Tricriticality and Reentrance in a Naive Spin-Glass Model

TL;DR

This paper investigates a spin-1 spin-glass model with a crystal field, revealing tricritical points, reentrant phase diagrams, and potential explanations for inverse freezing phenomena.

Contribution

It introduces a simple spin-glass model that captures tricriticality and reentrance, providing insights into inverse freezing.

Findings

Presence of both continuous and first-order phase transitions

Identification of a tricritical point in the phase diagram

Reentrance phenomena at low temperatures

Abstract

In this paper a spin-1 spin-glass model under the presence of a uniform crystal field is investigated. It is shown that the model presents both continuous and first-order phase transition separated by a tricritical point. The phase diagram is obtained within the replica-symmetric solution and exhibits reentrance phenomena at low temperatures. Possibly it is the simplest model which can describe inverse freezing phenomena.