dc.contributor.author
Liu, Zhao
dc.contributor.author
Bergholtz, Emil J.
dc.date.accessioned
2018-06-08T03:47:24Z
dc.date.available
2014-03-04
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/15933
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-20120
dc.description.abstract
The possibility of realizing lattice analogs of fractional quantum Hall (FQH)
states, so-called fractional Chern insulators (FCIs), in nearly flat
topological (Chern) bands has attracted a lot of recent interest. Here, we
make the connection between Abelian as well as non-Abelian FQH states and FCIs
more precise. Using a gauge-fixed version of Qi's Wannier basis representation
of a Chern band, we demonstrate that the interpolation between several FCI
states, obtained by short-range lattice interactions in a spin-orbit-coupled
kagome lattice model, and the corresponding continuum FQH states is smooth:
the gap remains approximately constant and extrapolates to a finite value in
the thermodynamic limit, while the low-lying part of the orbital entanglement
spectrum remains qualitatively unaltered. The orbital entanglement spectra
also provide a first glimpse of the edge physics of FCIs via the bulk-boundary
correspondence. Corroborating these results, we find that the squared overlaps
between the FCI and FQH ground states are as large as 98.7% for the 8-electron
Laughlin state at ν=13 (consistent with an earlier study) and 97.8% for the
10-electron Moore-Read state at ν=12. For the bosonic analogs of these states,
the adiabatic continuity is also shown to hold, albeit with somewhat smaller
associated overlaps, etc. Although going between the Chern bands to the
Landau-level problem is often smooth, we show that this is not always the case
by considering fermions at filling fraction ν=45, where the interpolation
between Hamiltonians describing the two systems results in a phase transition.
en
dc.rights.uri
http://journals.aps.org/authors/transfer-of-copyright-agreement
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik
dc.title
From fractional Chern insulators to Abelian and non-Abelian fractional quantum
Hall states
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Physical Review B. - 87 (2013), 3, Artikel Nr. 035306/1-12
dc.identifier.sepid
33230
dc.title.subtitle
Adiabatic continuity and orbital entanglement spectrum
dcterms.bibliographicCitation.doi
10.1103/PhysRevB.87.035306
dcterms.bibliographicCitation.url
http://link.aps.org/doi/10.1103/PhysRevB.87.035306
refubium.affiliation
Physik
de
refubium.affiliation.other
Institut für Theoretische Physik
refubium.mycore.fudocsId
FUDOCS_document_000000019758
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000003134
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
1098-0121