Quantum criticalities in carrier-doped iron-based superconductors

Li Zheng; Zhou Rui; Zheng Guo-Qing

doi:10.7498/aps.64.217404

Abstract

In the past several decades, quantum phase transition and the associated fluctuations have emerged as a major challenge to our understanding of condensed matter. Such transition is tuned by an external parameter such as pressure, chemical doping or magnetic field. The transition point, called quantum critical point (QCP), is only present at absolute zero temperature (T), but its influence (quantum criticality), is spread to nonzero temperature region. Quite often, new stable orders of matter, such as superconductivity, emerge around the QCP, whose relationship with the quantum fluctuations is one of the most important issues. Iron-pnictide superconductors are the second class of high-temperature superconductor family whose phase diagram is very similar to the first class, the copper-oxides. Superconductivity emerges in the vicinity of exotic orders, such as antiferromagnetic, structural or nematic order. Therefore, iron-pnictides provide us a very good opportunity to study quantum criticality. Here we review nuclear magnetic resonance (NMR) study on the coexistence of states and quantum critical phenomena in both hole-doped system Ba1-xKxFe2As2 as well as electron-doped systems BaFe2-xNixAs2 and LaFeAsO1-xFx. Firstly, we found that the 75As NMR spectra split or are broadened for H//c-axis, and shift to a higher frequency for H//ab-plane below a certain temperature in the underdoped region of both hole-doped Ba1-xKxFe2As2 and electron-doped BaFe2-xNixAs2, which indicate that an internal magnetic field develops along the c-axis due to an antiferromagnetic order. Upon further cooling, the spin-lattice relaxation rate 1/T1 measured at the shifted peak shows a distinct decrease below the superconducting critical temperature Tc. These results show unambiguously that the antiferromagnetic order and superconductivity coexist microscopically, which is the essential condition of magnetic QCP. Moreover, the much weaker T-dependence of 1/T1 in the superconducting state compared with the optimal doping sample suggests that the coexisting region is an unusual state and deserves further investigation. Secondly, we conducted transport measurements in electron-doped BaFe2-xNixAs2 system, and found a T-linear resistivity at two critical points. One is at the optimal doping xc1 = 0.10, while the other is in the overdoped region xc2 = 0.14. We found that 1/T1 is nearly T-independent above Tc at xc1 where TN =0, which indicates that xc1 is a magnetic QCP and the observed T-linear resistivity is due to the quantum fluctuation. We find that 1/T1 close to the optimal doping in both Ba1-xKxFe2As2 and LaFeAsO1-xFx also shows a similar behavior as in BaFe2-xNixAs2. The results suggest that superconductivity in these compounds is strongly tied to the quantum antiferromagnetic spin fluctuation. We further studied the structural transition in BaFe2-xNixAs2 by NMR. Since the a-axis and b-axis are not identical below the nematic structural transition temperature Ts, the electric field-gradient becomes asymmetric. Therefore the NMR satellite peaks associated with nuclear spin I=3/2 of 75As split for a twinned single crystal, when the external magnetic field is applied along a- or b-axis. We were able to track the nematic structural transition up to x=0.12. The Ts extrapolates to zero at x=0.14 which suggests that xc2 is a QCP associated with a nematic structural phase transition and the T-linear resistivity at xc2 is therefore due to the QCP. No existing theories can explain such behavior of the resistivity and we call for theoretical investigations in this regard.

Keywords:

Authors and contacts

1.
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Corresponding author: Zheng Guo-Qing, gqzheng@iphy.ac.cn

Funds: Project supported by the CAS Strategic Priority Research Program, China (Grant No. XDB07020200), the State Key Development Program for Basic Research of China (Grant Nos. 2012CB821402, 2015CB921304), and the National Natural Science Foundation of China (Grant No. 11104336).

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[39]	Luetkens H, Klauss H H, Kraken M, Litterst F J, Dellmann T, Klingeler R, Hess C, Khasanov R, Amato A, Baines C, Kosmala M, Schumann O J, Braden M, Hamann-Borrero J, Leps N, Kondrat A, Behr G, Werner J, Buchner B 2009 Nat. Mater. 8 305
[40]	Oka T, Li Z, Kawasaki S, Chen G F, Wang N L, Zheng G Q 2012 Phys. Rev. Lett. 108 047001
[41]	Mazin I I, Singh D J, Johannes M D, Du M H 2008 Phys. Rev. Lett. 101 057003
[42]	Kuroki K, Onari S, Arita R, Usui H, Tanaka Y, Kontani H, Aoki H 2008 Phys. Rev. Lett. 101 087004
[43]	Graser S, Maier T A, Hirschfeld P J, Scalapino D J 2009 New. J. Phys. 11 025016
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Cited By

[1]	Cooper R A, Wang Y, Vignolle B, Lipscombe O J, Hayden S M, Tanabe Y, Adachi T, Koike Y, Nohara M, Takagi H, Proust C, Hussey N E 2009 Science 323 603
[2]	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
[3]	Gegenwart P, Si Q, Steglich F 2008 Nat. Phys. 4 186
[4]	Coleman P, Schofield A J 2005 Nature 433 226
[5]	Sachdev S, Keimer B 2011 Phys. Today 64 29
[6]	Kamihara Y, Watanabe T, Hirano M, Hosono H 2008 J. Am. Chem. Soc. 130 3296
[7]	Ren Z A, Lu W, Yang J, Yi W, Shen X L, Li Z C, Che G C, Dong X L, Sun L L, Zhou F, Zhao Z X 2008 Chin. Phys. Lett. 25 2215
[8]	Fernandes R, Schmalian J 2010 Phys. Rev. B 82 014521
[9]	Hertz J A 1976 Phys. Rev. B 14 1165
[10]	Chakravarty S, Halperin B I, Nelson D R 1989 Phys. Rev. B 39 2344
[11]	Moriya T 1991 J. Mag. Mag. Mat. 100 261
[12]	Xu C, Mller M, Sachdev S 2008 Phys. Rev. B 78 020501
[13]	Chubukov A V, Hirschfeld P J 2015 Phys. Today 68 46
[14]	Rotter M, Pangerl M, Tegel M, Johrendt D 2008 Angew. Chem. Int. Ed. 47 7949
[15]	Li L J, Luo Y K, Wang Q B, Chen H, Ren Z, Tao Q, Li Y K, Lin X, He M, Zhu Z W, Cao G H, Xu Z A 2009 New. J. Phys. 11 025008
[16]	Julien M H, Mayaffre H, Horvatic M, Berthier C, Zhang X D, Wu W, Chen G F, Wang N L, Luo J L 2009 Europhys. Lett. 87 37001
[17]	Park J T, Inosov D S, Niedermayer C, Sun G L, Haug D, Christensen N B, Dinnebier R, Boris A V, Drew A J, Schulz L, Shapoval T, Wolff U, Neu V, Yang X, Lin C T, Keimer B, Hinkov V 2009 Phys. Rev. Lett. 102 117006
[18]	Baek S H, Lee H, Brown S E, Curro N J, Bauer E D, Ronning F, Park T, Thompson J D 2009 Phys. Rev. Lett. 102 227601
[19]	Urbano R R, Green E L, Moulton W G, Reyes A P, Kuhns P L, Bittar E M, Adriano C, Garitezi T M, Bufaiçal L, Pagliuso P G 2010 Phys. Rev. Lett. 105 107001
[20]	Wiesenmayer E, Luetkens H, Pascua G, Khasanov R, Amato A, Potts H, Banusch B, Klauss H H, Johrendt D 2011 Phys. Rev. Lett. 107 237001
[21]	Avci S, Chmaissem O, Goremychkin E A, Rosenkranz S, Castellan J P, Chung D Y, Todorov I S, Schlueter J A, Claus H, Kanatzidis M G, Daoud-Aladine A, Khalyavin D, Osborn R 2011 Phys. Rev. B 83 172503
[22]	Laplace Y, Bobroff J, Rullier-Albenque F, Colson D, Forget A 2009 Phys. Rev. B 80 140501
[23]	Sanna S, De Renzi R, Lamura G, Ferdeghini C, Palenzona A, Putti M, Tropeano M, Shiroka T 2009 Phys. Rev. B 80 052503
[24]	Sun G L, Sun D L, Konuma M, Popovich P, Boris A, Peng J B, Choi K Y, Lemmens P, Lin C T 2011 J. Supercond. Nov. Magn. 24 1773
[25]	Li Z, Zhou R, Liu Y, Sun D L, Yang J, Lin C T, Zheng G Q 2012 Phys. Rev. B 86 180501
[26]	Shen B, Yang H, Wang Z S, Han F, Zeng B, Shan L, Ren C, Wen H H 2011 Phys. Rev. B 84 184512
[27]	Li Z, Sun D L, Lin C T, Su Y H, Hu J P, Zheng G Q 2011 Phys. Rev. B 83 140506
[28]	Huang Q, Qiu Y, Bao W, Green M A, Lynn J W, Gasparovic Y C, Wu T, Wu G, Chen X H 2008 Phys. Rev. Lett. 101 257003
[29]	Kitagawa K, Katayama N, Ohgushi K, Yoshida M, Takigawa M 2008 J. Phys. Soc. Jpn. 77 114709
[30]	Kawasaki S, Mito T, Kawasaki Y, Zheng G Q, Kitaoka Y, Aoki D, Haga Y, Onuki Y 2003 Phys. Rev. Lett. 91 137001
[31]	Ma F J, Lu Z Y, Xiang T 2010 Front. Phys. China 5 150
[32]	Zhou R, Li Z, Yang J, Sun D L, Lin C T, Zheng G Q 2013 Nat. Commun. 4 2265
[33]	Fuseya Y, Kohno H, Miyake K 2003 J. Phys. Soc. Jpn. 72 2914
[34]	Maiti S, Fernandes R M, Chubukov A V 2012 Phys. Rev. B 85 144527
[35]	Ning F L, Ahilan K, Imai T, Sefat A S, McGuire M A, Sales B C, Mandrus D, Cheng P, Shen B, Wen H H 2010 Phys. Rev. Lett. 104 037001
[36]	Dai Y M, Xu B, Shen B, Xiao H, Wen H H, Qiu X G, Homes C C, Lobo R P S M 2013 Phys. Rev. Lett. 111 117001
[37]	Nakai Y, Iye T, Kitagawa S, Ishida K, Ikeda H, Kasahara S, Shishido H, Shibauchi T, Matsuda Y, Terashima T 2010 Phys. Rev. Lett. 105 107003
[38]	Hashimoto K, Cho K, Shibauchi T, Kasahara S, Mizukami Y, Katsumata R, Tsuruhara Y, Terashima T, Ikeda H, Tanatar M A, Kitano H, Salovich N, Giannetta R W, Walmsley P, Carrington A, Prozorov R, Matsuda Y 2012 Science 336 1554
[39]	Luetkens H, Klauss H H, Kraken M, Litterst F J, Dellmann T, Klingeler R, Hess C, Khasanov R, Amato A, Baines C, Kosmala M, Schumann O J, Braden M, Hamann-Borrero J, Leps N, Kondrat A, Behr G, Werner J, Buchner B 2009 Nat. Mater. 8 305
[40]	Oka T, Li Z, Kawasaki S, Chen G F, Wang N L, Zheng G Q 2012 Phys. Rev. Lett. 108 047001
[41]	Mazin I I, Singh D J, Johannes M D, Du M H 2008 Phys. Rev. Lett. 101 057003
[42]	Kuroki K, Onari S, Arita R, Usui H, Tanaka Y, Kontani H, Aoki H 2008 Phys. Rev. Lett. 101 087004
[43]	Graser S, Maier T A, Hirschfeld P J, Scalapino D J 2009 New. J. Phys. 11 025016
[44]	Kontani H, Onari S 2010 Phys. Rev. Lett. 104 157001

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