Thermodynamic properties of a classical d-dimensional spin-S Heisenberg ferromagnet with long-range interactions via the spectral density method

preprint2003arXivOpen access

Abstract

The thermodynamic properties of a classical d-dimensional spin-S Heisenberg ferromagnet, with long-range interactions decaying as r−pr^{-p} and in the presence of an external magnetic field, is investigated by means of the spectral density method in the framework of classical statistical mechanics. We find that long-range order exists at finite temperature for d<p<2dd<p<2d with d≤2d\leq 2 and for p>dp>d with d>2d>2, consistently with known theorems. Besides, the related critical temperature is determined and a study of the critical properties is performed.

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