Symmetry-protected quantum phase transition in topological insulators

  • L. F. LiuEmail author
  • X. L. Zhang
  • S. P. Kou
Regular Article


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.


Mesoscopic and Nanoscale Systems 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute of PhysicsChinese Academy of SciencesBeijingP.R. China
  2. 2.Department of PhysicsBeijing Normal UniversityBeijingP.R. China

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