Fractional topological phases in generalized Hofstadter bands with arbitrary Chern numbers

Ying Hai Wu, J. K. Jain, Kai Sun

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16 Scopus citations


We construct generalized Hofstadter models that possess "color-entangled" flat bands and study interacting many-body states in such bands. For a system with periodic boundary conditions and appropriate interactions, there exist gapped states at certain filling factors for which the ground-state degeneracy depends on the number of unit cells along one particular direction. This puzzling observation can be understood intuitively by mapping our model to a single-layer or a multilayer system for a given lattice configuration. We discuss the relation between these results and the previously proposed "topological nematic states," in which lattice dislocations have non-Abelian braiding statistics. Our study also provides a systematic way of stabilizing various fractional topological states in C>1 flat bands and provides some hints on how to realize such states in experiments.

Original languageEnglish (US)
Article number041119
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jan 26 2015

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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