Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit

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dc.contributor.authorDugave, M.
dc.contributor.authorGöhmann, F.
dc.contributor.authorKozlowski, K.K.
dc.date.accessioned2019-02-11T16:06:55Z
dc.date.available2019-02-11T16:06:55Z
dc.date.issued2014
dc.description.abstractWe establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed energy, dressed charge and density of Bethe roots. Furthermore, we establish that given a fixed external magnetic field (or a fixed magnetization) there exists a unique value of the boundary of the Fermi zone.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. The authors would like to thank J. Suzuki for helpful discussions. MD and FG acknowledge financial support by the Volkswagen foundation and by the DFG under grant # Go 825/7-1. KKK is supported by the CNRS. His work has been partly financed by the Burgundy region PARI 2013 FABER grant ‘Structures et asymptotiques d’int´egrales multiples'.uk_UA
dc.identifier.citationFunctions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit / M. Dugave, F. Göhmann, K.K. Kozlowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 30 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 45A13; 45M20
dc.identifier.otherDOI:10.3842/SIGMA.2014.043
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146811
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleFunctions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limituk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік