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arXiv:cond-mat/0308333 · Journal of Physics A Mathematical and General

From the quantum Jacobi–Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model

Zengo Tsuboi

Published Jan 19, 2004• 13 citations
arXivHTMLPDF

Abstract

We propose a nonlinear integral equation (NLIE) with only one unknown function, which gives the free energy of the integrable one-dimensional Heisenberg model with arbitrary spin. In deriving the NLIE, the quantum Jacobi–Trudi and Giambelli formula (Bazhanov–Reshetikhin formula), which gives the solution of the T -system, plays an important role. In addition, we also calculate the high temperature expansion of the specific heat and the magnetic susceptibility.

DOI
10.1088/0305-4470/37/5/019

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