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

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.

32 pages, 7 figures; references added, minor corrections, final version

References in corpus (4)

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
• Nonlinear Integral Equations and high temperature expansion for the $U_q(\widehat{sl}(r+1|s+1))$ Perk-Schultz Model
• Thermodynamics of a one-dimensional S=1/2 spin-orbital model

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• Hybrid NLIE for the Mirror AdS_5 x S^5
• Thermodynamics of antiferromagnetic alternating spin chains
• Adiabatic spin cooling using high-spin Fermi gases
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• T-W relation and free energy of the Heisenberg chain at a finite temperature
• Doping a Mott insulator with orbital degrees of freedom
• Momentum classification of SU($n$) spin chains using extended Young Tableaux
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• Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction