Random transverse single-ion anisotropy in the spin−1 Blume–Capel quantum model

C.M. Salgado, N.L. de Carvalho, P.H.Z. de Arruda, M. Godoy, A.S. de Arruda, Emanuel Costabile and J. Ricardo de Sousa

Physica A: Statistical Mechanics and its Applications, 2019, vol. 522, issue C, 18-32

Abstract: We have studied the effects of the random transverse single-ion anisotropy in the phase diagram and in the thermodynamic properties of the spin−1 Blume–Capel quantum model, which has been used the approach the mean-field theory based on the Bogoliubov inequality for the Gibbs free energy. The phase diagrams were obtained in the temperature τ=kBT∕zJ versus single-ion anisotropy δx=Dx∕zJ plane for several values of δy=Dy∕zJ, p and q. The results show that there is a tricritical behavior only in the range of δy given by −0.048≤δy<0.5. This behavior is shown again by the curves of the magnetization m as a function of temperature τ with corresponding values of δy, p and q.

Keywords: Random anisotropy; Blume–Capel model; Phase diagram (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:522:y:2019:i:c:p:18-32

DOI: 10.1016/j.physa.2019.01.123

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