重费米子材料与物理

谢武; 沈斌; 张勇军; 郭春煜; 许嘉诚; 路欣; 袁辉球

doi:10.7498/aps.68.20190801

摘要

作为典型的强关联电子体系, 重费米子材料表现出丰富的量子基态, 如反铁磁序、铁磁序、非常规超导、非费米液体、自旋液体、轨道序和拓扑态等. 相比其他强关联电子体系, 重费米子体系的特征能量尺度低, 可以通过压力、磁场或掺杂等参量对不同量子态进行连续调控, 因而是研究量子相变、超导及其相互作用的理想体系. 本文简要介绍重费米子研究的发展历史和国内外研究现状, 概述几类典型的重费米子材料, 并简单阐述重费米子超导、量子相变和强关联拓扑态等前沿科学问题.

关键词:

Abstract

As typical examples of strongly correlated electron systems, heavy fermion materials exhibit diverse quantum ground states such as antiferromagnetic order, ferromagnetic order, non-Fermi-liquid phases, unconventional superconductivity, quantum spin liquids, orbital order and topological order. In contrast to other strongly correlated electron systems, heavy fermion systems have relatively small characteristic energy scales, which allows different quantum states to be tuned continuously by using external parameters such as pressure, magnetic field and chemical doping. Heavy fermion materials thus serve as ideal systems for studying quantum phase transitions, superconductivity and their interplay. In this review, we briefly introduce the history of the field of heavy fermions and the current status both in China and in other countries. The properties of several representative heavy fermion systems are summarized, and some frontier scientific issues in this field are discussed, in particular, concerning heavy fermion superconductors, quantum phase transitions and exotic topological states in strongly correlated electron systems.

Keywords:

heavy fermion /
unconventional superconductivity /
strongly correlated topological states /
quantum phase transition /
quantum tuning

作者及机构信息

1.
浙江大学关联物质中心, 杭州　310058

2.
浙江大学物理系, 杭州　310027

通信作者: 袁辉球, hqyuan@zju.edu.cn

基金项目: 国家重点研发计划(批准号：2017YFA0303100，2016YFA0300202)、国家自然科学基金（批准号：U1632275、11674279）、浙江省自然科学基金杰出青年项目（批准号：LR18A04001）和科学挑战专项（批准号：TZ2016004）资助的课题.

Authors and contacts

1.
Center for Correlated Matter, Zhejiang University, Hangzhou 310058, China

2.
Department of Physics, Zhejiang University, Hangzhou 310027, China

Corresponding author: Yuan Hui-Qiu, hqyuan@zju.edu.cn

Funds: Project supported by the National Key R&D Program of China (Grant Nos. 2017YFA0303100, 2016YFA0300202), the National Natural Science Foundation of China (Grant Nos. U1632275, 11674279), the Young Scientists Fund of the Natural Science Foundation of Zhejiang Province, China (Grant No. LR18A04001), and the Science Challenge Project of China (Grant No. TZ2016004)

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参考文献

[1]	Andres K, Graebner J E, Ott H R 1975 Phys. Rev. Lett. 35 1779 Google Scholar
[2]	Grewe N 1984 Solid State Commun. 50 19 Google Scholar
[3]	Steglich F, Aarts J, Bredl C D, Lieke W, Meschede D, Franz W, Schäfer H 1979 Phys. Rev. Lett. 43 1892 Google Scholar
[4]	Petrovic C, Pagliuso P G, Hundley M F, Movshovich R, Sarrao J L, Thompson J D, Fisk Z, Monthoux P 2001 J. Phys. Condens. Matter 1 378
[5]	Hegger H, Petrovic C, Moshopoulou E G, Sarrao J L, Fisk Z, Thompson J D 2000 Phys. Rev. Lett. 84 4986 Google Scholar
[6]	Petrovic C, Movshovich R, Jaime M, Pagliuso P G, Hundley M F, Sarrao J L, Fisk Z, Thompson J D 2001 Europhys. Lett. 53 354 Google Scholar
[7]	Steglich F, Gegenwart P, Geibel C, Helfrich R, Hellmann P, Lang M, Link A, Modler R, Sparn G, Büttgen N, Loidl A 1996 Physica B 223-224 1
[8]	Yuan H Q, Grosche F M, Deppe M, Geibel C, Sparn G, Steglich F 2003 Science 302 2104 Google Scholar
[9]	Ueda K, Kitaoka Y, Yamada H, Kohori Y, Kohara Y, Asayama K 1987 J. Phys. Soc. Jpn. 56 867 Google Scholar
[10]	Pang G M, Smidman M, Zhang J L, Jiao L, Weng Z F, Nica E M, Chen Y, Jiang W B, Zhang Y J, Xie W, Jeevan H S, Lee H, Gegenwart P, Steglich F, Si Q M, Yuan H Q 2018 Proc. Natl. Acad. Sci. 115 5343 Google Scholar
[11]	Kittaka S, Aoki Y, Shimura Y, Sakakibara T, Seiro S, Geibel C, Steglich F, Ikeda H, Machida K 2014 Phys. Rev. Lett. 112 067002 Google Scholar
[12]	Ikeda H, Suzuki M, Arita R 2015 Phys. Rev. Lett. 114 147003 Google Scholar
[13]	Stockert O, Arndt J, Faulhaber E, Geibel C, Jeevan H S, Kirchner S, Loewenhaupt M, Schmalzl K, Schmidt W, Si Q, Steglich F 2011 Nat. Phys. 7 119 Google Scholar
[14]	Trovarelli O, Weiden M, Müller-Reisener R, Gómez-Berisso M, Gegenwart P, Deppe M, Geibel C, Sereni J G, Steglich F 1997 Phys. Rev. B 56 678 Google Scholar
[15]	Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lüthi B 1994 Phys. Rev. Lett. 72 1754 Google Scholar
[16]	Steglich F 2005 J. Phys. Soc. Jpn. 74 167 Google Scholar
[17]	Jaccard D, Behnia, Sierro J 1992 Phys. Lett. A 163 475 Google Scholar
[18]	Grosche F M, Julian S R, Mathur N D, Lonzarich G G 1996 Physica B 223-224 50 Google Scholar
[19]	Mathur N D, Grosche F M, Julian S R, Walker I R, Freye D M, Haselwimmer R K W, Lonzarich G G 1998 Nature 394 39 Google Scholar
[20]	Movshovich R, Graf T, Mandrus D, Thompson J D, Smith J L, Fisk Z 1996 Phys. Rev. B 53 8241 Google Scholar
[21]	Ren Z, Pourovskii L V, Giriat G, Lapertot G, Georges A, Jaccard D 2014 Phys. Rev. X 4 031055
[22]	Gegenwart P, Kromer F, Lang M, Sparn G, Geibel C, Steglich F 1999 Phys. Rev. Lett. 82 1293 Google Scholar
[23]	Pfleiderer C 2009 Rev. Mod. Phys. 81 1551 Google Scholar
[24]	Monthoux P, Pines D, Lonzarich G G 2007 Nature 450 1177 Google Scholar
[25]	Knebel G, Braithwaite D, Canfield P C, Lapertot G, Flouquet J 2001 Phys. Rev. B 65 024425 Google Scholar
[26]	Hertz J A 1976 Phys. Rev. B 14 1165 Google Scholar
[27]	Millis A J 1993 Phys. Rev. B 48 7183 Google Scholar
[28]	Sarrao J L, Thompson J D 2007 J. Phys. Soc. Jpn. 76 051013 Google Scholar
[29]	Koitzsch A, Borisenko S V, Inosov D, Geck J, Zabolotnyy V B, Shiozawa H, Knupfer M, Fink J, Büchner B, Bauer E D, Sarrao J L, Follath R 2008 Phys. Rev. B 77 155128 Google Scholar
[30]	Cornelius A L, Arko A J, Sarrao J L, Hundley M F, Fisk Z 2000 Phys. Rev. B 62 14181 Google Scholar
[31]	Hall D, Palm E C, Murphy T P, Tozer S W, Petrovic C, Eliza M R, Lydia P, Li C Q H, Alver U, Goodrich R G, Sarrao J L, Pagliuso P G, Wills J M, Fisk Z 2001 Phys. Rev. B 64 064506 Google Scholar
[32]	Akbari A, Thalmeier P 2012 Phys. Rev. B 86 134516 Google Scholar
[33]	An K, Sakakibara T, Settai R, Onuki Y, Hiragi M, Ichioka M, Machida K 2010 Phys. Rev. Lett. 104 037002 Google Scholar
[34]	Bianchi A, Movshovich R, Vekhter I, Pagliuso P G, Sarrao J L 2003 Phys. Rev. Lett. 91 257001 Google Scholar
[35]	Jiao L, Chen Y, Kohama Y, Graf D, Bauer E D, Singleton J, Zhu J X, Weng Z F, Pang G M, Shang T, Zhang J L, Lee H, Park T, Jaime M, Thompson J D, Steglich F, Si Q M, Yuan H Q 2015 Proc. Natl. Acad. Sci. 112 673 Google Scholar
[36]	Bianchi A, Movshovich R, Jaime M, Thompson J D, Pagliuso P G, Sarrao J L 2001 Phys. Rev. B 64 220504 Google Scholar
[37]	Nicklas M, Sidorov V A, Borges H A, Pagliuso P G, Petrovic C, Fisk Z, Sarrao J L, Thompson J D 2003 Phys. Rev. B 67 020506 Google Scholar
[38]	Kratochvilova M, Dusek M, Uhlirova K, Rudajevova A, Prokleska J, Vondrackova B, Custers J, Sechovsky V 2014 J. Cryst. Growth 397 47 Google Scholar
[39]	Kratochvílová M, Prokleška J, Uhlířová K, Tkáč V, Dušek M, Sechovský V, Custers J 2015 Sci. Rep. 5 15904 Google Scholar
[40]	Rossi D, Marazza R, Ferro R 1979 J. Less-Common Met. 66 P17 Google Scholar
[41]	Gegenwart P, Custers J, Geibel C, Neumaier K, Tayama T, Tenya K, Trovarelli O, Steglich F 2002 Phys. Rev. Lett. 89 056402 Google Scholar
[42]	Trovarelli O, Geibel C, Mederle S, Langhammer C, Grosche F M, Gegenwart P, Lang M, Sparn G, Steglich F 2000 Phys. Rev. Lett. 85 626 Google Scholar
[43]	Custers J, Gegenwart P, Wilhelm H, Neumaier K, Tokiwa Y, Trovarelli O, Geibel C, Steglich F, Pépin C, Coleman P 2003 Nature 424 524 Google Scholar
[44]	Friedemann S, Oeschler N, Wirth S, Krellner C, Geibel C, Steglich F, Paschen S, Kirchner S, Si Q 2010 Proc. Natl. Acad. Sci. 107 14547 Google Scholar
[45]	Schröder A, Aeppli G, Coldea R, Adams M, Stockert O, von Löhneysen H, Bucher E, Ramazashvili R, Coleman P 2000 Nature 407 351 Google Scholar
[46]	Si Q, Steglich F 2010 Science 329 1161 Google Scholar
[47]	Schuberth E, Tippmann M, Steinke L, Lausberg S, Brando S, Krellner C, Geibel C, Yu R, Si Q, Steglich F 2016 Science 351 485 Google Scholar
[48]	Ott H R, Rudigier H, Fisk Z, Smith J L 1983 Phys. Rev. Lett. 50 1595 Google Scholar
[49]	Ott H R, Rudigier H, Rice T M, Ueda K, Fisk Z, Smith J L 1984 Phys. Rev. Lett. 52 1915 Google Scholar
[50]	Einzel D, Hirschfeld P J, Gross F, Chandrasekhar B S, Andres K, Ott H R, Beuers J, Fisk Z, Smith J L 1986 Phys. Rev. Lett. 56 2513 Google Scholar
[51]	Shimizu Y, Kittaka S, Sakakibara T, Haga Y, Yamamoto E, Amitsuka H, Tsutsumi Y, Machida K 2015 Phys. Rev. Lett. 114 147002 Google Scholar
[52]	Joynt R, Taillefer L 2002 Rev. Mod. Phys. 74 235 Google Scholar
[53]	Heffner R H, Smith J L, Willis J O, Birrer P, Baines C, Gygax F N, Hitti B, Lippelt E, Ott H R, Schenck A, Knetsch E A, Mydosh J A, MacLaughlin D E 1990 Phys. Rev. Lett. 65 2816 Google Scholar
[54]	Fisher R A, Kim S, Woodfield B F, Phillips N E, Taillefer L, Hasselbach K, Flouquet J, Giorgi A L, Smith J L 1989 Phys. Rev. Lett. 62 1411 Google Scholar
[55]	Aeppli G, Bucher E, Broholm C, Kjems J K, Baumann J, Hufnagl J 1988 Phys. Rev. Lett. 60 615 Google Scholar
[56]	Sonier J E, Heffner R H, Morris G D, MacLaughlin D E, Bernal O O, Cooley J, Smith J L, Thompson J D 2003 Physica (Amsterdam) 326B 414
[57]	Schemm E R, Gannon W J, Wishne C M, Halperin W P, Kapitulnik A 2014 Science 345 190 Google Scholar
[58]	Huxley A, Rodière P, Paul D M, van Dijk N, Cubitt R, Flouquet J 2000 Nature 406 160 Google Scholar
[59]	Hayden S M, Taillefer L, Vettier C, Flouquet J 1992 Phys. Rev. B 46 8675
[60]	Bernhoeft N, Sato N, Roessli B, Aso N, Hiess A, Lander G H, Endoh Y, Komatsubara T 1998 Phys. Rev. Lett. 81 4244 Google Scholar
[61]	Saxena S S, Agarwal P, Ahilan K, Grosche F M, Haselwimmer R K W, Steiner M J, Pugh E, Walker I R, Julian S R, Monthoux P, Lonzarich G G, Huxley A, Sheikin I, Braithwaite D, louquet J 2000 Nature 406 587 Google Scholar
[62]	Aoki D, Huxley A, Ressouche E, Braithwaite D, Flouguet J, Brison J P, Lhotel E, Paulsen C 2001 Nature 413 613 Google Scholar
[63]	Huy N T, Gasparini A, de Nijs D E, Huang Y, Klaasse J C P, Gortenmulder T, de Visser A, Hamann A, Görlach T, von Löhneysen H 2007 Phys. Rev. Lett. 99 067006 Google Scholar
[64]	White B D, Thompson J D, Maple M B 2015 Physica C 514 246 Google Scholar
[65]	Tsujimoto M, Matsumoto Y, Tomita T, Sakai A, Nakatsuji S 2014 Phys. Rev. Lett. 113 267001 Google Scholar
[66]	Sakai A, Kuga K, Nakatsuji S 2012 J. Phys. Soc. Jpn. 81 083702 Google Scholar
[67]	Bauer E D, Frederick N A, Ho P C, Zapf V S, Maple M B 2002 Phys. Rev. B 65 100506 Google Scholar
[68]	Sarrao J L, Bauer E D, Mitchell J N, Tobash P H, Thompson J D 2015 Physica C 514 184 Google Scholar
[69]	Crro N J, Caldwell T, Bauer E D, Morales L A, Graf M J, Bang Y, Balatsky A V, Thompson J D, Sarrao J L 2005 Nature 434 622 Google Scholar
[70]	杨义峰, 李宇 2015 64 217401 Google Scholar Yang Y F, Li Y 2015 Acta Phys. Sin. 64 217401 Google Scholar
[71]	Ormeno R J, Sibley A, Gough C E 2002 Phys. Rev. Lett. 88 047005 Google Scholar
[72]	Izawa K, Yamaguchi H, Matsuda Y, Shishido H, Settai R, Onuki Y 2001 Phys. Rev. Lett. 87 057002 Google Scholar
[73]	Luke G M, Keren A, Le L P, Wu W D, Uemura Y J 1993 Phys. Rev. Lett. 71 1466 Google Scholar
[74]	Tsutsumi Y, Ishikawa M, Kawakami T, Mizushima T, Sato M, Ichioka M, Michida K 2013 J. Phys. Soc. Jpn. 82 113707 Google Scholar
[75]	Bauer E, Hilscher G, Michor H, Paul Ch, Scheidt E W, Gribanov A, Seropegin Yu, Noel H, Sigrist M, Rogl P 2004 Phys. Rev. Lett. 92 027003 Google Scholar
[76]	Smidman M, Salamon M B, Yuan H Q, Agterberg D F 2017 Rep. Prog. Phys. 80 036501 Google Scholar
[77]	Sigrist M, Ueda K 1991 Rev. Mod. Phys. 63 239 Google Scholar
[78]	Bonalde I, Bramer-Escamilla W, Bauer E 2005 Phys. Rev. Lett. 94 207002 Google Scholar
[79]	Yogi M, Mukuda H, Kitaoka Y, Hashimoto S, Yasuda T, Settai R, Matsuda T D, Haga Y, Ōnuki Y, Rogl P, Bauer E 2006 J. Phys. Soc. Jpn 75 013709 Google Scholar
[80]	Yogi M, Kitaoka Y, Hashimoto S, Yasuda T, Settai R, Matsuda T D, Haga Y, Ōnuki Y, Rogl P, Bauer E 2004 Phys. Rev. Lett. 93 027003 Google Scholar
[81]	Mukuda H, Nishide S, Harada A, Iwasaki K, Yogi M, Yashima M, Kitaoka Y, Tsujino M, Takeuchi T, Settai R, Onuki Y, Bauer E, Itoh KM, Haller E E 2009 J. Phys. Soc. Jpn. 78 014705 Google Scholar
[82]	Kimura N, Ito K, Aoki H, Uji S, Terashima T 2007 Phys. Rev. Lett. 98 197001 Google Scholar
[83]	Settai R, Miyauchi Y, Takeuchi T, Levy F, Sheikin I, Onuki Y 2008 J. Phys. Soc. Jpn. 77 073705 Google Scholar
[84]	Dressel M 2007 Naturwissenschaften 94 527 Google Scholar
[85]	Steglich F 2014 Phil. Mag. 94 3259 Google Scholar
[86]	Pfleiderer C, Huxley A D 2002 Phys. Rev. Lett. 89 147005 Google Scholar
[87]	Slooten E, Naka T, Gasparini A, Huang Y K, de Visser A 2009 Phys. Rev. Lett. 103 097003 Google Scholar
[88]	Lévy F, Sheikin I, Grenier B, Huxley A D 2005 Science 309 1343 Google Scholar
[89]	Matsubayashi K, Tanaka T, Sakai A, Nakatsuji S, Kubo Y, Uwatoko Y 2012 Phys. Rev. Lett. 109 187004 Google Scholar
[90]	Tomita T, Kuga K, Uwatoko Y, Coleman Piers, Nakatsuji S 2015 Science 349 506 Google Scholar
[91]	Settai R, Sugitani I, Okuda Y, Thamizhavel A, Nakashima M, Ōnuki Y, Harima H 2007 J. Magn. Magn. Mater. 310 844 Google Scholar
[92]	Mignot J M, Flouquet J, Haen P, Lapierre F, Puech L, Voiron J 1988 J. Magn. Magn. Mater. 76 97
[93]	Knafo W, Aoki D, Vignolles D, Vignolle B, Klein Y, Jaudet C, Villaume A, Proust C, Flouquet J 2010 Phys. Rev. B 81 094403 Google Scholar
[94]	Sugiyama K, Nakashima M, Ohkuni H, Kindo K, Haga Y, Honma T, Yamamoto E, Ōnuki Y 1999 J. Phys. Soc. Jpn. 68 3394 Google Scholar
[95]	Löhneysen H, Rosch A, Vojta M, Wölfle P 2007 Rev. Mod. Phys. 79 1015 Google Scholar
[96]	Arndt J, Stockert O, Schmalzl K, Faulhaber E, Jeevan H S, Geibel C, Schmidit W, Loewenhaupt M, Steglich F 2011 Phys. Rev. Lett. 106 246401 Google Scholar
[97]	Si Q, Rabello S, Ingersent K, Smith J L 2001 Nature 413 804 Google Scholar
[98]	Coleman P, Pépin C, Si Q, Ramazashvili R 2001 J. Phys. Condens. Matter 13 R723 Google Scholar
[99]	Gegenwart P, Si Q, Steglich F 2008 Nat. Phys. 4 186 Google Scholar
[100]	Knebel G, Aoki D, Braithwaite D, Salce B, Flouquet J 2006 Phys. Rev. B 74 020501
[101]	Senthil T, Sachdev S, Vojta M 2003 Phys. Rev. Lett. 90 216403 Google Scholar
[102]	Watanabe S, Miyake K 2010 Phys. Rev. Lett. 105 186403 Google Scholar
[103]	Abrahams E, Wölfle P 2012 Proc. Natl. Acad. Sci. 109 3238 Google Scholar
[104]	Yang Y 2016 Rep. Prog. Phys. 79 074501 Google Scholar
[105]	Jiao L, Smidman M, Kohama Y, Wang Z S, Graf D, Weng Z F, Zhang Y J, Matsuo A, Bauer E D, Lee Hanoh, Kirchner S, Singleton J, Kindo K, Wosnitza J, Steglich F, Thompson J D, Yuan H Q, 2019 Phys. Rev. B. 99 045127 Google Scholar
[106]	Shishido H, Settai R, Harima H, Ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1103 Google Scholar
[107]	Belitz D, Kirkpatrick T R, Vojta T 1999 Phys. Rev. Lett. 82 4707 Google Scholar
[108]	Uhlarz M, Pfleiderer C, Hayden S M 2004 Phys. Rev. Lett. 93 256404 Google Scholar
[109]	Barakat S, Braithwaite D, Alireza P, Grube K, Uhlarz M, Wilson J, Pfleiderer C, Flouquet J, Lonzarich G 2005 Physica B 359 1216
[110]	Pfleiderer C, McMullan G J, Julian S R, Lonzarich G G 1997 Phys. Rev. B 55 8330 Google Scholar
[111]	Friedemann S, Duncan W J, Hirschberger M, Bauer T W, Küchler R, Neubauer A, Brando M, Pfleiderer C, Grosche F M 2018 Nat. Phys. 14 62 Google Scholar
[112]	Wang R, Gebretsadik A, Ubaid-Kassis S, Schroeder A, Vojta T, Baker P J, Pratt F L, Blundell S J, Lancaster T, Franke I, Möller J S, Page K 2017 Phys. Rev. Lett. 118 267202 Google Scholar
[113]	Maple M B, Butch N P, Bauer E D, Zapf V S, Ho P C, Wilson S D, Dai P C, Adroja D T, Lee S H, Chung J H, Lynn J W 2006 Physica B 378 911
[114]	Steppke A, Küchler R, Lausberg S, Lengyel E, Steinke L, Borth R, Lühmann T, Krellner C, Nicklas M, Geibel C, Steglich F, Brando M 2013 Science 339 933 Google Scholar
[115]	Allen J W, Batlogg B, Wachter P L 1979 Phys. Rev. B 20 4807 Google Scholar
[116]	Wolgast S, Kurdak, C, Sun K, Allen J W, Kim D J, Fisk Z 2013 Phys. Rev. B 18 180405
[117]	Neupane M, Alidoust Nasser, Xu S Y, Kondo T, Ishida Y, Kim D J, Liu C, Belopolski I, Jo Y J, Chang T R, Jeng H T, Durakiewicz T, Balicas L, Lin H, Bansil A, Shin S, Fisk Z, Hasan M Z 2013 Nat. Commun. 4 2991 Google Scholar
[118]	Syers P, Kim D, Fuhrer M S, Paglione J 2015 Phys. Rev. Lett. 114 096601 Google Scholar
[119]	Miyazaki H, Hajiri T, Ito T, Kunii S, and Kimura S 2012 Phys. Rev. B 86 075105 Google Scholar
[120]	Jiao L, Rößler S, Kim D J, Tjeng L H, Fisk Z, Steglich F, Wirth S 2016 Nat. Commun. 7 13762 Google Scholar
[121]	Kim D J, Thomas S, Grant T, Botimer J, Fisk Z, Xia J 2013 Sci. Rep. 3 3150 Google Scholar
[122]	Li G, Xiang Z, Yu F, Asaba T, Lawson B, Cai P, Tinsman C, Berkley A, Wolgast S, Eo Y S, Kim D J, Kurdak C, Allen J W, Sun K, Chen X H, Wang Y Y, Fisk Z, Li L 2014 Science 346 1208 Google Scholar
[123]	Tan B S, Hsu Y T, Zeng B, Hatnean M C, Harrison N, Zhu Z, Hartstein1 M, Kiourlappou1 M, Srivastava1 A, Johannes M D, Murphy T P, Park J H, Balicas L, Lonzarich G G, Balakrishnan G, Sebastian Suchitra E 2015 Science 349 287 Google Scholar
[124]	Deng X, Haule K, Kotliar G 2013 Phys. Rev. Lett. 111 176404 Google Scholar
[125]	Xiang Z, Kasahara Y, Asaba T, Lawson1 B, Tinsman C, Chen Lu, Sugimoto U, Kawaguchi S, Sato Y, Li G, Yao S, Chen Y L, Iga F, Singleton J, Matsuda Y, Li L 2018 Science 362 65 Google Scholar
[126]	Weng H, Zhao J, Wang Z, Fang Z, Dai X 2014 Phys. Rev. Lett. 112 016403 Google Scholar
[127]	Dzero M, Sun K, Galitski V, Coleman P 2010 Phys. Rev. Lett. 104 106408 Google Scholar
[128]	Dzero M, Xia J, Galitski V, Coleman P 2016 Annu. Rev. Condens. Matter Phys. 7 249 Google Scholar
[129]	Armitage N P, Mele E J, Vishwanath A 2018 Rev. Mod. Phys. 90 015001 Google Scholar
[130]	Xu Y, Yue X, Weng H, Dai X 2017 Phys. Rev. X 7 011027
[131]	Lai H H, Grefe S E, Paschen S, Si Q 2018 Proc. Natl. Acad. Sci. 115 93 Google Scholar
[132]	Cao C, Zhi G X, Zhu J X 2019 arXiv 1904.00675
[133]	Guo C Y, Wu F, Wu Z Z, Smidman M, Cao C, Bostwick A, Jozwiak C, Rotenberg E, Liu Y, Steglich F, Yuan H Q 2018 Nat. Commun. 9 4622 Google Scholar
[134]	Wu F, Guo C Y, Smidman M, Zhang J L, Yuan H Q 2017 Phys. Rev. B 96 125122 Google Scholar
[135]	Li P, Wu Z, Wu F, Cao C, Guo C, Wu Yi, Liu Yi, Sun Zhe, Cheng C M, Lin D S, Steglich, F, Yuan Q Y, Chiang T C, Liu Y 2018 Phys. Rev. B 98 085103 Google Scholar
[136]	Wu F, Guo C Y, Smidman M, Zhang J L, Chen Y, Singleton J, Yuan H Q 2019 npj Quantum Mater. 4 20 Google Scholar
[137]	Wu Z Z, Wu F, Li P, Guo C Y, Liu Y, Sun Z, Cheng C M, Chiang T C, Cao C, Yuan H Q, Liu Y 2019 Phys. Rev. B 99 035158 Google Scholar
[138]	Duan X, Wu F, Chen J, Zhang P, Liu Y, Yuan H Q, Cao C 2018 Commun. Phys. 1 71 Google Scholar
[139]	Guo C, Cao C, Smidman M, Wu F, Zhang Y J, Zhang F C, Yuan H Q 2017 npj Quantum Mater. 2 39 Google Scholar
[140]	Maple M B, Chen J W, Dalichaouch Y, Kohara T, Rossel C, Torikachvili M S, McElfresh M W, Thompson J D 1986 Phys. Rev. Lett. 56 185 Google Scholar
[141]	Broholm C, Kjems J K, Buyers W J L, Matthews P, Palstra T T M, Menovsky A A, Mydosh J A 1987 Phys. Rev. Lett. 58 1467 Google Scholar
[142]	Mydosh J A, Oppeneer P M 2011 Rev. Mod. Phys. 83 1301 Google Scholar
[143]	Aynajian P, Neto E H da Silva, Parker C V, Huang Y K, Pasupathy A, Mydosh J A, Yazdani A 2010 Proc. Natl. Acad. Sci. 107 10383 Google Scholar
[144]	Shishido, Hashimoto K, Shibauchi T, Sasaki T, Oizumi H, Kobayashi N, Takamasu T, Takehana K, Imanaka Y, Matsuda T D, Haga Y, Onuki Y, Matsuda Y 2009 Phys. Rev. Lett. 102 156403 Google Scholar
[145]	Wiebe C R, Janik J A, MacDougall G J, Luke G M, Garrett J D, Zhou H D, Jo Y J, Balicas L, Qiu Y, Copley J R D, Yamani Z, Buyers W J L 2007 Nat. Phys. 3 96 Google Scholar
[146]	Matsuda Y, Okazaki R, Kasahara Y, Shishido H, Shibauchi T, Haga Y, Matsuda T D, Onuki Y 2010 Physica C 470 1013 Google Scholar
[147]	Schemm E R, Baumbach R E, Tobash P H, Ronning F, Bauer E D, Kapitulnik A 2015 Phys. Rev. B 91 140506 Google Scholar
[148]	Kung H H, Baumbach R E, Bauer E D, Thorsmølle V K, Zhang W L, Haule K, Mydosh Y A, Blumberg G 2015 Science 347 1339 Google Scholar
[149]	Okazaki R, Shibauchi T, Shi H J, Haga Y, Matsuda T D, Yamamoto E, Onuki Y, Ikeda H, Matsuda Y 2011 Science 331 439 Google Scholar
[150]	Lucas S, Grube K, Huang C L, Sakai A, Wunderlich S, Green E L, Wosnitza J, Fritsch V, Gegenwart P, Stockert O, von Löhneysen H 2017 Phys. Rev. Lett. 118 107204 Google Scholar
[151]	Gerber S, Bartkowiak M, Gavilano J, Ressouche E, Egetenmeyer N, Niedermayer C, Bianchi A D, Movshovich R, Bauer E D, Thompson J D, Kenzelmann M 2014 Nat. Phys. 10 126 Google Scholar
[152]	Si Q 2010 Phys. Status Solidi 247 476 Google Scholar
[153]	Kenzelmann M, Strssle T, Niedermayer C, Sigrist M, Padmanabhan B, Zolliker M, Bianchi A D, Movshovich R, Bauer E D, Sarrao J L, Thompson J D 2008 Science 321 1652 Google Scholar
[154]	Kumagai K, Shishido H, Shibauchi T, Matsuda Y 2011 Phys. Rev. Lett. 106 137004 Google Scholar
[155]	Radovan H A, Fortune N, Murphy T P, Hannahs S T, Palm E C, Tozer S W, Hall D 2003 Nature 425 51 Google Scholar
[156]	Kenzelmann M, Gerber S, Egetenmeyer N, Gavilano J L, Strässle T, Bianchi A D, Ressouche E, Movshovich R, Baue R E D, Sarrao J L, Thompson J D 2010 Phys. Rev. Lett. 104 127001 Google Scholar
[157]	Vergniory M G, Elcoro L, Felser C, Regnault N, Bernevig B A, Wang Z 2019 Nature 566 480 Google Scholar
[158]	Tang F, Po H C, Vishwanath A, Wan X 2019 Nature 566 486 Google Scholar
[159]	Zhang T, Jiang Y, Song Z, Huang H, He Y, Fang Z, Weng H M, Fang C 2019 Nature 566 475 Google Scholar

施引文献

图 1 重费米子材料大多是含有镧系或锕系元素的金属间化合物

Fig. 1. Intermetallic compounds with lanthanides or actinides form the majority of heavy fermion materials.

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图 2 (a) CeCu₂Si₂结构示意图; (b), (c)超导电性在电阻和比热上的体现^[3]; (d) 压力诱导的双超导相^[8]

Fig. 2. (a) A schematic illustration of the crystal structure of CeCu₂Si₂; (b) and (c) evidences for superconductivity in CeCu₂Si₂ from resistivity and heat capacity, respectively^[3]; (d) temperature-pressure phase diagram of CeCu₂Si₂ and CeCu₂(Si_1–_xGe_x)₂, suggesting two separate superconducting domes^[8].

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图 3 (a) Ce_nM_mIn₃_n₊₂_m(M = Co, Rh, Ir; n, m为整数)体系的晶体结构 (以M = Rh为例); (b) CeIn₃和CeRhIn₅的压力-温度相图示意图^[24]

Fig. 3. (a) Schematic illustrations of crystalline structures in Ce_nM_mIn₃_n₊₂_m(M = Co, Rh, Ir; n, m are integers) (M = Rh for example); (b) a schematic pressure-temperature phase diagram of CeIn₃ and CeRhIn₅^[24].

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图 4 (a) YbRh₂Si₂和YbRh₂(Si_0.95Ge_0.05)₂的B-T相图^[43]; (b) 极低温下的YbRh₂Si₂的B-T相图^[47]

Fig. 4. (a) Magnetic field (B)-temperature (T) phase diagram of YbRh₂Si₂ and YbRh₂(Si_0.95Ge_0.05)₂^[43]; (b) B-T phase diagram of YbRh₂Si₂ at lower temperature, suggesting a superconducting region^[47].

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图 5 (a) UBe₁₃结构示意图; (b) UPt₃结构示意图; (c) Th掺杂的UBe₁₃相图^[53]; (d) UPt₃的超导相图^[58]

Fig. 5. (a), (b) Schematic illustrations of the crystalline structure of UBe₁₃ and UPt₃, respectively; (c) superconducting phase diagram of UBe₁₃ as a function of Th-doping^[53]; (d) magnetic field–temperature superconducting phase diagram of UPt₃^[58].

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图 6 重费米子超导体CeCu₂Si₂的(a)磁场穿透深度Δλ^[10]和(b)低温比热系数C_e/T^[11], 两者在低温都呈指数衰减

Fig. 6. Temperature dependence of the magnetic penetration depth Δλ^[10] (a) and specific heat C_e/T^[11](b) of CeCu₂Si₂, both showing a fully gapped behavior at the lowest temperature.

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图 7 重费米子超导体超导相和量子相变　(a) CePd₂Si_2, 超导出现在反铁磁量子临界点附近^[19]; (b) UCoGe, 超导出现在铁磁量子相变附近^[87]; (c) PrTi₂Al_20, 超导与多极矩序^[89]; (d) β-YbAlB_4, 超导远离反铁磁量子临界点^[90]

Fig. 7. Heavy fermion superconductors and quantum phase diagrams: (a) CePd₂Si_2, superconductivity (SC) near an antiferromagnetic quantum critical point(QCP)^[19]; (b) UCoGe, SC near a ferromagnetic QCP^[87]; (c) PrTi₂Al_20, SC coexists with multipolar order and gets enhanced near its QCP^[89]; (d) β-YbAlB₄, SC far away from an antiferromagnetic QCP^[90].

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图 8 巡游量子临界点(a)和局域量子临界点(b)的理论相图　图中的横坐标是非热力的调控参量δ, 纵坐标表示温度T, 调控参量δ可以调节RKKY作用和Kondo作用的相对强度; 图(a)显示量子临界点伴随近藤效应的塌陷, 导致费米面在此发生跳变; 而在图(b)中, 近藤效应发生在反铁磁态内部, 费米面在量子临界点连续变化; T_N代表反铁磁转变温度, T_FL表示费米液体的温度上限, $ E_{\log }^* $标记小费米面到大费米面的转变, T₀代表近藤晶格形成的过渡区间^[99]

Fig. 8. Schematic phase diagrams for itinerant quantum critical point (QCP) (a) and local QCP (b), respectively, proposed in one theoretical model. The x-axis denotes nonthermal tuning parameters δ, y-axis is the temperature T. T_N is the antiferromagnetic ordering temperature, $ E_{\log }^* $ denotes the volume change of Fermi surface and T₀ is the temperature regime where kondo lattice forms^[99].

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图 9 CeRhIn₅在(a)压力^[100]和(b) 磁场调制下的相图^[35]; (c) 可能的零温压力-磁场相图^[35]

Fig. 9. Experimental phase diagram of CeRhIn₅ tuned by pressure^[100] (a) and magnetic field^[35] (b); (c) the proposed zero-temperature pressure-field global phase diagram^[35].

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图 10 (a) 拓扑近藤绝缘体SmB₆的电阻随温度变化测量结果^[116], 在低温, 电阻的上升趋势逐渐饱和, 形成一个平台; (b) 能带计算表明, SmB₆的能带结构中存在能带反转, 从而导致了表面狄拉克锥的出现^[128]

Fig. 10. (a) Temperature dependence of resistivity for a possible topological Kondo insulator SmB₆, where a clear plateau is observed at low temperature^[116]; (b) band inversion and surface Dirac cone of SmB₆, from band-structure calculation^[128].

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图 11 YbPtBi在低温重费米子态的拓扑性质^[133]　(a) 电子比热C_p正比于温度T的三次方; (b) 拓扑霍尔效应

Fig. 11. Topological properties of the low temperature heavy fermion state in YbPtBi^[133]: (a) T³-behavior of the low temperature specific heat C_p/T in different fields; (b) topological Hall effect at low temperatures.

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图 12 (a) URu₂Si₂材料在压力下的相图^[146], 隐藏序相逐渐被抑制, 转变为反铁磁序, 同时超导相消失; (b) CePdAl材料的磁场-温度相图^[150], 在某一磁场区间内, 比热测量结果表明其熵出现极大增加; (c) CeCoIn₅中子散射结果表明其超导上临界磁场附近存在一个特殊的Q相^[151]

Fig. 12. (a) Pressure-temperature phase diagram of URu₂Si₂^[146]; (b) magnetic field- temperature phase diagram of CePdAl^[150]; (c) Q-phase of CeCoIn₅, by neutron scattering measurements^[151].

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表 1 重费米子超导材料(超导转变温度T_c, 比热系数γ, 上临界场H_c2(0))

Table 1. A summary of heavy fermion superconductors (T_c is superconducting transition temperature, γ is specific heat coefficient, H_c2(0) is the upper critical field).

类型	化合物	T_c/K	γ/mJ·mol^–1·K^–2	H_c2 (0)/T
CeT₂X₂	CeCu₂Si₂	0.64	1000	0.45//a
	CeCu₂Ge₂	0.64 (10 GPa)		2//a
	CePd₂Si₂	0.5 (2.7 GPa)	65	0.7//a　 1.3//c
	CeAu₂Si₂	2.5 (22.5 GPa)
	CeNi₂Ge₂	0.3	350
	CeRh₂Si₂	0.35 (0.9 GPa)	23
CeTX₃	CeRhSi₃	1.05 (2.6 GPa)	110	7
	CeIrSi₃	1.59 (2.6 GPa)	120	30
	CeNiGe₃	0.48 (6.8 GPa)	34	2
	CeCoGe₃	0.7 (5.5 GPa)	32	22
	CeIrGe₃	1.6 (24 GPa)	80	17
Ce_mT_nIn₃_m₊₂_n	CeIn₃	0.25 (2.5 GPa)	370	0.45
	CeCoIn₅	2.3	300	11.6—11.9//a　 4.95//c
	CeRhIn₅	1.9 (1.77 GPa)	50	10.2//c
	CeIrIn₅	0.4	700	0.53
	CePt₂In₇	2.3 (3.1 GPa)	340	15
	Ce₂CoIn₈	0.4	460
	Ce₂RhIn₈	2.0 (2.3 GPa)	400	5.36
	Ce₂PdIn₈	0.68	550
	Ce₃PdIn₁₁	0.42	290	2.8
其他铈基	CePt₃Si	0.75	390	5
其他铈基	CePd₅Al₂	0.57 (10.8 GPa)	56	0.25
镨基	PrOs₄Sb₁₂	1.85	500	2.3
	PrTi₂Al₂₀	0.2	100	0.006
	PrV₂Al₂₀	0.05	90	0.014
镱基	YbRh₂Si₂	0.002
镱基	β-YbAlB₄	0.08	130	0.03
铀基	UIr	0.14 (2.6 GPa)	48.5	0.026
	UGe₂	0.7 (1.2 GPa)	100	1.4
	UBe₁₃	0.9	1000	9
	UPt₃	0.55, 0.48	422	2.8//a
	UCoGe	0.66	55	5//a
	URhGe	0.25	160	2//a
	UNi₂Al₃	1.0	120	1.6
	UPd₂Al₃	2.0	150	0.8
	URu₂Si₂	1.5	65.5	10
镎基	NpPd₅Al₂	5.0	200	3.7//a
钚基	PuCoGa₅	18.0	77	74
	PuCoIn₅	2.5	200	32//a, 10//c
	PuRhGa₅	9	80-150	25//ab
	PuRhIn₅	1.7	350	23//ab

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[1]	Andres K, Graebner J E, Ott H R 1975 Phys. Rev. Lett. 35 1779 Google Scholar
[2]	Grewe N 1984 Solid State Commun. 50 19 Google Scholar
[3]	Steglich F, Aarts J, Bredl C D, Lieke W, Meschede D, Franz W, Schäfer H 1979 Phys. Rev. Lett. 43 1892 Google Scholar
[4]	Petrovic C, Pagliuso P G, Hundley M F, Movshovich R, Sarrao J L, Thompson J D, Fisk Z, Monthoux P 2001 J. Phys. Condens. Matter 1 378
[5]	Hegger H, Petrovic C, Moshopoulou E G, Sarrao J L, Fisk Z, Thompson J D 2000 Phys. Rev. Lett. 84 4986 Google Scholar
[6]	Petrovic C, Movshovich R, Jaime M, Pagliuso P G, Hundley M F, Sarrao J L, Fisk Z, Thompson J D 2001 Europhys. Lett. 53 354 Google Scholar
[7]	Steglich F, Gegenwart P, Geibel C, Helfrich R, Hellmann P, Lang M, Link A, Modler R, Sparn G, Büttgen N, Loidl A 1996 Physica B 223-224 1
[8]	Yuan H Q, Grosche F M, Deppe M, Geibel C, Sparn G, Steglich F 2003 Science 302 2104 Google Scholar
[9]	Ueda K, Kitaoka Y, Yamada H, Kohori Y, Kohara Y, Asayama K 1987 J. Phys. Soc. Jpn. 56 867 Google Scholar
[10]	Pang G M, Smidman M, Zhang J L, Jiao L, Weng Z F, Nica E M, Chen Y, Jiang W B, Zhang Y J, Xie W, Jeevan H S, Lee H, Gegenwart P, Steglich F, Si Q M, Yuan H Q 2018 Proc. Natl. Acad. Sci. 115 5343 Google Scholar
[11]	Kittaka S, Aoki Y, Shimura Y, Sakakibara T, Seiro S, Geibel C, Steglich F, Ikeda H, Machida K 2014 Phys. Rev. Lett. 112 067002 Google Scholar
[12]	Ikeda H, Suzuki M, Arita R 2015 Phys. Rev. Lett. 114 147003 Google Scholar
[13]	Stockert O, Arndt J, Faulhaber E, Geibel C, Jeevan H S, Kirchner S, Loewenhaupt M, Schmalzl K, Schmidt W, Si Q, Steglich F 2011 Nat. Phys. 7 119 Google Scholar
[14]	Trovarelli O, Weiden M, Müller-Reisener R, Gómez-Berisso M, Gegenwart P, Deppe M, Geibel C, Sereni J G, Steglich F 1997 Phys. Rev. B 56 678 Google Scholar
[15]	Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lüthi B 1994 Phys. Rev. Lett. 72 1754 Google Scholar
[16]	Steglich F 2005 J. Phys. Soc. Jpn. 74 167 Google Scholar
[17]	Jaccard D, Behnia, Sierro J 1992 Phys. Lett. A 163 475 Google Scholar
[18]	Grosche F M, Julian S R, Mathur N D, Lonzarich G G 1996 Physica B 223-224 50 Google Scholar
[19]	Mathur N D, Grosche F M, Julian S R, Walker I R, Freye D M, Haselwimmer R K W, Lonzarich G G 1998 Nature 394 39 Google Scholar
[20]	Movshovich R, Graf T, Mandrus D, Thompson J D, Smith J L, Fisk Z 1996 Phys. Rev. B 53 8241 Google Scholar
[21]	Ren Z, Pourovskii L V, Giriat G, Lapertot G, Georges A, Jaccard D 2014 Phys. Rev. X 4 031055
[22]	Gegenwart P, Kromer F, Lang M, Sparn G, Geibel C, Steglich F 1999 Phys. Rev. Lett. 82 1293 Google Scholar
[23]	Pfleiderer C 2009 Rev. Mod. Phys. 81 1551 Google Scholar
[24]	Monthoux P, Pines D, Lonzarich G G 2007 Nature 450 1177 Google Scholar
[25]	Knebel G, Braithwaite D, Canfield P C, Lapertot G, Flouquet J 2001 Phys. Rev. B 65 024425 Google Scholar
[26]	Hertz J A 1976 Phys. Rev. B 14 1165 Google Scholar
[27]	Millis A J 1993 Phys. Rev. B 48 7183 Google Scholar
[28]	Sarrao J L, Thompson J D 2007 J. Phys. Soc. Jpn. 76 051013 Google Scholar
[29]	Koitzsch A, Borisenko S V, Inosov D, Geck J, Zabolotnyy V B, Shiozawa H, Knupfer M, Fink J, Büchner B, Bauer E D, Sarrao J L, Follath R 2008 Phys. Rev. B 77 155128 Google Scholar
[30]	Cornelius A L, Arko A J, Sarrao J L, Hundley M F, Fisk Z 2000 Phys. Rev. B 62 14181 Google Scholar
[31]	Hall D, Palm E C, Murphy T P, Tozer S W, Petrovic C, Eliza M R, Lydia P, Li C Q H, Alver U, Goodrich R G, Sarrao J L, Pagliuso P G, Wills J M, Fisk Z 2001 Phys. Rev. B 64 064506 Google Scholar
[32]	Akbari A, Thalmeier P 2012 Phys. Rev. B 86 134516 Google Scholar
[33]	An K, Sakakibara T, Settai R, Onuki Y, Hiragi M, Ichioka M, Machida K 2010 Phys. Rev. Lett. 104 037002 Google Scholar
[34]	Bianchi A, Movshovich R, Vekhter I, Pagliuso P G, Sarrao J L 2003 Phys. Rev. Lett. 91 257001 Google Scholar
[35]	Jiao L, Chen Y, Kohama Y, Graf D, Bauer E D, Singleton J, Zhu J X, Weng Z F, Pang G M, Shang T, Zhang J L, Lee H, Park T, Jaime M, Thompson J D, Steglich F, Si Q M, Yuan H Q 2015 Proc. Natl. Acad. Sci. 112 673 Google Scholar
[36]	Bianchi A, Movshovich R, Jaime M, Thompson J D, Pagliuso P G, Sarrao J L 2001 Phys. Rev. B 64 220504 Google Scholar
[37]	Nicklas M, Sidorov V A, Borges H A, Pagliuso P G, Petrovic C, Fisk Z, Sarrao J L, Thompson J D 2003 Phys. Rev. B 67 020506 Google Scholar
[38]	Kratochvilova M, Dusek M, Uhlirova K, Rudajevova A, Prokleska J, Vondrackova B, Custers J, Sechovsky V 2014 J. Cryst. Growth 397 47 Google Scholar
[39]	Kratochvílová M, Prokleška J, Uhlířová K, Tkáč V, Dušek M, Sechovský V, Custers J 2015 Sci. Rep. 5 15904 Google Scholar
[40]	Rossi D, Marazza R, Ferro R 1979 J. Less-Common Met. 66 P17 Google Scholar
[41]	Gegenwart P, Custers J, Geibel C, Neumaier K, Tayama T, Tenya K, Trovarelli O, Steglich F 2002 Phys. Rev. Lett. 89 056402 Google Scholar
[42]	Trovarelli O, Geibel C, Mederle S, Langhammer C, Grosche F M, Gegenwart P, Lang M, Sparn G, Steglich F 2000 Phys. Rev. Lett. 85 626 Google Scholar
[43]	Custers J, Gegenwart P, Wilhelm H, Neumaier K, Tokiwa Y, Trovarelli O, Geibel C, Steglich F, Pépin C, Coleman P 2003 Nature 424 524 Google Scholar
[44]	Friedemann S, Oeschler N, Wirth S, Krellner C, Geibel C, Steglich F, Paschen S, Kirchner S, Si Q 2010 Proc. Natl. Acad. Sci. 107 14547 Google Scholar
[45]	Schröder A, Aeppli G, Coldea R, Adams M, Stockert O, von Löhneysen H, Bucher E, Ramazashvili R, Coleman P 2000 Nature 407 351 Google Scholar
[46]	Si Q, Steglich F 2010 Science 329 1161 Google Scholar
[47]	Schuberth E, Tippmann M, Steinke L, Lausberg S, Brando S, Krellner C, Geibel C, Yu R, Si Q, Steglich F 2016 Science 351 485 Google Scholar
[48]	Ott H R, Rudigier H, Fisk Z, Smith J L 1983 Phys. Rev. Lett. 50 1595 Google Scholar
[49]	Ott H R, Rudigier H, Rice T M, Ueda K, Fisk Z, Smith J L 1984 Phys. Rev. Lett. 52 1915 Google Scholar
[50]	Einzel D, Hirschfeld P J, Gross F, Chandrasekhar B S, Andres K, Ott H R, Beuers J, Fisk Z, Smith J L 1986 Phys. Rev. Lett. 56 2513 Google Scholar
[51]	Shimizu Y, Kittaka S, Sakakibara T, Haga Y, Yamamoto E, Amitsuka H, Tsutsumi Y, Machida K 2015 Phys. Rev. Lett. 114 147002 Google Scholar
[52]	Joynt R, Taillefer L 2002 Rev. Mod. Phys. 74 235 Google Scholar
[53]	Heffner R H, Smith J L, Willis J O, Birrer P, Baines C, Gygax F N, Hitti B, Lippelt E, Ott H R, Schenck A, Knetsch E A, Mydosh J A, MacLaughlin D E 1990 Phys. Rev. Lett. 65 2816 Google Scholar
[54]	Fisher R A, Kim S, Woodfield B F, Phillips N E, Taillefer L, Hasselbach K, Flouquet J, Giorgi A L, Smith J L 1989 Phys. Rev. Lett. 62 1411 Google Scholar
[55]	Aeppli G, Bucher E, Broholm C, Kjems J K, Baumann J, Hufnagl J 1988 Phys. Rev. Lett. 60 615 Google Scholar
[56]	Sonier J E, Heffner R H, Morris G D, MacLaughlin D E, Bernal O O, Cooley J, Smith J L, Thompson J D 2003 Physica (Amsterdam) 326B 414
[57]	Schemm E R, Gannon W J, Wishne C M, Halperin W P, Kapitulnik A 2014 Science 345 190 Google Scholar
[58]	Huxley A, Rodière P, Paul D M, van Dijk N, Cubitt R, Flouquet J 2000 Nature 406 160 Google Scholar
[59]	Hayden S M, Taillefer L, Vettier C, Flouquet J 1992 Phys. Rev. B 46 8675
[60]	Bernhoeft N, Sato N, Roessli B, Aso N, Hiess A, Lander G H, Endoh Y, Komatsubara T 1998 Phys. Rev. Lett. 81 4244 Google Scholar
[61]	Saxena S S, Agarwal P, Ahilan K, Grosche F M, Haselwimmer R K W, Steiner M J, Pugh E, Walker I R, Julian S R, Monthoux P, Lonzarich G G, Huxley A, Sheikin I, Braithwaite D, louquet J 2000 Nature 406 587 Google Scholar
[62]	Aoki D, Huxley A, Ressouche E, Braithwaite D, Flouguet J, Brison J P, Lhotel E, Paulsen C 2001 Nature 413 613 Google Scholar
[63]	Huy N T, Gasparini A, de Nijs D E, Huang Y, Klaasse J C P, Gortenmulder T, de Visser A, Hamann A, Görlach T, von Löhneysen H 2007 Phys. Rev. Lett. 99 067006 Google Scholar
[64]	White B D, Thompson J D, Maple M B 2015 Physica C 514 246 Google Scholar
[65]	Tsujimoto M, Matsumoto Y, Tomita T, Sakai A, Nakatsuji S 2014 Phys. Rev. Lett. 113 267001 Google Scholar
[66]	Sakai A, Kuga K, Nakatsuji S 2012 J. Phys. Soc. Jpn. 81 083702 Google Scholar
[67]	Bauer E D, Frederick N A, Ho P C, Zapf V S, Maple M B 2002 Phys. Rev. B 65 100506 Google Scholar
[68]	Sarrao J L, Bauer E D, Mitchell J N, Tobash P H, Thompson J D 2015 Physica C 514 184 Google Scholar
[69]	Crro N J, Caldwell T, Bauer E D, Morales L A, Graf M J, Bang Y, Balatsky A V, Thompson J D, Sarrao J L 2005 Nature 434 622 Google Scholar
[70]	杨义峰, 李宇 2015 64 217401 Google Scholar Yang Y F, Li Y 2015 Acta Phys. Sin. 64 217401 Google Scholar
[71]	Ormeno R J, Sibley A, Gough C E 2002 Phys. Rev. Lett. 88 047005 Google Scholar
[72]	Izawa K, Yamaguchi H, Matsuda Y, Shishido H, Settai R, Onuki Y 2001 Phys. Rev. Lett. 87 057002 Google Scholar
[73]	Luke G M, Keren A, Le L P, Wu W D, Uemura Y J 1993 Phys. Rev. Lett. 71 1466 Google Scholar
[74]	Tsutsumi Y, Ishikawa M, Kawakami T, Mizushima T, Sato M, Ichioka M, Michida K 2013 J. Phys. Soc. Jpn. 82 113707 Google Scholar
[75]	Bauer E, Hilscher G, Michor H, Paul Ch, Scheidt E W, Gribanov A, Seropegin Yu, Noel H, Sigrist M, Rogl P 2004 Phys. Rev. Lett. 92 027003 Google Scholar
[76]	Smidman M, Salamon M B, Yuan H Q, Agterberg D F 2017 Rep. Prog. Phys. 80 036501 Google Scholar
[77]	Sigrist M, Ueda K 1991 Rev. Mod. Phys. 63 239 Google Scholar
[78]	Bonalde I, Bramer-Escamilla W, Bauer E 2005 Phys. Rev. Lett. 94 207002 Google Scholar
[79]	Yogi M, Mukuda H, Kitaoka Y, Hashimoto S, Yasuda T, Settai R, Matsuda T D, Haga Y, Ōnuki Y, Rogl P, Bauer E 2006 J. Phys. Soc. Jpn 75 013709 Google Scholar
[80]	Yogi M, Kitaoka Y, Hashimoto S, Yasuda T, Settai R, Matsuda T D, Haga Y, Ōnuki Y, Rogl P, Bauer E 2004 Phys. Rev. Lett. 93 027003 Google Scholar
[81]	Mukuda H, Nishide S, Harada A, Iwasaki K, Yogi M, Yashima M, Kitaoka Y, Tsujino M, Takeuchi T, Settai R, Onuki Y, Bauer E, Itoh KM, Haller E E 2009 J. Phys. Soc. Jpn. 78 014705 Google Scholar
[82]	Kimura N, Ito K, Aoki H, Uji S, Terashima T 2007 Phys. Rev. Lett. 98 197001 Google Scholar
[83]	Settai R, Miyauchi Y, Takeuchi T, Levy F, Sheikin I, Onuki Y 2008 J. Phys. Soc. Jpn. 77 073705 Google Scholar
[84]	Dressel M 2007 Naturwissenschaften 94 527 Google Scholar
[85]	Steglich F 2014 Phil. Mag. 94 3259 Google Scholar
[86]	Pfleiderer C, Huxley A D 2002 Phys. Rev. Lett. 89 147005 Google Scholar
[87]	Slooten E, Naka T, Gasparini A, Huang Y K, de Visser A 2009 Phys. Rev. Lett. 103 097003 Google Scholar
[88]	Lévy F, Sheikin I, Grenier B, Huxley A D 2005 Science 309 1343 Google Scholar
[89]	Matsubayashi K, Tanaka T, Sakai A, Nakatsuji S, Kubo Y, Uwatoko Y 2012 Phys. Rev. Lett. 109 187004 Google Scholar
[90]	Tomita T, Kuga K, Uwatoko Y, Coleman Piers, Nakatsuji S 2015 Science 349 506 Google Scholar
[91]	Settai R, Sugitani I, Okuda Y, Thamizhavel A, Nakashima M, Ōnuki Y, Harima H 2007 J. Magn. Magn. Mater. 310 844 Google Scholar
[92]	Mignot J M, Flouquet J, Haen P, Lapierre F, Puech L, Voiron J 1988 J. Magn. Magn. Mater. 76 97
[93]	Knafo W, Aoki D, Vignolles D, Vignolle B, Klein Y, Jaudet C, Villaume A, Proust C, Flouquet J 2010 Phys. Rev. B 81 094403 Google Scholar
[94]	Sugiyama K, Nakashima M, Ohkuni H, Kindo K, Haga Y, Honma T, Yamamoto E, Ōnuki Y 1999 J. Phys. Soc. Jpn. 68 3394 Google Scholar
[95]	Löhneysen H, Rosch A, Vojta M, Wölfle P 2007 Rev. Mod. Phys. 79 1015 Google Scholar
[96]	Arndt J, Stockert O, Schmalzl K, Faulhaber E, Jeevan H S, Geibel C, Schmidit W, Loewenhaupt M, Steglich F 2011 Phys. Rev. Lett. 106 246401 Google Scholar
[97]	Si Q, Rabello S, Ingersent K, Smith J L 2001 Nature 413 804 Google Scholar
[98]	Coleman P, Pépin C, Si Q, Ramazashvili R 2001 J. Phys. Condens. Matter 13 R723 Google Scholar
[99]	Gegenwart P, Si Q, Steglich F 2008 Nat. Phys. 4 186 Google Scholar
[100]	Knebel G, Aoki D, Braithwaite D, Salce B, Flouquet J 2006 Phys. Rev. B 74 020501
[101]	Senthil T, Sachdev S, Vojta M 2003 Phys. Rev. Lett. 90 216403 Google Scholar
[102]	Watanabe S, Miyake K 2010 Phys. Rev. Lett. 105 186403 Google Scholar
[103]	Abrahams E, Wölfle P 2012 Proc. Natl. Acad. Sci. 109 3238 Google Scholar
[104]	Yang Y 2016 Rep. Prog. Phys. 79 074501 Google Scholar
[105]	Jiao L, Smidman M, Kohama Y, Wang Z S, Graf D, Weng Z F, Zhang Y J, Matsuo A, Bauer E D, Lee Hanoh, Kirchner S, Singleton J, Kindo K, Wosnitza J, Steglich F, Thompson J D, Yuan H Q, 2019 Phys. Rev. B. 99 045127 Google Scholar
[106]	Shishido H, Settai R, Harima H, Ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1103 Google Scholar
[107]	Belitz D, Kirkpatrick T R, Vojta T 1999 Phys. Rev. Lett. 82 4707 Google Scholar
[108]	Uhlarz M, Pfleiderer C, Hayden S M 2004 Phys. Rev. Lett. 93 256404 Google Scholar
[109]	Barakat S, Braithwaite D, Alireza P, Grube K, Uhlarz M, Wilson J, Pfleiderer C, Flouquet J, Lonzarich G 2005 Physica B 359 1216
[110]	Pfleiderer C, McMullan G J, Julian S R, Lonzarich G G 1997 Phys. Rev. B 55 8330 Google Scholar
[111]	Friedemann S, Duncan W J, Hirschberger M, Bauer T W, Küchler R, Neubauer A, Brando M, Pfleiderer C, Grosche F M 2018 Nat. Phys. 14 62 Google Scholar
[112]	Wang R, Gebretsadik A, Ubaid-Kassis S, Schroeder A, Vojta T, Baker P J, Pratt F L, Blundell S J, Lancaster T, Franke I, Möller J S, Page K 2017 Phys. Rev. Lett. 118 267202 Google Scholar
[113]	Maple M B, Butch N P, Bauer E D, Zapf V S, Ho P C, Wilson S D, Dai P C, Adroja D T, Lee S H, Chung J H, Lynn J W 2006 Physica B 378 911
[114]	Steppke A, Küchler R, Lausberg S, Lengyel E, Steinke L, Borth R, Lühmann T, Krellner C, Nicklas M, Geibel C, Steglich F, Brando M 2013 Science 339 933 Google Scholar
[115]	Allen J W, Batlogg B, Wachter P L 1979 Phys. Rev. B 20 4807 Google Scholar
[116]	Wolgast S, Kurdak, C, Sun K, Allen J W, Kim D J, Fisk Z 2013 Phys. Rev. B 18 180405
[117]	Neupane M, Alidoust Nasser, Xu S Y, Kondo T, Ishida Y, Kim D J, Liu C, Belopolski I, Jo Y J, Chang T R, Jeng H T, Durakiewicz T, Balicas L, Lin H, Bansil A, Shin S, Fisk Z, Hasan M Z 2013 Nat. Commun. 4 2991 Google Scholar
[118]	Syers P, Kim D, Fuhrer M S, Paglione J 2015 Phys. Rev. Lett. 114 096601 Google Scholar
[119]	Miyazaki H, Hajiri T, Ito T, Kunii S, and Kimura S 2012 Phys. Rev. B 86 075105 Google Scholar
[120]	Jiao L, Rößler S, Kim D J, Tjeng L H, Fisk Z, Steglich F, Wirth S 2016 Nat. Commun. 7 13762 Google Scholar
[121]	Kim D J, Thomas S, Grant T, Botimer J, Fisk Z, Xia J 2013 Sci. Rep. 3 3150 Google Scholar
[122]	Li G, Xiang Z, Yu F, Asaba T, Lawson B, Cai P, Tinsman C, Berkley A, Wolgast S, Eo Y S, Kim D J, Kurdak C, Allen J W, Sun K, Chen X H, Wang Y Y, Fisk Z, Li L 2014 Science 346 1208 Google Scholar
[123]	Tan B S, Hsu Y T, Zeng B, Hatnean M C, Harrison N, Zhu Z, Hartstein1 M, Kiourlappou1 M, Srivastava1 A, Johannes M D, Murphy T P, Park J H, Balicas L, Lonzarich G G, Balakrishnan G, Sebastian Suchitra E 2015 Science 349 287 Google Scholar
[124]	Deng X, Haule K, Kotliar G 2013 Phys. Rev. Lett. 111 176404 Google Scholar
[125]	Xiang Z, Kasahara Y, Asaba T, Lawson1 B, Tinsman C, Chen Lu, Sugimoto U, Kawaguchi S, Sato Y, Li G, Yao S, Chen Y L, Iga F, Singleton J, Matsuda Y, Li L 2018 Science 362 65 Google Scholar
[126]	Weng H, Zhao J, Wang Z, Fang Z, Dai X 2014 Phys. Rev. Lett. 112 016403 Google Scholar
[127]	Dzero M, Sun K, Galitski V, Coleman P 2010 Phys. Rev. Lett. 104 106408 Google Scholar
[128]	Dzero M, Xia J, Galitski V, Coleman P 2016 Annu. Rev. Condens. Matter Phys. 7 249 Google Scholar
[129]	Armitage N P, Mele E J, Vishwanath A 2018 Rev. Mod. Phys. 90 015001 Google Scholar
[130]	Xu Y, Yue X, Weng H, Dai X 2017 Phys. Rev. X 7 011027
[131]	Lai H H, Grefe S E, Paschen S, Si Q 2018 Proc. Natl. Acad. Sci. 115 93 Google Scholar
[132]	Cao C, Zhi G X, Zhu J X 2019 arXiv 1904.00675
[133]	Guo C Y, Wu F, Wu Z Z, Smidman M, Cao C, Bostwick A, Jozwiak C, Rotenberg E, Liu Y, Steglich F, Yuan H Q 2018 Nat. Commun. 9 4622 Google Scholar
[134]	Wu F, Guo C Y, Smidman M, Zhang J L, Yuan H Q 2017 Phys. Rev. B 96 125122 Google Scholar
[135]	Li P, Wu Z, Wu F, Cao C, Guo C, Wu Yi, Liu Yi, Sun Zhe, Cheng C M, Lin D S, Steglich, F, Yuan Q Y, Chiang T C, Liu Y 2018 Phys. Rev. B 98 085103 Google Scholar
[136]	Wu F, Guo C Y, Smidman M, Zhang J L, Chen Y, Singleton J, Yuan H Q 2019 npj Quantum Mater. 4 20 Google Scholar
[137]	Wu Z Z, Wu F, Li P, Guo C Y, Liu Y, Sun Z, Cheng C M, Chiang T C, Cao C, Yuan H Q, Liu Y 2019 Phys. Rev. B 99 035158 Google Scholar
[138]	Duan X, Wu F, Chen J, Zhang P, Liu Y, Yuan H Q, Cao C 2018 Commun. Phys. 1 71 Google Scholar
[139]	Guo C, Cao C, Smidman M, Wu F, Zhang Y J, Zhang F C, Yuan H Q 2017 npj Quantum Mater. 2 39 Google Scholar
[140]	Maple M B, Chen J W, Dalichaouch Y, Kohara T, Rossel C, Torikachvili M S, McElfresh M W, Thompson J D 1986 Phys. Rev. Lett. 56 185 Google Scholar
[141]	Broholm C, Kjems J K, Buyers W J L, Matthews P, Palstra T T M, Menovsky A A, Mydosh J A 1987 Phys. Rev. Lett. 58 1467 Google Scholar
[142]	Mydosh J A, Oppeneer P M 2011 Rev. Mod. Phys. 83 1301 Google Scholar
[143]	Aynajian P, Neto E H da Silva, Parker C V, Huang Y K, Pasupathy A, Mydosh J A, Yazdani A 2010 Proc. Natl. Acad. Sci. 107 10383 Google Scholar
[144]	Shishido, Hashimoto K, Shibauchi T, Sasaki T, Oizumi H, Kobayashi N, Takamasu T, Takehana K, Imanaka Y, Matsuda T D, Haga Y, Onuki Y, Matsuda Y 2009 Phys. Rev. Lett. 102 156403 Google Scholar
[145]	Wiebe C R, Janik J A, MacDougall G J, Luke G M, Garrett J D, Zhou H D, Jo Y J, Balicas L, Qiu Y, Copley J R D, Yamani Z, Buyers W J L 2007 Nat. Phys. 3 96 Google Scholar
[146]	Matsuda Y, Okazaki R, Kasahara Y, Shishido H, Shibauchi T, Haga Y, Matsuda T D, Onuki Y 2010 Physica C 470 1013 Google Scholar
[147]	Schemm E R, Baumbach R E, Tobash P H, Ronning F, Bauer E D, Kapitulnik A 2015 Phys. Rev. B 91 140506 Google Scholar
[148]	Kung H H, Baumbach R E, Bauer E D, Thorsmølle V K, Zhang W L, Haule K, Mydosh Y A, Blumberg G 2015 Science 347 1339 Google Scholar
[149]	Okazaki R, Shibauchi T, Shi H J, Haga Y, Matsuda T D, Yamamoto E, Onuki Y, Ikeda H, Matsuda Y 2011 Science 331 439 Google Scholar
[150]	Lucas S, Grube K, Huang C L, Sakai A, Wunderlich S, Green E L, Wosnitza J, Fritsch V, Gegenwart P, Stockert O, von Löhneysen H 2017 Phys. Rev. Lett. 118 107204 Google Scholar
[151]	Gerber S, Bartkowiak M, Gavilano J, Ressouche E, Egetenmeyer N, Niedermayer C, Bianchi A D, Movshovich R, Bauer E D, Thompson J D, Kenzelmann M 2014 Nat. Phys. 10 126 Google Scholar
[152]	Si Q 2010 Phys. Status Solidi 247 476 Google Scholar
[153]	Kenzelmann M, Strssle T, Niedermayer C, Sigrist M, Padmanabhan B, Zolliker M, Bianchi A D, Movshovich R, Bauer E D, Sarrao J L, Thompson J D 2008 Science 321 1652 Google Scholar
[154]	Kumagai K, Shishido H, Shibauchi T, Matsuda Y 2011 Phys. Rev. Lett. 106 137004 Google Scholar
[155]	Radovan H A, Fortune N, Murphy T P, Hannahs S T, Palm E C, Tozer S W, Hall D 2003 Nature 425 51 Google Scholar
[156]	Kenzelmann M, Gerber S, Egetenmeyer N, Gavilano J L, Strässle T, Bianchi A D, Ressouche E, Movshovich R, Baue R E D, Sarrao J L, Thompson J D 2010 Phys. Rev. Lett. 104 127001 Google Scholar
[157]	Vergniory M G, Elcoro L, Felser C, Regnault N, Bernevig B A, Wang Z 2019 Nature 566 480 Google Scholar
[158]	Tang F, Po H C, Vishwanath A, Wan X 2019 Nature 566 486 Google Scholar
[159]	Zhang T, Jiang Y, Song Z, Huang H, He Y, Fang Z, Weng H M, Fang C 2019 Nature 566 475 Google Scholar

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