Critical behavior of su(1/1) supersymmetric spin chains with long-range interactions

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dc.contributor.authorCarrasco, José A.
dc.contributor.authorFinkel Morgenstern, Federico
dc.contributor.authorGonzález López, Artemio
dc.contributor.authorRodríguez González, Miguel Ángel
dc.contributor.authorTempesta, Piergiulio
dc.date.accessioned2023-06-18T05:43:18Z
dc.date.available2023-06-18T05:43:18Z
dc.date.issued2016-07-01
dc.description©2016 American Physical Society. This work was partially supported by Spain’s MINECO under Grant No. FIS2015-63966-P, and by the Universidad Complutense de Madrid and Banco Santander under Grant No. GR3/14-910556. P.T. has been partly supported by the ICMAT Severo Ochoa Project SEV-2015-0554 (MINECO). J.A.C. would also like to thank the Universidad Complutense de Madrid, the Madrid township and the “Residencia de Estudiantes” for their financial support.
dc.description.abstractWe introduce a general class of su(1 / 1) supersymmetric spin chains with long-range interactions which includes as particular cases the su (1 / 1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of models can be fermionized with the help of the algebraic properties of the su(1 / 1 ) permutation operator and take advantage of this fact to analyze their quantum criticality when a chemical potential term is present in the Hamiltonian. We first study the low- energy excitations and the low-temperature behavior of the free energy, hich coincides with that of a (1 + 1)-dimensional conformal field theory (CFT) with central charge c = 1 when the chemical potential lies in the critical interval (0, ε (π)), ε (p) being the dispersion relation. We also analyze the von Neumann and Rényi ground state entanglement entropies, showing that they exhibit the logarithmic scaling with the size of the block of spins characteristic of a one-boson (1 + 1) –dimensional CFT. Our results thus show that the models under study are quantum critical when the chemical potential belongs to the critical interval, with central charge c = 1. From the analysis of the fermion density at zero temperature, we also conclude that there is a quantum phase transition at both ends of the critical interval. This is further confirmed by the behavior of the fermion density at finite temperature, which is studied analytically (at low temperature), as well as numerically for the su(1 / 1) elliptic chain.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipBanco Santander
dc.description.sponsorshipICMAT Severo Ochoa Project
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/41466
dc.identifier.doi10.1103/PhysRevE.93.062103
dc.identifier.issn2470-0045
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevE.93.062103
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/23151
dc.issue.number6
dc.journal.titlePhysical review E
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2015-63966-P
dc.relation.projectIDGR3/14-910556
dc.relation.projectIDSEV-2015-0554
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordConformal field-theory
dc.subject.keywordToeplitz determinants
dc.subject.keywordHeisenberg chain
dc.subject.keywordModel
dc.subject.keywordExchange
dc.subject.keywordPropagation
dc.subject.keywordSystems
dc.subject.keywordEnergy
dc.subject.keywordCharge
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleCritical behavior of su(1/1) supersymmetric spin chains with long-range interactions
dc.typejournal article
dc.volume.number93
dspace.entity.typePublication
relation.isAuthorOfPublication207092a4-0443-4336-a037-15936f8acc25
relation.isAuthorOfPublication7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc
relation.isAuthorOfPublicationd781a665-7ef6-44e0-a0da-81f722f1b8ad
relation.isAuthorOfPublication46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
relation.isAuthorOfPublication.latestForDiscovery207092a4-0443-4336-a037-15936f8acc25
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