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(d2)-Dimensional Edge States of Rotation Symmetry Protected Topological States

Zhida Song, Zhong Fang, and Chen Fang
Phys. Rev. Lett. 119, 246402 – Published 11 December 2017
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Abstract

We study fourfold rotation-invariant gapped topological systems with time-reversal symmetry in two and three dimensions (d=2, 3). We show that in both cases nontrivial topology is manifested by the presence of the (d2)-dimensional edge states, existing at a point in 2D or along a line in 3D. For fermion systems without interaction, the bulk topological invariants are given in terms of the Wannier centers of filled bands and can be readily calculated using a Fu-Kane-like formula when inversion symmetry is also present. The theory is extended to strongly interacting systems through the explicit construction of microscopic models having robust (d2)-dimensional edge states.

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  • Received 14 August 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.246402

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

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Topological Insulators Turn a Corner

Published 11 December 2017

Theorists have discovered topological insulators that are insulating in their interior and on their surfaces but have conducting channels at corners or along edges.

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Authors & Affiliations

Zhida Song1,2, Zhong Fang1,3, and Chen Fang1,*

  • 1Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Collaborative Innovation Center of Quantum Matter, Beijing 100084, China

  • *cfang@iphy.ac.cn

See Also

Reflection-Symmetric Second-Order Topological Insulators and Superconductors

Josias Langbehn, Yang Peng, Luka Trifunovic, Felix von Oppen, and Piet W. Brouwer
Phys. Rev. Lett. 119, 246401 (2017)

Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

Wladimir A. Benalcazar, B. Andrei Bernevig, and Taylor L. Hughes
Phys. Rev. B 96, 245115 (2017)

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Vol. 119, Iss. 24 — 15 December 2017

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