Effective field theory analysis of 3D random field Ising model on isometric lattices

TL;DR

This paper uses effective field theory to analyze the phase diagrams and magnetization of the 3D random field Ising model with various random field distributions on different isometric lattices, exploring complex phenomena like reentrant behavior.

Contribution

It introduces an effective field approximation that accounts for spin correlations and investigates the impact of different random field distributions on phase behavior in 3D lattices.

Findings

Distribution shape affects phase diagrams and magnetization curves.

Reentrant behavior and tricritical points are identified under certain conditions.

The effective field approach captures correlations between spins.

Abstract

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between different spins that emerge when expanding the identities. Random field distribution shape dependencies of the phase diagrams and magnetization curves are investigated for simple cubic, body centered and face centered cubic lattices. The conditions for the occurrence of reentrant behavior and tricritical points on the system are also discussed in detail.