On the critical behaviour of the integrable q-deformed OSp(3|2) superspin chain

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dc.identifier.uri http://dx.doi.org/10.15488/10411
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/10485
dc.contributor.author Frahm, Holger
dc.contributor.author Hobuß, Konstantin
dc.contributor.author Martins, Márcio J.
dc.date.accessioned 2021-02-16T12:48:34Z
dc.date.available 2021-02-16T12:48:34Z
dc.date.issued 2019
dc.identifier.citation Frahm, H.; Hobuß, K.; Martins, M.J.: On the critical behaviour of the integrable q-deformed OSp(3|2) superspin chain. In: Nuclear Physics B 946 (2019), 114697. DOI: https://doi.org/10.1016/j.nuclphysb.2019.114697
dc.description.abstract This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the OSp(3|2) superalgebra. The finite-size properties of the eigenspectra are computed by solving the respective Bethe ansatz equations for large system sizes allowing us to uncover the low-lying critical exponents. We present evidences that critical exponents appear to be built in terms of composites of anomalous dimensions of two Coulomb gases with distinct radii and the exponents associated to Z(2) degrees of freedom. This view is supported by the fact that the S=1 XXZ integrable chain spectrum is present in some of the sectors of our superspin chain at a particular value of the deformation parameter. We find that the fine structure of finite-size effects is very rich for a typical anisotropic spin chain. In fact, we argue on the existence of a family of states with the same conformal dimension whose lattice degeneracies are apparently lifted by logarithmic corrections. On the other hand we also report on states of the spectrum whose finite-size corrections seem to be governed by a power law behaviour. We finally observe that under toroidal boundary conditions the ground state dependence on the twist angle has two distinct analytical structures. eng
dc.language.iso eng
dc.publisher Amsterdam : Elsevier B.V.
dc.relation.ispartofseries Nuclear Physics B 946 (2019)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject superalgebra eng
dc.subject integrable chain spectrum eng
dc.subject Bethe ansatz eng
dc.subject.ddc 530 | Physik ger
dc.title On the critical behaviour of the integrable q-deformed OSp(3|2) superspin chain
dc.type article
dc.type Text
dc.relation.issn 0550-3213
dc.relation.doi https://doi.org/10.1016/j.nuclphysb.2019.114697
dc.bibliographicCitation.volume 946
dc.bibliographicCitation.firstPage 114697
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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