Topological invariant in three-dimensional band insulators with disorder

被引：30

作者：

Guo, H. -M. ^{[1
,2
]}

机构：

[1] Capital Normal Univ, Dept Phys, Beijing 100048, Peoples R China

[2] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada

来源：

PHYSICAL REVIEW B | 2010年 / 82卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

QUANTIZED HALL CONDUCTANCE; SINGLE DIRAC CONE; MATRICES; SURFACE; BI2TE3;

D O I：

10.1103/PhysRevB.82.115122

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Topological insulators in three dimensions are characterized by a Z(2)-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the topological invariant in disordered three-dimensional system by viewing it as a supercell of an infinite periodic system. As an application of this method we show that the strong index becomes nontrivial when strong enough disorder is introduced into a trivial insulator with spin-orbit coupling, realizing a strong topological Anderson insulator. We also numerically extract the gap range and determine the phase boundaries of this topological phase, which fits well with those obtained from self-consistent Born approximation and the transport calculations.

引用

页数：5

共 25 条

[1] QUANTIZATION OF THE HALL CONDUCTANCE FOR GENERAL, MULTIPARTICLE SCHRODINGER HAMILTONIANS [J].

AVRON, JE ;

SEILER, R .

PHYSICAL REVIEW LETTERS, 1985, 54 (04) :259-262

[2] Random matrix model for superconductors in a magnetic field [J].

Bahcall, SR .

PHYSICAL REVIEW LETTERS, 1996, 77 (26) :5276-5279

[3] 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

[4] RANDOM MATRICES, FRACTIONAL STATISTICS, AND THE QUANTUM HALL-EFFECT [J].

CALLAWAY, DJE .

PHYSICAL REVIEW B, 1991, 43 (10) :8641-8643

[5] 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

[6] Topological insulators beyond the Brillouin zone via Chern parity [J].

Essin, Andrew M. ;

Moore, J. E. .

PHYSICAL REVIEW B, 2007, 76 (16)

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

Fu, Liang ;

Kane, C. L. .

PHYSICAL REVIEW B, 2007, 76 (04)

[8] Theory of the Topological Anderson Insulator [J].

Groth, C. W. ;

Wimmer, M. ;

Akhmerov, A. R. ;

Tworzydlo, J. ;

Beenakker, C. W. J. .

PHYSICAL REVIEW LETTERS, 2009, 103 (19)

[9] Three-Dimensional Topological Insulators on the Pyrochlore Lattice [J].

Guo, H. -M. ;

Franz, M. .

PHYSICAL REVIEW LETTERS, 2009, 103 (20)

[10]

GUO HM, ARXIV10062777

← 1 2 3 →