Skip to main content

Zoology of fractional Chern insulators

Author(s): Wu, Yang-Le; Bernevig, Bogdan A; Regnault, N

To refer to this page use:
Abstract: 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 v = 1/2 Pfaffian Moore-Read state. Additionally, we identify the structures indicating cluster correlations in the entanglement spectra.
Publication Date: 14-Feb-2012
Citation: Wu, Yang-Le, Bernevig, B Andrei, Regnault, N. (2012). Zoology of fractional Chern insulators. PHYSICAL REVIEW B, 85 (10.1103/PhysRevB.85.075116
DOI: doi:10.1103/PhysRevB.85.075116
ISSN: 1098-0121
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.