(d-2)-Dimensional Edge States of Rotation Symmetry Protected Topological States

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 (d-2)-dimensional edge states, existing at a point in 2D or along a line in 3D. For fe...

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Bibliographic Details
Published in:Physical review letters 2017-12, Vol.119 (24), p.246402-246402, Article 246402
Main Authors: Song, Zhida, Fang, Zhong, Fang, Chen
Format: Article
Language:English
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Summary: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 (d-2)-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 (d-2)-dimensional edge states.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.119.246402