Dimensional evolution between one- and two-dimensional topological phases

被引：16

作者：

Guo, Huaiming ^{[1
,2
]}

Lin, Yang ^{[1
,2
]}

Shen, Shun-Qing ^{[3
]}

机构：

[1] Beihang Univ, Dept Phys, Beijing 100191, Peoples R China

[2] Beihang Univ, Spintron Interdisciplinary Ctr, Beijing 100191, Peoples R China

[3] Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China

来源：

PHYSICAL REVIEW B | 2014年 / 90卷 / 08期

关键词：

SINGLE DIRAC CONE; INSULATOR; BI2SE3;

D O I：

10.1103/PhysRevB.90.085413

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Dimensional evolution between one- (1D) and two-dimensional (2D) topological phases is investigated systematically. The crossover from a 2D topological insulator to its 1D limit shows oscillating behavior between a 1D ordinary insulator and a 1D topological insulator. By constructing a 2D topological system from a 1D topological insulator, it is shown that there exist possibly weak topological phases in 2D time-reversal invariant band insulators, one of which can be realized in anisotropic systems. The topological invariant of the phase is Z(2) = 0. However, the edge states may appear along specific boundaries. It can be interpreted as arranged 1D topological phases, and have a symmetry-protecting nature as does the corresponding 1D topological phase. Robust edge states can exist under specific conditions. These results provide further understanding of 2D time-reversal invariant insulators, and can be realized experimentally.

引用

页数：7

共 49 条

[1]

Atala M, 2013, NAT PHYS, V9, P795, DOI [10.1038/nphys2790, 10.1038/NPHYS2790]

[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] Spin-Orbit Qubits of Rare-Earth-Metal Ions in Axially Symmetric Crystal Fields (vol 103, 226402, 2009) [J].

Bertaina, S. ;

Shim, J. H. ;

Gambarelli, S. ;

Malkin, B. Z. ;

Barbara, B. .

PHYSICAL REVIEW LETTERS, 2014, 113 (10)

[4] Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator [J].

Chang, Cui-Zu ;

Zhang, Jinsong ;

Feng, Xiao ;

Shen, Jie ;

Zhang, Zuocheng ;

Guo, Minghua ;

Li, Kang ;

Ou, Yunbo ;

Wei, Pang ;

Wang, Li-Li ;

Ji, Zhong-Qing ;

Feng, Yang ;

Ji, Shuaihua ;

Chen, Xi ;

Jia, Jinfeng ;

Dai, Xi ;

Fang, Zhong ;

Zhang, Shou-Cheng ;

He, Ke ;

Wang, Yayu ;

Lu, Li ;

Ma, Xu-Cun ;

Xue, Qi-Kun .

SCIENCE, 2013, 340 (6129) :167-170

[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] Landau Quantization of Topological Surface States in Bi2Se3 [J].

Cheng, Peng ;

Song, Canli ;

Zhang, Tong ;

Zhang, Yanyi ;

Wang, Yilin ;

Jia, Jin-Feng ;

Wang, Jing ;

Wang, Yayu ;

Zhu, Bang-Fen ;

Chen, Xi ;

Ma, Xucun ;

He, Ke ;

Wang, Lili ;

Dai, Xi ;

Fang, Zhong ;

Xie, Xincheng ;

Qi, Xiao-Liang ;

Liu, Chao-Xing ;

Zhang, Shou-Cheng ;

Xue, Qi-Kun .

PHYSICAL REVIEW LETTERS, 2010, 105 (07)

[7] Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures [J].

Das, Tanmoy ;

Balatsky, A. V. .

NATURE COMMUNICATIONS, 2013, 4

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

Fu, Liang ;

Kane, C. L. ;

Mele, E. J. .

PHYSICAL REVIEW LETTERS, 2007, 98 (10)

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

Fu, Liang ;

Kane, C. L. .

PHYSICAL REVIEW B, 2007, 76 (04)

[10] Symmetry Protected Weak Topological Phases in a Superlattice [J].

Fukui, Takahiro ;

Imura, Ken-Ichiro ;

Hatsugai, Yasuhiro .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2013, 82 (07)

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