Quantum Spin Hall Effect in Three Dimensional Materials: Lattice Computation of Z<SUB>2</SUB> Topological Invariants and Its Application to Bi and Sb

• Fukui Takahiro

  Department of Mathematical Sciences, Ibaraki University

• Hatsugai Yasuhiro

  Department of Applied Physics, University of Tokyo

Bibliographic Information

Other Title

• Quantum spin hall effect in three dimensional materials: lattice computation of Z2 topological invariants and its application to Bi and Sb

Abstract

We derive an efficient formula for Z₂ topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which enables us to implement numerical calculations for realistic models even in three dimensions. Based on this, we study the quantum spin Hall effect in Bi and Sb in quasi-two and three dimensions using a tight-binding model.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 76 (5), 053702-053702, 2007

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• Quantum spin Hall effect
• Time reversal symmetry
• Z<SUB>2</SUB> topological invariant
• Chern number
• Lattice gauge theory

Details

• CRID: 1390282679170497024
• NII Article ID: 130005296817
• NII Article ID: 110006273174
• NII Article ID: 210000106679
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.76.053702
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 8728915
• Web Site: http://id.ndl.go.jp/bib/8728915
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8728915
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.76.053702
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed