Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
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. Furthermo...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146811 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862539422870798336 |
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| author | Dugave, M. Göhmann, F. Kozlowski, K.K. |
| author_facet | Dugave, M. Göhmann, F. Kozlowski, K.K. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-24T15:49:12Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146811 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T15:49:12Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dugave, M. Göhmann, F. Kozlowski, K.K. 2019-02-11T16:06:55Z 2019-02-11T16:06:55Z 2014 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. 1815-0659 2010 Mathematics Subject Classification: 45A13; 45M20 DOI:10.3842/SIGMA.2014.043 https://nasplib.isofts.kiev.ua/handle/123456789/146811 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. 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'. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit Article published earlier |
| spellingShingle | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit Dugave, M. Göhmann, F. Kozlowski, K.K. |
| title | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
| title_full | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
| title_fullStr | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
| title_full_unstemmed | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
| title_short | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
| title_sort | functions characterizing the ground state of the xxz spin-1/2 chain in the thermodynamic limit |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146811 |
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