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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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Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Інший ID:
2010 Mathematics Subject Classification: 45A13; 45M20
DOI:10.3842/SIGMA.2014.043
DOI:10.3842/SIGMA.2014.043
Посилання:
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.
Підтримка:
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'.
Дата:
2014
Переглядів:
444
Завантажень:
198
Анотація:
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.
