論文

2020年11月

Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice

PHYSICAL REVIEW B
  • Heejae Kim
  • ,
  • Shuichi Murakami

102
19
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevB.102.195202
出版者・発行元
AMER PHYSICAL SOC

We study the topological crystalline insulator phase protected by the glide symmetry, which is characterized by the Z(2) topological number. In the present paper, we derive a formula for the Z(2) topological invariant protected by glide symmetry in a nonprimitive lattice from that in a primitive lattice. We establish a formula for the glide-Z(2) invariant for the space group No. 9 with glide symmetry in the base-centered lattice by folding the Brillouin zone into that of the primitive lattice where the formula for the glide-Z(2) invariant is known. The formula is written in terms of integrals of the Berry curvatures and Berry phases in the k space. We also derive a formula of the glide-Z(2) invariant when the inversion symmetry is added, and the space group becomes 15. This reduces the formula into the Fu-Kane-like formula, expressed in terms of the irreducible representations at high-symmetry points in k space. We also construct these topological invariants by the layer-construction approach, and the results completely agree with those from the k-space approach.

リンク情報
DOI
https://doi.org/10.1103/PhysRevB.102.195202
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000588579500003&DestApp=WOS_CPL
ID情報
  • DOI : 10.1103/PhysRevB.102.195202
  • ISSN : 2469-9950
  • eISSN : 2469-9969
  • Web of Science ID : WOS:000588579500003

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