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Fractional Chern insulators beyond Laughlin states

Author(s): Liu, Tianhan; Repellin, C; Bernevig, Bogdan A; Regnault, N

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Abstract: We report the first numerical observation of composite fermion (CF) states in fractional Chern insulators (FCI) using exact diagonalization. The ruby lattice Chern insulator model for both fermions and bosons exhibits a clear signature of CF states at filling factors 2/5 and 3/7 (2/3 and 3/4 for bosons). The topological properties of these states are studied through several approaches. Quasihole and quasielectron excitations in FCI display similar features as their fractional quantum hall (FQH) counterparts. The entanglement spectrum of FCI ground states shows an identical fingerprint to its FQH partner. We show that the correspondence between FCI and FQH obeys the emergent symmetry already established, proving the validity of this approach beyond the clustered states. We investigate other Chern insulator models and find similar signatures of CF states. However, some of these systems exhibit strong finite size effects.
Publication Date: 29-May-2013
Citation: Liu, Tianhan, Repellin, C, Bernevig, B Andrei, Regnault, N. (2013). Fractional Chern insulators beyond Laughlin states. PHYSICAL REVIEW B, 87 (10.1103/PhysRevB.87.205136
DOI: doi:10.1103/PhysRevB.87.205136
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.

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