Phase diagram of the classical Heisenberg model in a trimodal random field distribution

A. Santos-Filho, D.F. de Albuquerque, J.B. Santos-Filho and T.S. Araujo Batista

Physica A: Statistical Mechanics and its Applications, 2016, vol. 461, issue C, 133-139

Abstract: The classical spin 1/2 Heisenberg model on a simple cubic lattice, with fluctuating bond interactions between nearest neighbors and in the presence of a random magnetic field, is investigated by effective field theory based on two-spin cluster. The random field is drawn from the asymmetric and anisotropic trimodal probability distribution. The fluctuating bond is extracted from the symmetric and anisotropic bimodal probability. We estimate the transition temperatures, and the phase diagram in the Tc- h, Tc- p and Tc−α planes. We observe that the temperature of the tricritical point decreases with the increase of disorder in exchange interactions until the system ceases to display tricritical behavior. The disorder of the interactions and reentrant phenomena depends on the trimodal distribution of the random field.

Keywords: Classical Heisenberg model; Effective field theory; Random field; Phase transition diagram (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:461:y:2016:i:c:p:133-139

DOI: 10.1016/j.physa.2016.05.047

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