Blume-Emery-Griffiths Model in a Random Crystal Field

Abstract

We study the Blume-Emery-Griffiths model in a random crystal field in two and three dimensions, through a real-space renormalization-group approach and a mean-field approximation, respectively. According to the two-dimensional renormalization-group calculation, non-symmetry-breaking first-order phase transitions are eliminated and symmetry-breaking discontinuous transitions are replaced by continuous ones, when disorder is introduced. On the other hand, the mean-field calculation predicts that first-order transitions are not eliminated by disorder, although some changes are introduced in the phase diagrams. We make some comments on the consequences of a degeneracy parameter, which may be relevant in martensitic transitions.

Uses epsf; 6 pages; 6 figures included; to appear in Phys. Rev. B

References in corpus (2)

• Real-Space Renormalization Group Study of the Two-dimensional Blume-Capel Model with a Random Crystal Field
• Mean-Field Study of the Degenerate Blume-Emery-Griffiths Model in a Random Crystal Field

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