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Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Dugave, M. | |
| dc.contributor.author | Göhmann, F. | |
| dc.contributor.author | Kozlowski, K.K. | |
| dc.date.accessioned | 2019-02-11T16:06:55Z | |
| dc.date.available | 2019-02-11T16:06:55Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Functions 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.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 45A13; 45M20 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.043 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146811 | |
| dc.description.abstract | We 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.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
