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Symmetry-protected quantum phase transition in topological insulators

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  • L. Liu
  • X. Zhang
  • S. Kou

Abstract

In this paper, based on the lattice model of a topological insulator, we study the quantum phase transitions of topological insulators with different symmetry by calculating their phase diagrams and topological invariants. In particular, we investigate the symmetry-protected nature of the topological quantum phase transitions: topological quantum phase transitions can not be classified by symmetries. However, the symmetry of the system plays an important role: different topological quantum phase transitions are protected by different (global) symmetries and then described by different topological invariants. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • L. Liu & X. Zhang & S. Kou, 2012. "Symmetry-protected quantum phase transition in topological insulators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(8), pages 1-6, August.
    • Handle: RePEc:spr:eurphb:v:85:y:2012:i:8:p:1-6:10.1140/epjb/e2012-30123-2
    DOI: 10.1140/epjb/e2012-30123-2
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    Mesoscopic and Nanoscale Systems;

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