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

Abstract

The thermodynamic properties of a classical d-dimensional spin-S Heisenberg ferromagnet, with long-range interactions decaying as $r^{-p}$ 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 $d<p<2d$ with $d\le 2$ and for $p>d$ with $d>2$, consistently with known theorems. Besides, the related critical temperature is determined and a study of the critical properties is performed.

27 pages, 2 figures, Submitted to Physica A

References in corpus (1)

• Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions

Cited by in corpus (3)

• Callen-like method for the classical Heisenberg ferromagnet
• Critical temperature of site-diluted spin-1/2 systems with long-range ferromagnetic interactions
• Spectral density method in quantum nonextensive thermostatistics and magnetic systems with long-range interactions