The Phase Diagram of a Spin Glass on a Tree with Ferromagnetic Interactions

Dorlas, T. C. and Wedagedera, J. R. (2000) The Phase Diagram of a Spin Glass on a Tree with Ferromagnetic Interactions. (Preprint)

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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 Bullet, 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.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	13 Jun 2018 11:35
Last Modified:	27 Dec 2022 08:21
URI:	https://dair.dias.ie/id/eprint/428

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