Thermodynamical Properties of the Antiferromagnetic Heisenberg Model in Dimensions d=1,2,3
M.Karbach, K.-H. M\"utter, P. Ueberholz, H.Kr\"oger
TL;DR
This paper derives explicit formulas for the internal energy and specific heat of the antiferromagnetic Heisenberg model in one, two, and three dimensions using a cluster expansion approach.
Contribution
It provides a novel analytical evaluation of thermodynamical properties for the d-dimensional antiferromagnetic Heisenberg model.
Findings
Explicit formulas for internal energy and specific heat in 1D, 2D, and 3D.
Application of dimer cluster expansion to thermodynamic calculations.
Insights into the thermodynamics of quantum spin systems.
Abstract
The evolution equation for the expectation values of the Boltzmann factor between valence bond states is evaluated in lowest order of the dimer cluster expansion. Explicit formulas are given for the internal energy and the specific heat of the d-dimensional antiferromagnetic Heisenberg model.
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Taxonomy
TopicsTheoretical and Computational Physics · Physics of Superconductivity and Magnetism · Advanced Thermodynamics and Statistical Mechanics