Symmetry Protected Weak Topological Phases in a Superlattice

被引：14

作者：

Fukui, Takahiro ^{[1
]}

Imura, Ken-Ichiro ^{[2
]}

Hatsugai, Yasuhiro ^{[3
]}

机构：

[1] Ibaraki Univ, Dept Phys, Mito, Ibaraki 3108512, Japan

[2] Hiroshima Univ, Dept Quantum Matter, AdSM, Higashihiroshima, Hiroshima 7398530, Japan

[3] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2013年 / 82卷 / 07期

关键词：

topological insulator; superlattice; Chern number; weak topological phase; Wilson-Dirac model; INSULATORS; CLASSIFICATION; STATES;

D O I：

10.7566/JPSJ.82.073708

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explore novel topological phases realized in a superlattice system based on the Wilson-Dirac model. Our main focus is on a two-dimensional analogue of weak topological insulator phases. We find such phases as those characterized by gapless edge states that are protected by symmetry but sensitive to the orientation of the edge relative to the superlattice structure. We show that manifest and hidden reflection symmetries protect such weak topological phases, and propose bulk Z(2) indices responsible for the topological protection of the edge states.

引用

页数：5

共 39 条

[1] Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures [J].

Altland, A ;

Zirnbauer, MR .

PHYSICAL REVIEW B, 1997, 55 (02) :1142-1161

[2] 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

[3] Classification of gapped symmetric phases in one-dimensional spin systems [J].

Chen, Xie ;

Gu, Zheng-Cheng ;

Wen, Xiao-Gang .

PHYSICAL REVIEW B, 2011, 83 (03)

[4]

Chiu C.-K., ARXIV13031843

[5] Bulk-boundary correspondence of topological insulators from their respective Green's functions [J].

Essin, Andrew M. ;

Gurarie, Victor .

PHYSICAL REVIEW B, 2011, 84 (12)

[6] Topological phases of fermions in one dimension [J].

Fidkowski, Lukasz ;

Kitaev, Alexei .

PHYSICAL REVIEW B, 2011, 83 (07)

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

Fu, Liang ;

Kane, C. L. ;

Mele, E. J. .

PHYSICAL REVIEW LETTERS, 2007, 98 (10)

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

Fu, Liang ;

Kane, C. L. .

PHYSICAL REVIEW B, 2007, 76 (04)

[9] Topological Crystalline Insulators [J].

Fu, Liang .

PHYSICAL REVIEW LETTERS, 2011, 106 (10)

[10] Time reversal polarization and a Z2 adiabatic spin pump [J].

Fu, Liang ;

Kane, C. L. .

PHYSICAL REVIEW B, 2006, 74 (19)

← 1 2 3 4 →