Direct Calculation of Thermodynamic Quantities for Heisenberg Model

Abstract

The XXX Heisenberg model is studied at finite temperature. The free energy is derived without recourse to Thermal Bethe Ansatz method and Quantum Transfer Matrix method. The result perfectly agrees with the free energy derived by Thermal Bethe Ansatz method. An explicit expression of the cluster expansion coefficient in arbitrary order is presented for the first time.

26 pages

References in corpus (2)

• Partition Function for a 1-D delta-function Bose Gas
• Graphical representation of the partition function for a 1-D delta-function Bose gas

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• From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model
• Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
• A direct calculation of the free energy from the Bethe ansatz equation for the Heisenberg model