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

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.

18 pages, LaTeX; some explanations, 2 figures, one reference added; typos corrected; to appear in J. Phys. A: Math. Gen

References in corpus (3)

• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• Direct Calculation of Thermodynamic Quantities for Heisenberg Model
• Integral equations for thermodynamics of the osp(1|2s) integrable spin chain

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• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Nonlinear Integral Equations and high temperature expansion for the $U_q(\widehat{sl}(r+1|s+1))$ Perk-Schultz Model
• Fusion hierarchies for N = 4 superYang-Mills theory
• Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies
• Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds
• Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• Thermodynamical limit of general gl(N) spin chains: vacuum state and densities
• Thermodynamical limit of general gl(N) spin chains II: Excited states and energies