The Phase Diagram of a Spin Glass Model |
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Authors: | J. R. Wedagedera T. C. Dorlas |
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Affiliation: | (1) Department of Mathematics, University of Ruhuna, Matara, Sri Lanka;(2) School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland |
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Abstract: | A spin glass problem on a Cayley tree with ferromagnetic interactions is solved rigorously. Using a level-I large deviation argument together with the martingale approach used by Buffet, Patrick and Pulé,(1) explicit expressions for the free energy are derived in different regions of the phase diagram. It is found that there are four phases: a paramagnetic phase, a spin-glass phase, a ferromagnetic phase and a mixed phase. The nature of the phase diagram depends on the power with which the ferromagnetic term occurs in the Hamiltonian. |
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Keywords: | spin glasses directed polymers martingales large deviations information theory |
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