Local formula for the Z2 invariant of topological insulators

被引:10
|
作者
Li, Zhi [1 ]
Mong, Roger S. K.
机构
[1] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA
关键词
STABLE-HOMOTOPY;
D O I
10.1103/PhysRevB.100.205101
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We proposed a formula for the Z(2) invariant for topological insulators, which remains valid without translational invariance. Our formula is a local expression, in the sense that the contributions mainly come from quantities near a point. Using almost commute matrices, we proposed a method to approximate this invariant with local information. The validity of the formula and the approximation method is proved.
引用
收藏
页数:12
相关论文
共 50 条
  • [21] Z2 antiferromagnetic topological insulators with broken C4 symmetry
    Begue, Frederic
    Pujol, Pierre
    Ramazashvili, Revaz
    PHYSICS LETTERS A, 2017, 381 (14) : 1268 - 1271
  • [22] Z2 fractionalized Chern/topological insulators in an exactly soluble correlated model
    Zhong, Yin
    Wang, Yu-Feng
    Luo, Hong-Gang
    PHYSICAL REVIEW B, 2013, 88 (04)
  • [23] Z2 Photonic Topological Insulators in the Visible Wavelength Range for Robust Nanoscale Photonics
    Liu, Wenjing
    Hwang, Minsoo
    Ji, Zhurun
    Wang, Yuhui
    Modi, Gaurav
    Agarwal, Ritesh
    NANO LETTERS, 2020, 20 (02) : 1329 - 1335
  • [24] Quantum phase transition from Z2 x Z2 to Z2 topological order
    Zarei, Mohammad Hossein
    PHYSICAL REVIEW A, 2016, 93 (04)
  • [25] Relative Abundance of Z2 Topological Order in Exfoliable Two-Dimensional Insulators
    Marrazzo, Antimo
    Gibertini, Marco
    Campi, Davide
    Mounet, Nicolas
    Marzari, Nicola
    NANO LETTERS, 2019, 19 (12) : 8431 - 8440
  • [26] Symmetry-breaking topological insulators in the Z2 Bose-Hubbard model
    Gonzalez-Cuadra, Daniel
    Dauphin, Alexandre
    Grzybowski, Przemyslaw R.
    Wojcik, Pawel
    Lewenstein, Maciej
    Bermudez, Alejandro
    PHYSICAL REVIEW B, 2019, 99 (04)
  • [27] Wannier functions and Z2 invariants in time-reversal symmetric topological insulators
    Cornean, Horia D.
    Monaco, Domenico
    Teufel, Stefan
    REVIEWS IN MATHEMATICAL PHYSICS, 2017, 29 (02)
  • [28] A Z2 invariant for chiral and particle-hole symmetric topological chains
    Monaco, Domenico
    Peluso, Gabriele
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (04)
  • [29] Topological Phases in AB-Stacked MoTe2/WSe2: Z2 Topological Insulators, Chern Insulators, and Topological Charge Density Waves
    Pan, Haining
    Xie, Ming
    Wu, Fengcheng
    Das Sarma, Sankar
    PHYSICAL REVIEW LETTERS, 2022, 129 (05)
  • [30] Designing Z2 and Z2 x Z2 topological orders in networks of Majorana bound states
    Mohammadi, Fatemeh
    Kargarian, Mehdi
    PHYSICAL REVIEW B, 2022, 105 (16)