Thermodynamics of the one-dimensional s=1 XXZ Heisenberg model: analytical results
O. Rojas, E. V. Correa-Silva, W. A. Moura-Melo, S. M. de Souza, M. T., Thomaz
TL;DR
This paper derives an analytical beta-expansion of the Helmholtz free energy for the spin-1 XXZ Heisenberg model, valid across all phases, and confirms its accuracy by fitting specific heat data to numerical results.
Contribution
It provides a 5th order analytical beta-expansion for the model's free energy, extending understanding across all phases.
Findings
The analytical expansion matches numerical specific heat results at high temperatures.
The beta-expansion is valid for all phases of the model.
Provides a tool for studying thermodynamics of the spin-1 XXZ Heisenberg model.
Abstract
We apply the results recently derived by Rojas et al. to derive the beta-expansion of the Helmholtz free energy of the spin-1 XXZ Heisenberg model up to 5th order in beta. The analytical expansion obtained is valid for all phases of this model. Our curves of the specific heat fit well Bloete's numerical results in the high temperature regime.
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Taxonomy
TopicsTheoretical and Computational Physics · Nonlinear Dynamics and Pattern Formation · Advanced Thermodynamics and Statistical Mechanics