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

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TitreFunctions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Type de publicationJournal Article
Year of Publication2014
AuteursDugave M, Goehmann F, Kozlowski KKajetan
JournalSYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
Volume10
Pagination043
Type of ArticleArticle
ISSN1815-0659
Mots-clésdressed 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.

DOI10.3842/SIGMA.2014.043