Frustrated Blume-Emery-Griffiths model

Details Frustrated Blume-Emery-Griffiths model Frustrated Blume-Emery-Griffiths model

1996-12-20

arxiv.org/abs/cond-mat/9612189v2

Eur. Phys. J. B 9, 479-490 (1999)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 11 figures

Scientific paper

10.1007/s100510050789

A generalised integer S Ising spin glass model is analysed using the replica formalism. The bilinear couplings are assumed to have a Gaussian distribution with ferromagnetic mean = Jo. Incorporation of a quadrupolar interaction term and a chemical potential leads to a richer phase diagram with transitions of first and second order. The first order transition may be interpreted as a phase separation, and contrary to what has been argued previously, it persists in the presence of disorder. Finally, the stability of the replica symmetric solution with respect to fluctuations in replica space is analysed, and the transition lines are obtained both analytically and numerically.

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