Zoology of fractional Chern insulators

Yang Le Wu, B. Andrei Bernevig, N. Regnault

Research output: Contribution to journalArticlepeer-review

132 Scopus citations


We study four different models of Chern insulators in the presence of strong electronic repulsion at partial fillings. We observe that all cases exhibit a Laughlin-like phase at filling fraction 1/3. We provide evidence of such a strongly correlated topological phase by studying both the energy and the entanglement spectra. In order to identify the key ingredients of the emergence of Laughlin physics in these systems, we show how they are affected when tuning the band structure. We also address the question of the relevance of the Berry curvature flatness in this problem. Using three-body interactions, we show that some models can also host a topological phase reminiscent of the ν=1/2 Pfaffian Moore-Read state. Additionally, we identify the structures indicating cluster correlations in the entanglement spectra.

Original languageEnglish (US)
Article number075116
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - Feb 14 2012

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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