Half quantum spin Hall effect on the surface of weak topological insulators

被引：48

作者：

Liu, Chao-Xing ^{[2
,3
]}

Qi, Xiao-Liang ^{[1
]}

Zhang, Shou-Cheng ^{[1
]}

机构：

[1] Stanford Univ, Dept Phys, Stanford, CA 94305 USA

[2] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany

[3] Univ Wurzburg, Phys Inst EP3, D-97074 Wurzburg, Germany

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2012年 / 44卷 / 05期

关键词：

SINGLE DIRAC CONE; BI2TE3; WELLS; PHASE;

D O I：

10.1016/j.physe.2011.11.005

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

We investigate interaction effects in three dimensional weak topological insulators (TI) with an even number of Dirac cones on the surface. We find that the surface states can be gapped by a surface charge density wave (CDW) order without breaking the time-reversal symmetry. In this sense, time-reversal symmetry alone cannot robustly protect the weak TI state in the presence of interactions. If the translational symmetry is additionally imposed in the bulk, a topologically non-trivial weak TI state can be obtained with helical edge states on the CDW domain walls. In other words, a CDW domain wall on the surface is topologically equivalent to the edge of a two-dimensional quantum spin Hall insulator. Therefore, the surface state of a weak topological insulator with translation symmetry breaking on the surface has a "half quantum spin Hall effect", in the same way that the surface state of a strong topological insulator with time-reversal symmetry breaking on the surface has a "half quantum Hall effect". The on-site and nearest neighbor interactions are investigated in the mean field level and the phase diagram for the surface states of weak topological insulators is obtained. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：906 / 911

页数：6

共 28 条

[1] Quantum spin Hall effect and topological phase transition in HgTe quantum wells [J].

Bernevig, B. Andrei ;

Hughes, Taylor L. ;

Zhang, Shou-Cheng .

SCIENCE, 2006, 314 (5806) :1757-1761

[2] Single Dirac Cone Topological Surface State and Unusual Thermoelectric Property of Compounds from a New Topological Insulator Family [J].

Chen, Y. L. ;

Liu, Z. K. ;

Analytis, J. G. ;

Chu, J. -H. ;

Zhang, H. J. ;

Yan, B. H. ;

Mo, S. -K. ;

Moore, R. G. ;

Lu, D. H. ;

Fisher, I. R. ;

Zhang, S. C. ;

Hussain, Z. ;

Shen, Z. -X. .

PHYSICAL REVIEW LETTERS, 2010, 105 (26)

[3] Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3 [J].

Chen, Y. L. ;

Analytis, J. G. ;

Chu, J. -H. ;

Liu, Z. K. ;

Mo, S. -K. ;

Qi, X. L. ;

Zhang, H. J. ;

Lu, D. H. ;

Dai, X. ;

Fang, Z. ;

Zhang, S. C. ;

Fisher, I. R. ;

Hussain, Z. ;

Shen, Z. -X. .

SCIENCE, 2009, 325 (5937) :178-181

[4] Helical edge and surface states in HgTe quantum wells and bulk insulators [J].

Dai, Xi ;

Hughes, Taylor L. ;

Qi, Xiao-Liang ;

Fang, Zhong ;

Zhang, Shou-Cheng .

PHYSICAL REVIEW B, 2008, 77 (12)

[5] Topological insulators in three dimensions [J].

Fu, Liang ;

Kane, C. L. ;

Mele, E. J. .

PHYSICAL REVIEW LETTERS, 2007, 98 (10)

[6] Topological insulators with inversion symmetry [J].

Fu, Liang ;

Kane, C. L. .

PHYSICAL REVIEW B, 2007, 76 (04)

[7] Quantum spin Hall effect induced by nonmagnetic and magnetic staggered potentials [J].

Guo, Huaiming ;

Feng, Shiping ;

Shen, Shun-Qing .

PHYSICAL REVIEW B, 2011, 83 (04)

[8] Colloquium: Topological insulators [J].

Hasan, M. Z. ;

Kane, C. L. .

REVIEWS OF MODERN PHYSICS, 2010, 82 (04) :3045-3067

[9] Three-dimensional topological insulators in the octahedron-decorated cubic lattice [J].

Hou, Jing-Min ;

Zhang, Wen-Xin ;

Wang, Guo-Xiang .

PHYSICAL REVIEW B, 2011, 84 (07)

[10] A topological Dirac insulator in a quantum spin Hall phase [J].

Hsieh, D. ;

Qian, D. ;

Wray, L. ;

Xia, Y. ;

Hor, Y. S. ;

Cava, R. J. ;

Hasan, M. Z. .

NATURE, 2008, 452 (7190) :970-U5

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