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

Maxime Dugave ; Frank Göhmann ; Karol Kajetan Kozlowski

Symmetry, integrability and geometry: methods and applications, Tome 10 (2014)

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.

Détail

Keywords: linear integral equations; quantum integrable models; dressed quantities.

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