Exact solution of the D3 non-Abelian anyon chain

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dc.identifier.uri http://dx.doi.org/10.15488/5075
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/5119
dc.contributor.author Braylovskaya, Natalia
dc.contributor.author Finch, Peter E.
dc.contributor.author Frahm, Holger
dc.date.accessioned 2019-07-02T11:04:54Z
dc.date.available 2019-07-02T11:04:54Z
dc.date.issued 2016
dc.identifier.citation Braylovskaya, N.; Finch, P.E.; Frahm, H.: Exact solution of the D3 non-Abelian anyon chain. In: Physical Review B 94 (2016), Nr. 8, 85138. DOI: https://doi.org/10.1103/PhysRevB.94.085138
dc.description.abstract Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensional irreducible representation of the dihedral group D3 [or, equivalently, the integer sector of the su(2)4 spin-1 chain] are constructed using the spin-anyon correspondence to a D3-symmetric formulation of the XXZ Heisenberg spin chain. The spectral problem is solved using discrete inversion identities satisfied by these transfer matrices and functional Bethe ansatz methods. The resulting spectrum can be related to that of the XXZ spin-1/2 Heisenberg chain with boundary conditions depending on the topological sector of the anyon chain. The properties of this model in the critical regime are studied by finite size analysis of the spectrum. In particular, points in the phase diagram where the anyon chain realizes some of the rational Z2 orbifold theories are identified. eng
dc.language.iso eng
dc.publisher College Park (Maryland) : American Physical Society
dc.relation.ispartofseries Physical Review B
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject XXZ Heisenberg spin chain eng
dc.subject.ddc 530 | Physik ger
dc.title Exact solution of the D3 non-Abelian anyon chain
dc.type article
dc.type Text
dc.relation.essn 1095-3795
dc.relation.essn 1550-235X
dc.relation.essn 2469-9969
dc.relation.issn 0163-1829
dc.relation.issn 0556-2805
dc.relation.issn 1098-0121
dc.relation.issn 2469-9950
dc.relation.doi https://doi.org/10.1103/PhysRevB.94.085138
dc.bibliographicCitation.issue 8
dc.bibliographicCitation.volume 94
dc.bibliographicCitation.firstPage 85138
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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