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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 043, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.043 (Mi sigma908) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

Maxime Dugavea, Frank Göhmanna, Karol Kajetan Kozlowskib

a Fachbereich C–Physik, Bergische Universität Wuppertal, 42097 Wuppertal, Germany
b IMB, UMR 5584 du CNRS, Université de Bourgogne, France
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DOI: https://doi.org/10.3842/SIGMA.2014.043
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.
Keywords: linear integral equations; quantum integrable models; dressed quantities.
Received: November 28, 2013; in final form April 7, 2014; Published online April 11, 2014
Bibliographic databases:
Document Type: Article
MSC: 45A13; 45M20
Language: English
Citation: Maxime Dugave, Frank Göhmann, Karol Kajetan Kozlowski, “Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit”, SIGMA, 10 (2014), 043, 18 pp.
Citation in format AMSBIB
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\paper Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in~the Thermodynamic Limit
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    • This publication is cited in the following 10 articles:
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