6533b827fe1ef96bd12865ac

RESEARCH PRODUCT

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

A. CavalloF. CosenzaL. De Cesare

subject

Statistics and ProbabilityPhysicsCondensed matter physicsStatistical Mechanics (cond-mat.stat-mech)Heisenberg modelOrder (ring theory)Spectral densityFOS: Physical sciencesStatistical mechanicsClassical Heisenberg modelCondensed Matter PhysicsMagnetic fieldFerromagnetismQuantum mechanicsCondensed Matter - Statistical MechanicsSpin-½

description

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 $dd$ with $d>2$, consistently with known theorems. Besides, the related critical temperature is determined and a study of the critical properties is performed.

https://dx.doi.org/10.48550/arxiv.cond-mat/0306673