Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 043, 18 pages      arXiv:1311.6959      https://doi.org/10.3842/SIGMA.2014.043
Contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa

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

Maxime Dugave a, Frank Göhmann a and Karol Kajetan Kozlowski b
a) Fachbereich C - Physik, Bergische Universität Wuppertal, 42097 Wuppertal, Germany
b) IMB, UMR 5584 du CNRS, Université de Bourgogne, France

Received November 28, 2013, in final form April 07, 2014; Published online April 11, 2014

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.

Key words: linear integral equations; quantum integrable models; dressed quantities.

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