Zoology of Fractional Chern Insulators

Details Zoology of Fractional Chern Insulators Zoology of Fractional Chern Insulators

2011-11-04

arxiv.org/abs/1111.1172v1

Phys. Rev. B 85, 075116 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 34 figures

Scientific paper

10.1103/PhysRevB.85.075116

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 nu=1/2 Pfaffian Moore-Read state. Additionally, we identify the structures indicating cluster correlations in the entanglement spectra.

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