Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model

Abstract

We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result (cond-mat/0212280), and contain only r unknown functions. In particular, they reduce to Takahashi's NLIE for the XXZ spin chain (cond-mat/0010486) if r=1. We also calculate the high temperature expansion of the free energy. In particular for r=1 case, we have succeeded to derive the coefficients of order O((\frac{J}{T})^{99}).

arXiv comment19 pages, 4 figures, only the Mathematica file for the high temperature expansion is replaced, to appear in J.Phys.Soc.Jpn.Vol.74 No.3 (2005)

References in corpus (20)

• Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
• Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Integral representations for correlation functions of the XXZ chain at finite temperature
• Analytic Bethe Ansatz for Fundamental Representations of Yangians
• Continued fraction TBA and functional relations in XXZ model at root of unity
• From Fusion Hierarchy to Excited State TBA
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• High Temperature Expansion for Frustrated and Unfrustrated S=1/2 Spin Chains
• High Temperature Expansion for a Chain Model
• Exact results for the thermal and magnetic properties of strong coupling ladder compounds
• Anti-Symmetrically Fused Model and Non-Linear Integral Equations in the Three-State Uimin-Sutherland Model
• Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies
• Simplification of thermodynamic Bethe-ansatz equations
• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model
• Direct Calculation of Thermodynamic Quantities for Heisenberg Model
• Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds
• Integral equations for thermodynamics of the osp(1|2s) integrable spin chain
• Exact solution and magnetic properties of an anisotropic spin ladder

Cited by in corpus (8)

• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• 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
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
• Correlation Function and Simplified TBA Equations for XXZ Chain