Topological nonsymmorphic crystalline insulators

Chao Xing Liu, Rui Xing Zhang, Brian K. Vanleeuwen

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


In this work, we identify a class of topological phases protected by nonsymmorphic crystalline symmetry dubbed "topological nonsymmorphic crystalline insulators." We construct a concrete tight-binding model for a lattice with nonsymmorphic symmetry and confirm its topological nature by directly calculating topological surface states. Analogous to "Kramers' pairs" originating from time-reversal symmetry, we introduce "doublet pairs" originating from nonsymmorphic symmetry to define the corresponding Z2 topological invariant for this phase. Based on projective representation theory, we extend our discussion to other nonsymmorphic symmetry groups that can host this topological phase which will provide guidance for the systematic search for new topological materials.

Original languageEnglish (US)
Article number085304
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
StatePublished - Aug 11 2014

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Topological nonsymmorphic crystalline insulators'. Together they form a unique fingerprint.

Cite this