Frustrated Blume-Emery-Griffiths model |
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Authors: | GR Schreiber |
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Institution: | (1) Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France, Division de Physique Théorique, Institut de Physique Nucléaire, Université Paris-Sud, 91406 Orsay Cedex, France, FR |
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Abstract: | 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 . 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.
Received 13 January 1997 |
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Keywords: | PACS 75 10 Nr Spin-glass and other random models - 64 60 Cn Order-disorder and statistical mechanics of model systems - 05 50 +q Lattice theory and statistics (Ising Potts etc ) |
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