Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-10-19
J.Stat.Mech.0612:P12014,2006
Physics
Condensed Matter
Statistical Mechanics
32 pages, 7 figures; references added, minor corrections, final version
Scientific paper
10.1088/1742-5468/2006/12/P12014
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.
Damerau Jens
Klümper Andreas
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