Special Issue:
TOPICAL REVIEW — Topological insulator
|
TOPICAL REVIEW—Topological insulator |
Prev
Next
|
|
|
From magnetically doped topological insulator to the quantum anomalous Hall effect |
He Ke (何珂)a, Ma Xu-Cun (马旭村)a, Chen Xi (陈曦)b, Lü Li(吕力)a, Wang Ya-Yu (王亚愚)b, Xue Qi-Kun (薛其坤)b |
a Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China |
|
|
Abstract Quantum Hall effect (QHE), as a class of quantum phenomena that occur in macroscopic scale, is one of the most important topics in condensed matter physics. It has long been expected that QHE may occur without Landau levels so that neither external magnetic field nor high sample mobility is required for its study and application. Such a QHE free of Landau levels, can appear in topological insulators (TIs) with ferromagnetism as the quantized version of the anomalous Hall effect, i.e., quantum anomalous Hall (QAH) effect. Here we review our recent work on experimental realization of the QAH effect in magnetically doped TIs. With molecular beam epitaxy, we prepare thin films of Cr-doped (Bi,Sb)2Te3 TIs with wellcontrolled chemical potential and long-range ferromagnetic order that can survive the insulating phase. In such thin films, we eventually observed the quantization of the Hall resistance at h/e2 at zero field, accompanied by a considerable drop in the longitudinal resistance. Under a strong magnetic field, the longitudinal resistance vanishes, whereas the Hall resistance remains at the quantized value. The realization of the QAH effect provides a foundation for many other novel quantum phenomena predicted in TIs, and opens a route to practical applications of quantum Hall physics in low-power-consumption electronics.
|
Received: 16 May 2013
Accepted manuscript online:
|
PACS:
|
73.21.Fg
|
(Quantum wells)
|
|
73.43.-f
|
(Quantum Hall effects)
|
|
75.50.Pp
|
(Magnetic semiconductors)
|
|
75.70.-i
|
(Magnetic properties of thin films, surfaces, and interfaces)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174343 and 11134008), the National Basic Research Program of China (Grant Nos. 2013CB921702 and 2009CB929400), and the Knowledge Innovation Program of the Chinese Academy of Sciences. |
Corresponding Authors:
Wang Ya-Yu, Xue Qi-Kun
E-mail: kehe@iphy.ac.cn; yayuwang@mail.tsinghua.edu.cn; qkxue@mail.tsinghua.edu.cn
|
Cite this article:
He Ke (何珂), Ma Xu-Cun (马旭村), Chen Xi (陈曦), Lü Li (吕力), Wang Ya-Yu (王亚愚), Xue Qi-Kun (薛其坤) From magnetically doped topological insulator to the quantum anomalous Hall effect 2013 Chin. Phys. B 22 067305
|
[1] |
Dirac P A M 1947 The Principles of Quantum Mechanics, 3rd edn.(Oxford: Oxford University Press, USA)
|
[2] |
Klitzing K V, Dorda G and Peper M 1980 Phys. Rev. Lett. 45 494
|
[3] |
Tsui D C, Stormer H L and Gossard A C 1982 Phys. Rev. Lett. 48 1559
|
[4] |
Hall E H 1879 Am. J. Math. 2 287
|
[5] |
Laughlin R B 1981 Phys. Rev. B 23 5632
|
[6] |
Thouless D J, Kohmoto M, Nightingale M P and Nijs M D 1982 Phys.Rev. Lett. 49 405
|
[7] |
Avron J E, Osadchy D and Seiler R, 2003 Phys. Today 56 38
|
[8] |
Haldane F D M 1988 Phys. Rev. Lett. 61 2015
|
[9] |
Hall E H 1881 Philo. Mag. 12 157
|
[10] |
Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010Rev. Mod. Phys. 82 1539
|
[11] |
Onoda M and Nagaosa N 2003 Phys. Rev. Lett. 90 206601
|
[12] |
Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
|
[13] |
Bernevig B A and Zhang S C 2006 Phys. Rev. Lett. 96 106802
|
[14] |
Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
|
[15] |
Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
|
[16] |
Bernevig B A, Hughes T L and Zhang S C 2006 Science 314 1757
|
[17] |
König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp LW, Qi X L and Zhang S C 2007 Science 318 766
|
[18] |
Liu C X, Hughes T L, Qi X L,Wang K and Zhang S C 2008 Phys. Rev.Lett. 100 236601
|
[19] |
Knez I, Du R R and Sullivan G 2011 Phys. Rev. Lett. 107 136603
|
[20] |
Fu L, Kane C L and Mele E J 2007 Phys. Rev. Lett. 98 106803
|
[21] |
Fu L and Kane C L 2007 Phys. Rev. B 76 045302
|
[22] |
Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J and Hasan M Z2008 Nature 452 970
|
[23] |
Hsieh D, Xia Y, Wray L, Qian D, Pal A, Dil J H, Osterwalder J, MeierF, Bihlmayer G, Kane C L, Hor Y S, Cava R J and Hasan M Z 2009Science 323 919
|
[24] |
Zhang H J, Liu C X, Qi X L, Dai X, Fang Z and Zhang S C 2009 Nat.Phys. 5 438
|
[25] |
Xia Y, Qian D, Hsieh D, Wray L, Pal A, Lin H, Bansil A, Grauer D,Hor Y S, Cava R J and Hasan M Z 2009 Nat. Phys. 5 398
|
[26] |
Chen Y L, Analytis J G, Chu J H, Liu Z K, Mo S K, Qi X L, Zhang HJ, Lu D H, Dai X, Fang Z, Zhang S C, Fisher I R, Hussain Z and ShenZ X 2009 Science 325 178
|
[27] |
Hsieh D, Xia Y, Qian D, Wray L, Dil J H, Meier F, Osterwalder J,Patthey L, Checkelsky J G, Ong N P, Fedorov A V, Lin H, Bansil A,Grauer D, Hor Y S, Cava R J and Hasan M Z 2009 Nature 460 1101
|
[28] |
Qi X L, Wu Y S and Zhang S C 2006 Phys. Rev. B 74 085308
|
[29] |
Liu C X, Qi X L, Dai X, Fang Z and Zhang S C 2008 Phys. Rev. Lett.101 146802
|
[30] |
Qi X L, Hughes T L and Zhang S C 2008 Phys. Rev. B 78 195424
|
[31] |
Yu R, ZhangW, Zhang H J, Zhang S C, Dai X and Fang Z 2010 Science329 61
|
[32] |
Nomura K and Nagaosa N 2011 Phys. Rev. Lett. 106 166802
|
[33] |
Li Y Y, Wang G, Zhu X G, Liu M H, Ye C, Chen X, Wang Y, He K,Wang L L, Ma X C, Zhang H J, Dai X, Fang Z, Xie X C, Liu Y, Qi XL, Jia J F, Zhang S C and Xue Q K 2010 Adv. Mater. 22 4002
|
[34] |
Song C L, Wang Y L, Jiang Y P, Zhang Y, C. Chang C Z, Wang L, HeK, Chen X, Jia J F, Wang Y, Fang Z, Dai X, Xie X C, Qi X L, Zhang SC, Xue Q K and Ma X 2010 Appl. Phys. Lett. 97 143118
|
[35] |
Zhang Y, He K, Chang C Z, Song C L,Wang L L, Chen X, Jia J F, FangZ, Dai X, Shan W Y, Shen S Q, Niu Q, Qi X L, Zhang S C, Ma X C,Xue Q K 2010 Nat. Phys. 6 584
|
[36] |
Wang G, Zhu X, Wen J, Chen X, He K, Wang L L, Ma X C, Liu Y, DaiX, Fang Z, Jia J F and Xue Q K 2010 Nano Res. 3 874
|
[37] |
Dietl T, Ohno H, Matsukura F, Cibert J and Ferrand D, 2000 Science287 1019
|
[38] |
Ohno H 1998 Science 281 951
|
[39] |
Zhang J, Chang C Z, Tang P, Zhang Z, Feng X, Li K, Wang L L, ChenX, Liu C X, Duan W, He K, Xue Q K, Ma X C and Wang Y 2013Science 339 1582
|
[40] |
Chang C Z, Zhang J, Liu M, Zhang Z, Feng X, Li K, Wang L L, ChenX, Dai X, Fang Z, Qi X L, Zhang S C,Wang Y, He K, Ma X C and XueQ K 2013 Adv. Mater. 25 1065
|
[41] |
Chien Y J 2007 Ph. D. thesis of the University of Michigan, USA(http://deepblue.lib.umich.edu/handle/2027.42/57593)
|
[42] |
Hor Y S, Roushan P, Beidenkopf H, Seo J, Qu D, Checkelsky J G, WrayL A, Hsieh D, Xia Y, Xu S Y, Qian D, Hasan M Z, Ong N P, YazdaniA and Cava R J 2010 Phys. Rev. B 81 195203
|
[43] |
Wang G, Zhu X G, Sun Y Y, Li Y Y, Zhang T, Wen J, Chen X, He K,Wang L L, Ma X C, Jia J F, Zhang S B and Xue Q K 2011 Adv Mater.23 2929
|
[44] |
Jiang Y P, Sun Y Y, Chen M, Wang Y L, Li Z, Song C L, He K, WangL L, Chen X, Xue Q K, Ma X C and Zhang S B 2012 Phys. Rev. Lett.108 066809
|
[45] |
Zhang J, Chang C Z, Zhang Z, Wen J, Feng X, Li K, Liu M, He K,Wang L L, Chen X, Xue Q K, Ma X and Wang Y 2011 Nat. Commun.2 574
|
[46] |
Benia H M, Lin C, Kern K and Ast C R 2011 Phys. Rev. Lett. 107177602
|
[47] |
Chen J, Qin H J, Yang F, Liu J, Guan T, Qu F M, Zhang G H, Shi J R,Xie X C, Yang C L, Wu K H, Li Y Q and Lu L 2010 Phys. Rev. Lett.105 176602
|
[48] |
Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y,Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J F, Dai X, Fang Z,Zhang S C, He K, Wang Y, Lu L, Ma X C and Xue Q K 2013 Science340 167
|
[49] |
Checkelsky J G, Ye J, Onose Y, Iwasa Y and Tokura Y 2012 Nat. Phys.8 729
|
[50] |
Jeckelmann B and Jeanneret B 2001 Rep. Prog. Phys. 64 1603
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|