Topological phases and the quantum spin Hall effect in three dimensions

2006/07/21 by Rahul Roy · 8 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.79.195322

published as Phys. Rev. B 79, 195322 (2009)

arxiv created 2006/07/21 · openalex publication_date 2009/05/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show the existence of topological phases of Bloch insulators with time-reversal symmetry in three dimensions. These phases are characterized by topological Z₂ invariants whose stability is studied using band-touching arguments. Unlike insulators which break time-reveral symmetry, some of these topological phases are intrinsically three dimensional. The number of invariants (four) needed to specify the phase of these insulators also differs from the time-reversal-breaking case. The relation between these phases and the quantum spin Hall effect in three dimensions is investigated.

Citations

• Homotopy and Quantization in Condensed Matter Physics

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• Spin-charge locking and tunneling into a helical metal
• Quantization of Non-Abelian Berry Phase for Time-Reversal-Invariant Systems