Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
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Titre | Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit |
Type de publication | Journal Article |
Year of Publication | 2014 |
Auteurs | Dugave M, Goehmann F, Kozlowski KKajetan |
Journal | SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS |
Volume | 10 |
Pagination | 043 |
Type of Article | Article |
ISSN | 1815-0659 |
Mots-clés | dressed quantities, linear integral equations, quantum integrable models |
Résumé | 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. |
DOI | 10.3842/SIGMA.2014.043 |