Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
classification
🧮 math-ph
cond-mat.str-elhep-thmath.MP
keywords
chaindressedestablishfixedpropertiesspin-1betheboundary
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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.
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