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Characterization of quasiholes in fractional Chern insulators

Author(s): Liu, Z; Bhatt, Ravindra N; Regnault, N

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dc.contributor.authorLiu, Z-
dc.contributor.authorBhatt, Ravindra N-
dc.contributor.authorRegnault, N-
dc.date.accessioned2018-07-20T15:08:57Z-
dc.date.available2018-07-20T15:08:57Z-
dc.date.issued2015-01-20en_US
dc.identifier.citationLiu, Z, Bhatt, RN, Regnault, N. (2015). Characterization of quasiholes in fractional Chern insulators. Physical Review B - Condensed Matter and Materials Physics, 91 (10.1103/PhysRevB.91.045126en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1qh49-
dc.description.abstractWe provide a detailed study of the Abelian quasiholes of ν=1/2 bosonic fractional quantum Hall states on the torus geometry and in fractional Chern insulators. We find that the density distribution of a quasihole in a fractional Chern insulator can be related to that of the corresponding fractional quantum Hall state by choosing an appropriate length unit on the lattice. This length unit only depends on the lattice model that hosts the fractional Chern insulator. Therefore, the quasihole size in a fractional Chern insulator can be predicted for any lattice model once the quasihole size of the corresponding fractional quantum Hall state is known. We discuss the effect of the lattice embedding on the quasihole size. We also perform the braiding of quasiholes for fractional Chern insulator models to probe the fractional statistics of these excitations. The numerical values of the braiding phases accurately match the theoretical predictions.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_US
dc.rightsAuthor's manuscripten_US
dc.titleCharacterization of quasiholes in fractional Chern insulatorsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.91.045126-
dc.date.eissued2015-01-20en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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