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Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain

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dc.contributor.authorJosé M.P.Carmelo-
dc.contributor.authorTilenˇCadež-
dc.contributor.authorPedro D.Sacramento-
dc.date.accessioned2020-12-22T02:24:20Z-
dc.date.accessioned2020-12-22T02:24:20Z-
dc.date.available2020-12-22T02:24:20Z-
dc.date.available2020-12-22T02:24:20Z-
dc.date.created2020-11-09-
dc.date.issued2020-11-
dc.identifier.issn0550-3213-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/7564-
dc.description.abstractRecently there has been a renewed interest in the spectra and role in dynamical properties of excited states of the spin-1/2 Heisenberg antiferromagnetic chain in longitudinal magnetic fields associated with Bethe strings. The latter are bound states of elementary magnetic excitations described by Bethe-ansatz complex non-real rapidities. Previous studies on this problem referred to finite-size systems. Here we consider the thermodynamic limit and study it for the isotropic spin-1/2 Heisenberg XXX chain in a longitudinal magnetic field. We confirm that also in that limit the most significant spectral weight contribution from Bethe strings leads to (k, omega)-plane gapped continua in the spectra of the spin dynamical structure factors S+-(k, omega) and S-xx(k, omega) = S-yy(k, omega). The contribution of Bethe strings to S-zz(k, omega) is found to be small at low spin densities m and to become negligible upon increasing that density above m approximate to 0.317. For S-+(k, omega), that contribution is found to be negligible at finite magnetic field. We derive analytical expressions for the line shapes of S+-(k, omega), S-xx(k, omega) = S-yy(k, omega), and S-zz(k, omega) valid in the (k, omega)-plane vicinity of singularities located at and just above the gapped lower thresholds of the Bethe-string states's spectra. As a side result and in order to provide an overall physical picture that includes the relative (k, omega)-plane location of all spectra with a significant amount of spectral weight, we revisit the general problem of the line-shape of the transverse and longitudinal spin dynamical structure factors at finite magnetic field and excitation energies in the (k, omega)-plane vicinity of other singularities. This includes those located at and just above the lower thresholds of the spectra that stem from excited states described by only real Bethe-ansatz rapidities. (C) 2020 The Author(s). Published by Elsevier B.V.-
dc.description.uri1-
dc.language영어-
dc.publisherELSEVIER-
dc.subjectHeisenberg-
dc.subjectAntiferromagnet-
dc.subjectSpin Chains-
dc.titleBethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000596680000010-
dc.identifier.scopusid2-s2.0-85091118124-
dc.identifier.rimsid73363-
dc.contributor.affiliatedAuthorTilenˇCadež-
dc.identifier.doi10.1016/j.nuclphysb.2020.115175-
dc.identifier.bibliographicCitationNUCLEAR PHYSICS B, v.960, pp.115175-
dc.citation.titleNUCLEAR PHYSICS B-
dc.citation.volume960-
dc.citation.startPage115175-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaPhysics-
dc.relation.journalWebOfScienceCategoryPhysics, Particles & Fields-
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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