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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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dc.contributor.authorLiu, Tianhan-
dc.contributor.authorRepellin, C-
dc.contributor.authorBernevig, Bogdan A-
dc.contributor.authorRegnault, N-
dc.date.accessioned2020-10-30T19:20:41Z-
dc.date.available2020-10-30T19:20:41Z-
dc.date.issued2013-05-29en_US
dc.identifier.citationLiu, Tianhan, Repellin, C, Bernevig, B Andrei, Regnault, N. (2013). Fractional Chern insulators beyond Laughlin states. PHYSICAL REVIEW B, 87 (10.1103/PhysRevB.87.205136en_US
dc.identifier.issn1098-0121-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1dc01-
dc.description.abstractWe 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.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Ben_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleFractional Chern insulators beyond Laughlin statesen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.87.205136-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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