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Artificial manipulation of electronic degrees of freedom is the key point to realize modern electronic devices. Both charge and spin of electron have been widely studied and applied to logic circuits and information storage devices. Valley, the unique degree of freedom of crystal electrons, has also attracted great attention of the researchers in the past decade. The valleytronics progress benefits from the tremendous improvements of the two-dimensional atomic layer material growth technologies and in-depth explorations of valley properties. Valleytronic materials, represented by two-dimensional transition metal dichalcogenides, have become an excellent platform for the research and design of new electronic devices due to their special optical responses and distinctive electronic transport properties. The valley devices have the advantages of fast operation, low energy consumption, less information loss, high integration and long transmission distance. In this review, we first introduce the basic concepts and properties of the energy valley, such as the valley Hall effect and the valley circular dichroism. Second, we describe the crystal structures and energy band diagrams of the two-dimensional transition metal dichalcogenides. Third, the progress in artificial manipulation of the valley effects is summarized. Some approaches which can break the inversion symmetry and therefore induce the valley degree of freedom are introduced. Fourth, we discuss the methods of realizing valley polarization. Fifth, the developments of valleytronic devices in recent years are reviewed. Finally, a summary and an outlook are given. [1] Urbaszek B, Marie X 2015 Nature Phys. 11 94Google Scholar
[2] Amet F, Finkelstein G 2015 Nature Phys. 11 989Google Scholar
[3] Li X, Moody G 2017 Nature Phys. 13 9Google Scholar
[4] Yu H, Yao W 2017 Nat. Mater. 16 876Google Scholar
[5] Zhang F 2018 Nature Phys. 14 111Google Scholar
[6] Xiao D, Yao W, Niu Q 2007 Phys. Rev. Lett. 99 236809Google Scholar
[7] Yao W, Xiao D, Niu Q 2008 Phys. Rev. B 77 235406Google Scholar
[8] Xiao D, Liu G B, Feng W, Xu X, Yao W 2012 Phys. Rev. Lett. 108 196802Google Scholar
[9] Xie L, Cui X D 2016 P. Natl. Acad. Sci. 113 3746Google Scholar
[10] Ye Y, Xiao J, Wang H, Ye Z, Zhu H, Zhao M, Wang Y, Zhao J, Yin X, Zhang X 2016 Nat. Nanotech. 11 598Google Scholar
[11] Vitale S A, Nezich D, Varghese J O, Kim P, Gedik N, Jarillo-Herrero P, Xiao D, Rothschild M 2018 Small 14 1801483Google Scholar
[12] Schaibley J R, Yu H, Clark G, Rivera P, Ross J S, Seyler K L, Yao W, Xu X 2016 Nat. Rev. Mater. 1 16055Google Scholar
[13] Sham L J, Allen S J Jr, Kamgar A, Tsui D C 1978 Phys. Rev. Lett. 40 472Google Scholar
[14] Ohkawa F J, Uemura Y 1977 J. Phys. Soc. Jpn. 43 907Google Scholar
[15] Shkolnikov Y P, De Poortere E P, Tutuc E, Shayegan M 2002 Phys. Rev. Lett. 89 226805Google Scholar
[16] Gunawan O, Shkolnikov Y P, Vakili K, Gokmen T, De Poortere E P, Shayegan M 2006 Phys. Rev. Lett. 97 186404Google Scholar
[17] Koiller B, Hu X, Das Sarma S 2002 Phys. Rev. Lett. 88 027903
[18] Goswami S, Slinker K A, Friesen M, McGuire L M, Truitt J L, Tahan C, Klein L J, Chu J O, Mooney P M, van der Weide D W, Joynt R, Coppersmith S N, Eriksson M A 2007 Nature Phys. 3 41Google Scholar
[19] Isberg, J, Gabrysch M, Hammersberg J, Majdi S, Kovi K K, Twitchen D J 2013 Nat. Mater. 12 760Google Scholar
[20] Zhu Z, Collaudin A, Fauqué B, Kang W, Behnia K 2012 Nature Phys. 8 89Google Scholar
[21] Xiao D, Chang M C, Niu Q 2010 Reviews of Modern Physics 82 1959Google Scholar
[22] Mak K F, McGill K L, Park J, McEuen P L 2014 Science 344 1489Google Scholar
[23] Lee J, Mak K F, Shan J 2016 Nat. Nanotech. 11 421Google Scholar
[24] Ubrig N, Jo S, Philippi M, Costanzo D, Berger H, Kuzmenko A B, Morpurgo A F 2017 Nano Lett. 17 5719Google Scholar
[25] Barré E, Incorvia J A C, Kim S H, McClellan C J, Pop E, Wong H-S P, Heinz T F 2019 Nano Lett. 19 770Google Scholar
[26] Hung T Y T, Camsari K Y, Zhang S, Upadhyaya P, Chen Z 2019 Sci. Adv. 5 6478Google Scholar
[27] Wu Z, Zhou B T, Cai X, Cheung P, Liu G B, Huang M, Lin J, Han T, An L, Wang Y, Xu S, Long G, Cheng C, Law K T, Zhang F, Wang N 2019 Nat. Commun. 10 611Google Scholar
[28] Cao T, Wang G, Han W, Ye H, Zhu C, Shi J, Niu Q, Tan P, Wang E, Liu B, Feng J 2012 Nat. Commun. 3 887Google Scholar
[29] Mak K F, He K, Shan J, Heinz T F 2012 Nat. Nanotech. 7 494Google Scholar
[30] Zeng H, Dai J, Yao W, Xiao D, Cui X D 2012 Nat. Nanotech. 7 490Google Scholar
[31] Ji Q, Zhang Y, Gao T, Zhang Y, Ma D, Liu M, Chen Y, Qiao X, Tan P H, Kan M 2013 Nano Lett. 13 3870Google Scholar
[32] Song Z, Li Z, Wang H, Bai X, Wang W, Du H, Liu S, Wang C, Han J, Yang Y 2017 Nano Lett. 17 2079Google Scholar
[33] Wan Y, Xiao J, Li J, Fang X, Zhang K, Fu L, Li P, Song Z, Zhang H, Wang Y, Zhao M, Lu J, Tang N, Ran G, Zhang X, Ye Y, Dai L 2018 Adv. Mater. 30 1703888Google Scholar
[34] Glazov M M, Ivchenko E L, Wang G, Amand T, Marie X, Urbaszek B, Liu B L 2015 Phys. Status Solidi B 252 2349Google Scholar
[35] Yang L, Sinitsyn N A, Chen W, Yuan J, Zhang J, Lou J, Crooker S A 2015 Nature Phys. 11 830Google Scholar
[36] Hsu W T, Chen Y L, Chen C H, Liu P S, Hou T H, Li L J, Chang W H 2015 Nat. Commun. 6 8963Google Scholar
[37] Dey P, Yang L, Robert C, Wang G, Urbaszek B, Marie X, Crooker S A 2017 Phys. Rev. Lett. 119 137401Google Scholar
[38] Manzeli S, Ovchinnikov D, Pasquier D, Yazyev O V, Kis A 2017 Nat. Rev. Mater. 2 17033Google Scholar
[39] Radisavljevic B, Radenovic A, Brivio J, Giacometti V, Kis A 2011 Nat. Nanotech. 6 147Google Scholar
[40] Wang Q H, Kalantar-Zadeh K, Kis A, Coleman J N, Strano M S 2012 Nat. Nanotech. 7 699Google Scholar
[41] Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805Google Scholar
[42] Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano Lett. 10 1271Google Scholar
[43] Zhou B T, Yuan N F Q, Jiang H L, Law K T 2016 Phys. Rev. B 93 180501Google Scholar
[44] Sundaram R S, Engel M, Lombardo A, Krupke R, Ferrari A C, Avouris P, Steiner M 2013 Nano Lett. 13 1416Google Scholar
[45] Lopez-Sanchez O, Lembke D, Kayci M, Radenovic A, Kis A 2013 Nat. Nanotech. 8 497Google Scholar
[46] Yun W S, Han S W, Hong S C, Kim I G, Lee J D 2012 Phys. Rev. B 85 033305Google Scholar
[47] Conley H J, Wang B, Ziegler J I, Haglund R F Jr, Pantelides S T, Bolotin K I 2013 Nano Lett. 13 3626Google Scholar
[48] Fu L, Wan Y, Tang N, Ding Y M, Gao J, Yu J, Guan H, Zhang K, Wang W, Zhang C, Shi J J, Wu X, Shi S F, Ge W, Dai L, Shen B 2017 Sci. Adv. 3 e1700162Google Scholar
[49] Fan X, Chang C H, Zheng W T, Kuo J L, Singh D J 2015 J. Phys. Chem. C 119 10189Google Scholar
[50] Gorbachev R V, Song J C W, Yu G L, Kretinin A V, Withers F, Cao Y, Mishchenko A, Grigorieva I V, Novoselov K S, Levitov L S, Geim A K 2014 Science 346 448Google Scholar
[51] Sui M, Chen G, Ma L, Shan W Y, Tian D, Watanabe K, Taniguchi T, Jin X, Yao W, Xiao D, Zhang Y 2015 Nature Phys. 11 1027Google Scholar
[52] Shimazaki Y, Yamamoto M, Borzenets I V, Watanabe K, Taniguchi T, Tarucha S 2015 Nature Phys. 11 1032Google Scholar
[53] Lensky Y D, Song J C W, Samutpraphoot P, Levitov L S 2015 Phys. Rev. Lett. 114 256601Google Scholar
[54] Abanin D A, Shytov A V, Levitov L S, Halperin B I 2009 Phys. Rev. B 79 035304Google Scholar
[55] Liu G B, Shan W Y, Yao Y, Yao W, Xiao D 2013 Phys. Rev. B 88 085433Google Scholar
[56] Kośmider K, González J W, Fernández-Rossier J 2013 Phys. Rev. B 88 245436Google Scholar
[57] Wu S, Ross J S, Liu G B, Aivazian G, Jones A, Fei Z, Zhu W, Xiao D, Yao W, Cobden D, Xu X 2013 Nature Phys. 9 149Google Scholar
[58] Jiang T, Liu H, Huang D, Zhang S, Li Y, Gong X, Shen Y R, Liu W T, Wu S 2014 Nat. Nanotech. 9 825Google Scholar
[59] Kato Y K, Myers R C, Gossard A C, Awschalom D D 2004 Science 306 1910Google Scholar
[60] Sih V, Myers R C, Kato Y K, Lau W H, Gossard A C, Awschalom D D 2005 Nature Phys. 1 31Google Scholar
[61] Gong C, Colombo L, Wallace R M, Cho K 2014 Nano Lett. 14 1714Google Scholar
[62] Bampoulis P, van Bremen R, Yao Q, Poelsema B, Zandvliet H J W, Sotthewes K 2017 ACS Appl. Mater. Interfaces 9 19278Google Scholar
[63] Kim C, Moon I, Lee D, Choi M S, Ahmed F, Nam S, Cho Y, Shin H J, Park S, Yoo W J 2017 ACS Nano 11 1588Google Scholar
[64] Yuan H, Bahramy M S, Morimoto K, Wu S, Nomura K, Yang B J, Shimotani H, Suzuki R, Toh M, Kloc C, Xu X, Arita R, Nagaosa N, Iwasa Y 2013 Nature Phys. 9 563Google Scholar
[65] Lyanda-Geller Y B, Li S, Andreev A V 2015 Phys. Rev. B 92 241406Google Scholar
[66] Eginligil M, Cao B, Wang Z, Shen X, Cong C, Shang J, Soci C, Yu T 2015 Nat. Commun. 6 7636Google Scholar
[67] Yuan H, Wang X, Lian B, Zhang H, Fang X, Shen B, Xu G, Xu Y, Zhang S C, Hwang H Y, Cui Y 2014 Nat. Nanotechnol. 9 851Google Scholar
[68] Guan H, Tang N, Xu X, Shang L, Huang W, Fu L, Fang X, Yu J, Zhang C, Zhang X, Dai L, Chen Y, Ge W, Shen B 2017 Phys. Rev. B 96 241304Google Scholar
[69] Suzuki R, Sakano M, Zhang Y, Akashi R, Morikawa D, Harasawa A, Yaji K, Kuroda K, Miyamoto K, Okuda T, Ishizaka K, Arita R, Iwasa Y 2014 Nat. Nanotech. 9 611Google Scholar
[70] Guan H, Tang N, Huang H, Zhang X, Su M, Liu X, Liao L, Ge W, Shen B 2019 ACS Nano 13 9325Google Scholar
[71] Sanchez O L, Ovchinnikov D, Misra S, Allain A, Kis A 2016 Nano Lett. 16 5792Google Scholar
[72] Li Y, Ludwig J, Low T, Chernikov A, Cui X, Arefe G, Kim Y D, van der Zande A M, Rigosi A, Hill H M, Kim S H, Hone J, Li Z, Smirnov D, Heinz T F 2014 Phys. Rev. Lett. 113 266804Google Scholar
[73] Srivastava A, Sidler M, Allain A V, Lembke D S, Kis A, Imamoğlu A 2015 Nature Phys. 11 141Google Scholar
[74] Qi J, Li X, Niu Q, Feng J 2015 Phys. Rev. B 92 121403Google Scholar
[75] Xu L, Yang M, Shen L, Zhou J, Zhu T, Feng Y P 2018 Phys. Rev. B 97 041405Google Scholar
[76] Zollner K, Junior P E F, Fabian J 2020 Phys. Rev. B 101 085112Google Scholar
[77] Mao X, Liu Z, Li J, Li C, Teng S, Liu Y, Xu X 2020 Journal of Magnetism and Magnetic Materials 512 167061Google Scholar
[78] Zhao C, Norden T, Zhang P, Zhao P, Cheng Y, Sun F, Parry J P, Taheri P, Wang J, Yang Y, Scrace T, Kang K, Yang S, Miao G X, Sabirianov R, Kioseoglou G, Huang W, Petrou A, Zeng H 2017 Nat. Nanotech. 12 757Google Scholar
[79] Zhang Q Y, Yang S Y A, Mi W B, Cheng Y C, Schwingenschlogl U 2016 Adv. Mater. 28 959Google Scholar
[80] Norden T, Zhao C, Zhang P, Sabirianov R, Petrou A, Zeng H 2019 Nat. Commun. 10 4163Google Scholar
[81] Huang B, Clark G, Klein D R, MacNeill D, Navarro-Moratalla E, Seyler K L, Wilson N, McGuire M A, Cobden D H, Xiao D, Yao W, Jarillo-Herrero P, Xu X 2018 Nat. Nanotech. 13 544Google Scholar
[82] Lin G T, Zhuang H L, Luo X, Liu B J, Chen F C, Yan J, Sun Y, Zhou J, Lu W J, Tong P T, Sheng Z G, Qu Z, Song W H, Zhu X B, Sun Y P 2017 Phys. Rev. B 95 245212Google Scholar
[83] Deng Y, Yu Y, Song Y, Zhang J, Wang N Z, Sun Z, Yi Y, Wu Y Z, Wu S, Zhu J, Wang J, Chen X H, Zhang Y 2018 Nature 563 94Google Scholar
[84] Seyler K L, Zhong D, Huang B, Linpeng X, Wilson N P, Taniguchi T, Watanabe K, Yao W, Xiao D, McGuire M A, Fu K M, Xu X 2018 Nano Lett. 18 3823Google Scholar
[85] Ke C, Wu Y, Guo G Y, Lin W, Wu Z, Zhou C, Kang J 2018 Phys. Rev. Appl. 9 044029Google Scholar
[86] Hu T, Zhao G, Gao H, Wu Y, Hong J, Stroppa A, Ren W 2020 Phys. Rev. B 101 125401Google Scholar
[87] Zollner K, Junior P E F, Fabian J 2019 Phys. Rev. B 100 085128Google Scholar
[88] Peng B, Li Q, Liang X, Song P, Li J, He K, Fu D, Li Y, Shen C, Wang H, Wang C, Liu T, Zhang L, Lu H, Wang X, Zhao J, Xie J, Wu M, Bi L, Deng L, Loh K P 2017 ACS Nano 11 12257Google Scholar
[89] Ke C, Wu Y, Yang W, Wu Z, Zhang C, Li X, Kang J 2019 Phys. Rev. B 100 195435Google Scholar
[90] Ramasubramaniam A, Naveh D 2013 Phys. Rev. B 87 195201Google Scholar
[91] Yin M Y, Wang X C, Mi W B, Yang B H 2015 Computational Materials Science 99 326Google Scholar
[92] Zhou J, Lin J, Sims H, Jiang C, Cong C, Brehm J A, Zhang Z, Niu L, Chen Y, Zhou Y, Wang Y, Liu F, Zhu C, Yu T, Suenaga K, Mishra R, Pantelides S T, Zhu Z G, Gao W, Liu Z, Zhou W 2020 Adv. Mater. 32 1906536Google Scholar
[93] Li Q, Zhao X, Deng L, Shi Z, Liu S, Wei Q, Zhang L, Cheng Y, Zhang L, Lu H, Gao W, Huang W, Qiu C W, Xiang G, Pennycook S J, Xiong Q, Loh K P, Peng B 2020 ACS Nano 14 4636Google Scholar
[94] Liu J, Hou W J, Cheng C, Fu H X, Sun J T, Meng S 2017 J. Phys.: Condens. Matter 29 255501Google Scholar
[95] Wang Y, Deng L, Wei Q, Wan Y, Liu Z, Lu X, Li Y, Bi L, Zhang L, Lu H, Chen H, Zhou P, Zhang L, Cheng Y, Zhao X, Ye Y, Huang W, Pennycook S J, Loh K P, Peng B 2020 Nano Lett. 20 2129Google Scholar
[96] Wu G Y, Lue N Y, Chen Y C 2013 Phys. Rev. B 88 125422Google Scholar
[97] Rycerz A, Tworzydło J, Beenakker C W J 2007 Nature Phys. 3 172Google Scholar
[98] Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, von Molnár S, Roukes M L, Chtchelkanova A Y, Treger D M 2001 Science 294 1488Google Scholar
[99] Lee M K, Lue N Y, Wen C K, Wu G Y 2012 Phys. Rev. B 86 165411Google Scholar
[100] Datta S, Das B 1990 Appl. Phys. Lett. 56 665Google Scholar
[101] Wu G Y, Lue N Y, Chang L 2011 Phys. Rev. B 84 195463Google Scholar
[102] Wu G Y, Lue N Y 2012 Phys. Rev. B 86 045456Google Scholar
[103] Yu H, Wu Y, Liu G B, Xu X, Yao W 2014 Phys. Rev. Lett. 113 156603Google Scholar
[104] Zhang Y J, Oka T, Suzuki R, Ye J T, Iwasa Y 2014 Science 344 725Google Scholar
[105] Yang W, Shang J, Wang J, Shen X, Cao B, Peimyoo N, Zou C, Chen Y, Wang Y, Cong C, Huang W, Yu T 2016 Nano Lett. 16 1560Google Scholar
[106] Scrace T, Tsai Y, Barman B, Schweidenback L, Petrou A, Kioseoglou G, Ozfidan I, Korkusinski M, Hawrylak P 2015 Nat. Nanotech. 10 603Google Scholar
[107] Onga M, Zhang Y, Suzuki R, Iwasa Y 2016 Appl. Phys. Lett. 108 073107Google Scholar
[108] Jones A M, Yu H, Ghimire N J, Wu S, Aivazian G, Ross J S, Zhao B, Yan J, Mandrus D G, Xiao D, Yao W, Xu X 2013 Nat. Nanotech. 8 634Google Scholar
[109] Ye Z, Sun D, Heinz T F 2017 Nat. Phys. 13 26Google Scholar
[110] Wang G, Marie X, Liu B, Amand T, Robert C, Cadiz F, Renucci P, Urbaszek B 2016 Phys. Rev. Lett. 117 187401Google Scholar
[111] Yu H, Liu G B, Gong P, Xu X, Yao W 2014 Nat. Commun. 5 3876Google Scholar
[112] Kim J, Jin C, Chen B, Cai H, Zhao T, Lee P, Kahn S, Watanabe K, Taniguchi T, Tongay S, Crommie M F, Wang F 2017 Sci. Adv. 3 e1700518Google Scholar
[113] Rivera P, Seyler K L, Yu H, Schaibley J R, Yan J, Mandrus D G, Yao W, Xu X 2016 Science 351 688Google Scholar
[114] Rivera P, Yu H, Seyler K L, Wilson N P, Yao W, Xu X 2018 Nat. Nanotechnol. 13 1004Google Scholar
[115] Unuchek D, Ciarrocchi A, Avsar A, Sun Z, Watanabe K, Taniguchi T, Kis A 2019 Nat. Nanotech. 14 1104Google Scholar
[116] Gong S H, Komen I, Alpeggiani F, Kuipers L 2020 Nano Lett. 20 4410Google Scholar
[117] Li L, Shao L, Liu X, Gao A, Wang H, Zheng B, Hou G, Shehzad K, Yu L, Miao F, Shi Y, Xu Y, Wang X 2020 Nat. Nanotech. 15 743Google Scholar
[118] Fang Y, Verre R, Shao L, Nordlander P, Käll M 2016 Nano Lett. 16 5183Google Scholar
[119] Tao L L, Tsymbal E Y 2019 Phys. Rev. B 100 161110Google Scholar
[120] Tao L L, Naeemi A, Tsymbal E Y 2020 Phys. Rev. Appl. 13 054043Google Scholar
[121] Avsar A, Unuchek D, Liu J, Sanchez O L, Watanabe K, Taniguchi T, Özyilmaz B, Kis A 2017 ACS Nano 11 11678Google Scholar
[122] Luo Y K, Xu J, Zhu T, Wu G, McCormick E J, Zhan W, Neupane M R, Kawakami R K 2017 Nano Lett. 17 3877Google Scholar
[123] Ominato Y, Fujimoto J, Matsuo M 2020 Phys. Rev. Lett. 124 166803Google Scholar
[124] Yu Z M, Guan S, Sheng X L, Gao W, Yang S A 2020 Phys. Rev. Lett. 124 037701Google Scholar
-
图 4 单层MoS2在83 K下的圆偏振极化PL谱和PL谱的圆偏振极化程度. 红色和蓝色曲线分别对应于发光光谱中
${\sigma ^ + }$ 和${\sigma ^ - }$ 极化强度, 黑色曲线是净极化的大小[28]Figure 4. Circularly polarized micro-PL of monolayer MoS2 at 83 K, along with the degree of circular polarization of the PL spectra. The red and blue curves correspond to the intensities of
${\sigma ^ + }$ and${\sigma ^ - }$ polarizations, respectively, in the luminescence spectrum. The black curve is the net degree of polarization[28].图 5 (a)体MoS2, (b)四层MoS2, (c)双层MoS2和(d)单层MoS2的能带结构. 实心箭头表示最低能量跃迁. 体和多层MoS2具有间接带隙特性. 对于单层MoS2, 它变为直接带隙半导体[42]
Figure 5. Calculated band structures of (a) bulk MoS2, (b) quadrilayer MoS2, (c) bilayer MoS2, and (d) monolayer MoS2. The solid arrows indicate the lowest energy transitions. Bulk MoS2 is characterized by an indirect bandgap. For monolayer MoS2, it becomes a direct bandgap semiconductor[42].
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[1] Urbaszek B, Marie X 2015 Nature Phys. 11 94Google Scholar
[2] Amet F, Finkelstein G 2015 Nature Phys. 11 989Google Scholar
[3] Li X, Moody G 2017 Nature Phys. 13 9Google Scholar
[4] Yu H, Yao W 2017 Nat. Mater. 16 876Google Scholar
[5] Zhang F 2018 Nature Phys. 14 111Google Scholar
[6] Xiao D, Yao W, Niu Q 2007 Phys. Rev. Lett. 99 236809Google Scholar
[7] Yao W, Xiao D, Niu Q 2008 Phys. Rev. B 77 235406Google Scholar
[8] Xiao D, Liu G B, Feng W, Xu X, Yao W 2012 Phys. Rev. Lett. 108 196802Google Scholar
[9] Xie L, Cui X D 2016 P. Natl. Acad. Sci. 113 3746Google Scholar
[10] Ye Y, Xiao J, Wang H, Ye Z, Zhu H, Zhao M, Wang Y, Zhao J, Yin X, Zhang X 2016 Nat. Nanotech. 11 598Google Scholar
[11] Vitale S A, Nezich D, Varghese J O, Kim P, Gedik N, Jarillo-Herrero P, Xiao D, Rothschild M 2018 Small 14 1801483Google Scholar
[12] Schaibley J R, Yu H, Clark G, Rivera P, Ross J S, Seyler K L, Yao W, Xu X 2016 Nat. Rev. Mater. 1 16055Google Scholar
[13] Sham L J, Allen S J Jr, Kamgar A, Tsui D C 1978 Phys. Rev. Lett. 40 472Google Scholar
[14] Ohkawa F J, Uemura Y 1977 J. Phys. Soc. Jpn. 43 907Google Scholar
[15] Shkolnikov Y P, De Poortere E P, Tutuc E, Shayegan M 2002 Phys. Rev. Lett. 89 226805Google Scholar
[16] Gunawan O, Shkolnikov Y P, Vakili K, Gokmen T, De Poortere E P, Shayegan M 2006 Phys. Rev. Lett. 97 186404Google Scholar
[17] Koiller B, Hu X, Das Sarma S 2002 Phys. Rev. Lett. 88 027903
[18] Goswami S, Slinker K A, Friesen M, McGuire L M, Truitt J L, Tahan C, Klein L J, Chu J O, Mooney P M, van der Weide D W, Joynt R, Coppersmith S N, Eriksson M A 2007 Nature Phys. 3 41Google Scholar
[19] Isberg, J, Gabrysch M, Hammersberg J, Majdi S, Kovi K K, Twitchen D J 2013 Nat. Mater. 12 760Google Scholar
[20] Zhu Z, Collaudin A, Fauqué B, Kang W, Behnia K 2012 Nature Phys. 8 89Google Scholar
[21] Xiao D, Chang M C, Niu Q 2010 Reviews of Modern Physics 82 1959Google Scholar
[22] Mak K F, McGill K L, Park J, McEuen P L 2014 Science 344 1489Google Scholar
[23] Lee J, Mak K F, Shan J 2016 Nat. Nanotech. 11 421Google Scholar
[24] Ubrig N, Jo S, Philippi M, Costanzo D, Berger H, Kuzmenko A B, Morpurgo A F 2017 Nano Lett. 17 5719Google Scholar
[25] Barré E, Incorvia J A C, Kim S H, McClellan C J, Pop E, Wong H-S P, Heinz T F 2019 Nano Lett. 19 770Google Scholar
[26] Hung T Y T, Camsari K Y, Zhang S, Upadhyaya P, Chen Z 2019 Sci. Adv. 5 6478Google Scholar
[27] Wu Z, Zhou B T, Cai X, Cheung P, Liu G B, Huang M, Lin J, Han T, An L, Wang Y, Xu S, Long G, Cheng C, Law K T, Zhang F, Wang N 2019 Nat. Commun. 10 611Google Scholar
[28] Cao T, Wang G, Han W, Ye H, Zhu C, Shi J, Niu Q, Tan P, Wang E, Liu B, Feng J 2012 Nat. Commun. 3 887Google Scholar
[29] Mak K F, He K, Shan J, Heinz T F 2012 Nat. Nanotech. 7 494Google Scholar
[30] Zeng H, Dai J, Yao W, Xiao D, Cui X D 2012 Nat. Nanotech. 7 490Google Scholar
[31] Ji Q, Zhang Y, Gao T, Zhang Y, Ma D, Liu M, Chen Y, Qiao X, Tan P H, Kan M 2013 Nano Lett. 13 3870Google Scholar
[32] Song Z, Li Z, Wang H, Bai X, Wang W, Du H, Liu S, Wang C, Han J, Yang Y 2017 Nano Lett. 17 2079Google Scholar
[33] Wan Y, Xiao J, Li J, Fang X, Zhang K, Fu L, Li P, Song Z, Zhang H, Wang Y, Zhao M, Lu J, Tang N, Ran G, Zhang X, Ye Y, Dai L 2018 Adv. Mater. 30 1703888Google Scholar
[34] Glazov M M, Ivchenko E L, Wang G, Amand T, Marie X, Urbaszek B, Liu B L 2015 Phys. Status Solidi B 252 2349Google Scholar
[35] Yang L, Sinitsyn N A, Chen W, Yuan J, Zhang J, Lou J, Crooker S A 2015 Nature Phys. 11 830Google Scholar
[36] Hsu W T, Chen Y L, Chen C H, Liu P S, Hou T H, Li L J, Chang W H 2015 Nat. Commun. 6 8963Google Scholar
[37] Dey P, Yang L, Robert C, Wang G, Urbaszek B, Marie X, Crooker S A 2017 Phys. Rev. Lett. 119 137401Google Scholar
[38] Manzeli S, Ovchinnikov D, Pasquier D, Yazyev O V, Kis A 2017 Nat. Rev. Mater. 2 17033Google Scholar
[39] Radisavljevic B, Radenovic A, Brivio J, Giacometti V, Kis A 2011 Nat. Nanotech. 6 147Google Scholar
[40] Wang Q H, Kalantar-Zadeh K, Kis A, Coleman J N, Strano M S 2012 Nat. Nanotech. 7 699Google Scholar
[41] Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805Google Scholar
[42] Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano Lett. 10 1271Google Scholar
[43] Zhou B T, Yuan N F Q, Jiang H L, Law K T 2016 Phys. Rev. B 93 180501Google Scholar
[44] Sundaram R S, Engel M, Lombardo A, Krupke R, Ferrari A C, Avouris P, Steiner M 2013 Nano Lett. 13 1416Google Scholar
[45] Lopez-Sanchez O, Lembke D, Kayci M, Radenovic A, Kis A 2013 Nat. Nanotech. 8 497Google Scholar
[46] Yun W S, Han S W, Hong S C, Kim I G, Lee J D 2012 Phys. Rev. B 85 033305Google Scholar
[47] Conley H J, Wang B, Ziegler J I, Haglund R F Jr, Pantelides S T, Bolotin K I 2013 Nano Lett. 13 3626Google Scholar
[48] Fu L, Wan Y, Tang N, Ding Y M, Gao J, Yu J, Guan H, Zhang K, Wang W, Zhang C, Shi J J, Wu X, Shi S F, Ge W, Dai L, Shen B 2017 Sci. Adv. 3 e1700162Google Scholar
[49] Fan X, Chang C H, Zheng W T, Kuo J L, Singh D J 2015 J. Phys. Chem. C 119 10189Google Scholar
[50] Gorbachev R V, Song J C W, Yu G L, Kretinin A V, Withers F, Cao Y, Mishchenko A, Grigorieva I V, Novoselov K S, Levitov L S, Geim A K 2014 Science 346 448Google Scholar
[51] Sui M, Chen G, Ma L, Shan W Y, Tian D, Watanabe K, Taniguchi T, Jin X, Yao W, Xiao D, Zhang Y 2015 Nature Phys. 11 1027Google Scholar
[52] Shimazaki Y, Yamamoto M, Borzenets I V, Watanabe K, Taniguchi T, Tarucha S 2015 Nature Phys. 11 1032Google Scholar
[53] Lensky Y D, Song J C W, Samutpraphoot P, Levitov L S 2015 Phys. Rev. Lett. 114 256601Google Scholar
[54] Abanin D A, Shytov A V, Levitov L S, Halperin B I 2009 Phys. Rev. B 79 035304Google Scholar
[55] Liu G B, Shan W Y, Yao Y, Yao W, Xiao D 2013 Phys. Rev. B 88 085433Google Scholar
[56] Kośmider K, González J W, Fernández-Rossier J 2013 Phys. Rev. B 88 245436Google Scholar
[57] Wu S, Ross J S, Liu G B, Aivazian G, Jones A, Fei Z, Zhu W, Xiao D, Yao W, Cobden D, Xu X 2013 Nature Phys. 9 149Google Scholar
[58] Jiang T, Liu H, Huang D, Zhang S, Li Y, Gong X, Shen Y R, Liu W T, Wu S 2014 Nat. Nanotech. 9 825Google Scholar
[59] Kato Y K, Myers R C, Gossard A C, Awschalom D D 2004 Science 306 1910Google Scholar
[60] Sih V, Myers R C, Kato Y K, Lau W H, Gossard A C, Awschalom D D 2005 Nature Phys. 1 31Google Scholar
[61] Gong C, Colombo L, Wallace R M, Cho K 2014 Nano Lett. 14 1714Google Scholar
[62] Bampoulis P, van Bremen R, Yao Q, Poelsema B, Zandvliet H J W, Sotthewes K 2017 ACS Appl. Mater. Interfaces 9 19278Google Scholar
[63] Kim C, Moon I, Lee D, Choi M S, Ahmed F, Nam S, Cho Y, Shin H J, Park S, Yoo W J 2017 ACS Nano 11 1588Google Scholar
[64] Yuan H, Bahramy M S, Morimoto K, Wu S, Nomura K, Yang B J, Shimotani H, Suzuki R, Toh M, Kloc C, Xu X, Arita R, Nagaosa N, Iwasa Y 2013 Nature Phys. 9 563Google Scholar
[65] Lyanda-Geller Y B, Li S, Andreev A V 2015 Phys. Rev. B 92 241406Google Scholar
[66] Eginligil M, Cao B, Wang Z, Shen X, Cong C, Shang J, Soci C, Yu T 2015 Nat. Commun. 6 7636Google Scholar
[67] Yuan H, Wang X, Lian B, Zhang H, Fang X, Shen B, Xu G, Xu Y, Zhang S C, Hwang H Y, Cui Y 2014 Nat. Nanotechnol. 9 851Google Scholar
[68] Guan H, Tang N, Xu X, Shang L, Huang W, Fu L, Fang X, Yu J, Zhang C, Zhang X, Dai L, Chen Y, Ge W, Shen B 2017 Phys. Rev. B 96 241304Google Scholar
[69] Suzuki R, Sakano M, Zhang Y, Akashi R, Morikawa D, Harasawa A, Yaji K, Kuroda K, Miyamoto K, Okuda T, Ishizaka K, Arita R, Iwasa Y 2014 Nat. Nanotech. 9 611Google Scholar
[70] Guan H, Tang N, Huang H, Zhang X, Su M, Liu X, Liao L, Ge W, Shen B 2019 ACS Nano 13 9325Google Scholar
[71] Sanchez O L, Ovchinnikov D, Misra S, Allain A, Kis A 2016 Nano Lett. 16 5792Google Scholar
[72] Li Y, Ludwig J, Low T, Chernikov A, Cui X, Arefe G, Kim Y D, van der Zande A M, Rigosi A, Hill H M, Kim S H, Hone J, Li Z, Smirnov D, Heinz T F 2014 Phys. Rev. Lett. 113 266804Google Scholar
[73] Srivastava A, Sidler M, Allain A V, Lembke D S, Kis A, Imamoğlu A 2015 Nature Phys. 11 141Google Scholar
[74] Qi J, Li X, Niu Q, Feng J 2015 Phys. Rev. B 92 121403Google Scholar
[75] Xu L, Yang M, Shen L, Zhou J, Zhu T, Feng Y P 2018 Phys. Rev. B 97 041405Google Scholar
[76] Zollner K, Junior P E F, Fabian J 2020 Phys. Rev. B 101 085112Google Scholar
[77] Mao X, Liu Z, Li J, Li C, Teng S, Liu Y, Xu X 2020 Journal of Magnetism and Magnetic Materials 512 167061Google Scholar
[78] Zhao C, Norden T, Zhang P, Zhao P, Cheng Y, Sun F, Parry J P, Taheri P, Wang J, Yang Y, Scrace T, Kang K, Yang S, Miao G X, Sabirianov R, Kioseoglou G, Huang W, Petrou A, Zeng H 2017 Nat. Nanotech. 12 757Google Scholar
[79] Zhang Q Y, Yang S Y A, Mi W B, Cheng Y C, Schwingenschlogl U 2016 Adv. Mater. 28 959Google Scholar
[80] Norden T, Zhao C, Zhang P, Sabirianov R, Petrou A, Zeng H 2019 Nat. Commun. 10 4163Google Scholar
[81] Huang B, Clark G, Klein D R, MacNeill D, Navarro-Moratalla E, Seyler K L, Wilson N, McGuire M A, Cobden D H, Xiao D, Yao W, Jarillo-Herrero P, Xu X 2018 Nat. Nanotech. 13 544Google Scholar
[82] Lin G T, Zhuang H L, Luo X, Liu B J, Chen F C, Yan J, Sun Y, Zhou J, Lu W J, Tong P T, Sheng Z G, Qu Z, Song W H, Zhu X B, Sun Y P 2017 Phys. Rev. B 95 245212Google Scholar
[83] Deng Y, Yu Y, Song Y, Zhang J, Wang N Z, Sun Z, Yi Y, Wu Y Z, Wu S, Zhu J, Wang J, Chen X H, Zhang Y 2018 Nature 563 94Google Scholar
[84] Seyler K L, Zhong D, Huang B, Linpeng X, Wilson N P, Taniguchi T, Watanabe K, Yao W, Xiao D, McGuire M A, Fu K M, Xu X 2018 Nano Lett. 18 3823Google Scholar
[85] Ke C, Wu Y, Guo G Y, Lin W, Wu Z, Zhou C, Kang J 2018 Phys. Rev. Appl. 9 044029Google Scholar
[86] Hu T, Zhao G, Gao H, Wu Y, Hong J, Stroppa A, Ren W 2020 Phys. Rev. B 101 125401Google Scholar
[87] Zollner K, Junior P E F, Fabian J 2019 Phys. Rev. B 100 085128Google Scholar
[88] Peng B, Li Q, Liang X, Song P, Li J, He K, Fu D, Li Y, Shen C, Wang H, Wang C, Liu T, Zhang L, Lu H, Wang X, Zhao J, Xie J, Wu M, Bi L, Deng L, Loh K P 2017 ACS Nano 11 12257Google Scholar
[89] Ke C, Wu Y, Yang W, Wu Z, Zhang C, Li X, Kang J 2019 Phys. Rev. B 100 195435Google Scholar
[90] Ramasubramaniam A, Naveh D 2013 Phys. Rev. B 87 195201Google Scholar
[91] Yin M Y, Wang X C, Mi W B, Yang B H 2015 Computational Materials Science 99 326Google Scholar
[92] Zhou J, Lin J, Sims H, Jiang C, Cong C, Brehm J A, Zhang Z, Niu L, Chen Y, Zhou Y, Wang Y, Liu F, Zhu C, Yu T, Suenaga K, Mishra R, Pantelides S T, Zhu Z G, Gao W, Liu Z, Zhou W 2020 Adv. Mater. 32 1906536Google Scholar
[93] Li Q, Zhao X, Deng L, Shi Z, Liu S, Wei Q, Zhang L, Cheng Y, Zhang L, Lu H, Gao W, Huang W, Qiu C W, Xiang G, Pennycook S J, Xiong Q, Loh K P, Peng B 2020 ACS Nano 14 4636Google Scholar
[94] Liu J, Hou W J, Cheng C, Fu H X, Sun J T, Meng S 2017 J. Phys.: Condens. Matter 29 255501Google Scholar
[95] Wang Y, Deng L, Wei Q, Wan Y, Liu Z, Lu X, Li Y, Bi L, Zhang L, Lu H, Chen H, Zhou P, Zhang L, Cheng Y, Zhao X, Ye Y, Huang W, Pennycook S J, Loh K P, Peng B 2020 Nano Lett. 20 2129Google Scholar
[96] Wu G Y, Lue N Y, Chen Y C 2013 Phys. Rev. B 88 125422Google Scholar
[97] Rycerz A, Tworzydło J, Beenakker C W J 2007 Nature Phys. 3 172Google Scholar
[98] Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, von Molnár S, Roukes M L, Chtchelkanova A Y, Treger D M 2001 Science 294 1488Google Scholar
[99] Lee M K, Lue N Y, Wen C K, Wu G Y 2012 Phys. Rev. B 86 165411Google Scholar
[100] Datta S, Das B 1990 Appl. Phys. Lett. 56 665Google Scholar
[101] Wu G Y, Lue N Y, Chang L 2011 Phys. Rev. B 84 195463Google Scholar
[102] Wu G Y, Lue N Y 2012 Phys. Rev. B 86 045456Google Scholar
[103] Yu H, Wu Y, Liu G B, Xu X, Yao W 2014 Phys. Rev. Lett. 113 156603Google Scholar
[104] Zhang Y J, Oka T, Suzuki R, Ye J T, Iwasa Y 2014 Science 344 725Google Scholar
[105] Yang W, Shang J, Wang J, Shen X, Cao B, Peimyoo N, Zou C, Chen Y, Wang Y, Cong C, Huang W, Yu T 2016 Nano Lett. 16 1560Google Scholar
[106] Scrace T, Tsai Y, Barman B, Schweidenback L, Petrou A, Kioseoglou G, Ozfidan I, Korkusinski M, Hawrylak P 2015 Nat. Nanotech. 10 603Google Scholar
[107] Onga M, Zhang Y, Suzuki R, Iwasa Y 2016 Appl. Phys. Lett. 108 073107Google Scholar
[108] Jones A M, Yu H, Ghimire N J, Wu S, Aivazian G, Ross J S, Zhao B, Yan J, Mandrus D G, Xiao D, Yao W, Xu X 2013 Nat. Nanotech. 8 634Google Scholar
[109] Ye Z, Sun D, Heinz T F 2017 Nat. Phys. 13 26Google Scholar
[110] Wang G, Marie X, Liu B, Amand T, Robert C, Cadiz F, Renucci P, Urbaszek B 2016 Phys. Rev. Lett. 117 187401Google Scholar
[111] Yu H, Liu G B, Gong P, Xu X, Yao W 2014 Nat. Commun. 5 3876Google Scholar
[112] Kim J, Jin C, Chen B, Cai H, Zhao T, Lee P, Kahn S, Watanabe K, Taniguchi T, Tongay S, Crommie M F, Wang F 2017 Sci. Adv. 3 e1700518Google Scholar
[113] Rivera P, Seyler K L, Yu H, Schaibley J R, Yan J, Mandrus D G, Yao W, Xu X 2016 Science 351 688Google Scholar
[114] Rivera P, Yu H, Seyler K L, Wilson N P, Yao W, Xu X 2018 Nat. Nanotechnol. 13 1004Google Scholar
[115] Unuchek D, Ciarrocchi A, Avsar A, Sun Z, Watanabe K, Taniguchi T, Kis A 2019 Nat. Nanotech. 14 1104Google Scholar
[116] Gong S H, Komen I, Alpeggiani F, Kuipers L 2020 Nano Lett. 20 4410Google Scholar
[117] Li L, Shao L, Liu X, Gao A, Wang H, Zheng B, Hou G, Shehzad K, Yu L, Miao F, Shi Y, Xu Y, Wang X 2020 Nat. Nanotech. 15 743Google Scholar
[118] Fang Y, Verre R, Shao L, Nordlander P, Käll M 2016 Nano Lett. 16 5183Google Scholar
[119] Tao L L, Tsymbal E Y 2019 Phys. Rev. B 100 161110Google Scholar
[120] Tao L L, Naeemi A, Tsymbal E Y 2020 Phys. Rev. Appl. 13 054043Google Scholar
[121] Avsar A, Unuchek D, Liu J, Sanchez O L, Watanabe K, Taniguchi T, Özyilmaz B, Kis A 2017 ACS Nano 11 11678Google Scholar
[122] Luo Y K, Xu J, Zhu T, Wu G, McCormick E J, Zhan W, Neupane M R, Kawakami R K 2017 Nano Lett. 17 3877Google Scholar
[123] Ominato Y, Fujimoto J, Matsuo M 2020 Phys. Rev. Lett. 124 166803Google Scholar
[124] Yu Z M, Guan S, Sheng X L, Gao W, Yang S A 2020 Phys. Rev. Lett. 124 037701Google Scholar
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