Chern-Simons composite fermion theory of fractional Chern insulators

Ramanjit Sohal, Luiz H. Santos, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review


We formulate a Chern-Simons composite fermion theory for fractional Chern insulators (FCIs), whereby bare fermions are mapped into composite fermions coupled to a lattice Chern-Simons gauge theory. We apply this construction to a Chern insulator model on the kagome lattice and identify a rich structure of gapped topological phases characterized by fractionalized excitations including states with unequal filling and Hall conductance. Gapped states with the same Hall conductance at different filling fractions are characterized as realizing distinct symmetry fractionalization classes.

Original languageEnglish (US)
Article number125131
JournalPhysical Review B
Issue number12
StatePublished - Mar 19 2018

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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