Time-reversal symmetric hierarchy of fractional incompressible liquids

Luiz Santos, Titus Neupert, Shinsei Ryu, Claudio Chamon, Christopher Mudry

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


We provide an effective description of fractional topological insulators that include the fractional quantum spin Hall effect by considering the time-reversal symmetric pendant to the topological quantum field theories that encode the Abelian fractional quantum Hall liquids. We explain the hierarchical construction of such a theory and establish for it a bulk-edge correspondence by deriving the equivalent edge theory for chiral bosonic fields. Furthermore, we compute the Fermi-Bose correlation functions of the edge theory and provide representative ground state wave functions for systems described by the bulk theory.

Original languageEnglish (US)
Article number165138
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number16
StatePublished - Oct 31 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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