Phase transitions in the three-state Ising spin-glass model with finite connectivity

Details Phase transitions in the three-state Ising spin-glass model with finite connectivity Phase transitions in the three-state Ising spin-glass model with finite connectivity

2011-06-16

arxiv.org/abs/1106.3347v1

Phys. Rev. E 83, 061126 (2011)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

10.1103/PhysRevE.83.061126

The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in this work within the replica technique to study the phase transitions in the three-state Ghatak-Sherrington (or random Blume-Capel) model of a spin glass with a crystal field term. The replica symmetry ansatz for the order function is expressed in terms of a two-dimensional effective-field distribution which is determined numerically by means of a population dynamics procedure. Phase diagrams are obtained exhibiting phase boundaries which have a reentrance with both a continuous and a genuine first-order transition with a discontinuity in the entropy. This may be seen as "inverse freezing", which has been studied extensively lately, as a process either with or without exchange of latent heat.

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