Magnetic Properties of the Metamagnet Ising Model in a three-dimensional Lattice in a Random and Uniform Field

TL;DR

This paper investigates the magnetic behavior of the three-dimensional Metamagnet Ising Model under random fields using Monte Carlo simulations, mapping its phase diagram with varying lattice sizes.

Contribution

It provides new insights into the phase transitions of the Metamagnet Ising Model in three dimensions under random fields through extensive Monte Carlo analysis.

Findings

Phase diagram of the model mapped out.

Identification of phase transition points.

Insights into the effects of random fields on magnetic ordering.

Abstract

By employing the Monte Carlo technique we study the behavior of Metamagnet Ising Model in a random field. The phase diagram is obtained by using the algorithm of Glaubr in a cubic lattice of linear size $L$ with values ranging from 16 to 42 and with periodic boundary conditions.