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)

Share Twitter Facebook Email

[img] Text
DIAS-STP-00-06.pdf

Download (359kB)

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: 17 Jul 2018 13:02
URI: http://dair.dias.ie/id/eprint/428

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year