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

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.

preprint2014arXivOpen access
Maxime DugaveFrank GöhmannKarol K. Kozlowski
cond-mat.str-elmath-phmath.MPhep-th
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Maxime DugaveFrank GöhmannKarol K. Kozlowski

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