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Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model

Jens Damerau·Andreas Klümper
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Abstract

We derive a finite set of nonlinear integral equations (NLIE) for the thermodynamics of the one-dimensional sl(4)-symmetric Uimin-Sutherland model. Our NLIE can be evaluated numerically for arbitrary finite temperature and chemical potentials. We recover the NLIE for sl(3) as a limiting case. In comparison to other recently derived NLIE, the evaluation at low temperature poses no problem in our formulation. The model shows a rich ground-state phase diagram. We obtain the critical fields from the T to zero limit of our NLIE. As an example for the application of the NLIE, we give numerical results for the SU(4) spin-orbital model. The magnetic susceptibility shows divergences at critical fields in the low-temperature limit and logarithmic singularities for zero magnetic field.

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Jens Damerau, Andreas Klümper. 2006-12-20. Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model. https://doi.org/10.1088/1742-5468%2F2006%2F12%2Fp12014

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