Disorder effects in Ising metamagnetic phase transition

TL;DR

This study uses Monte Carlo simulations to analyze how quenched disorder affects the phase transition in Ising metamagnet systems, revealing how impurities and random fields lower the transition temperature and alter critical behavior.

Contribution

It provides a detailed analysis of disorder effects on Ising metamagnetic phase transitions, including scaling laws and the dependence of critical temperature on impurity concentration and random field width.

Findings

Transition temperature decreases with impurity concentration

Scaling behavior observed in staggered magnetisation

Critical temperature depends linearly on impurity concentration and nonlinearly on random field width

Abstract

The thermodynamics of randomly quenched disordered Ising metamagnet has been studied by Monte Carlo simulations. The disorder has been implemented either by inserting nonmagnetic impurity or by uniformly distributed quenched random magnetic field. The staggered magnetisation ($M_s$) (calculated from the sublattice magnetisation) and the corresponding staggered susceptibility ($\chi$) are studied as functions of the temperature ($T$). The antiferromagnetic phase transition has been found while cooling the system from the high temperature paramagnetic phase. The transition temperature(or pseudocritical temperature ($T_c$)) has been found to decrease as the concentration ($p$) of nonmagnetic impurity increased. The nonmagnetic impurity dependent staggered magnetisation has been found to show the scaling behaviour $M_sp^b \sim (T-T_c)p^a$ (with $a \cong -0.95$, $b \cong 0.09$ and $T_c \cong 4.45$) obtained through the data collapse. The zero temperature staggered magnetisation ($M_s(0)$) has been found to decrease linearly. The critical temperature($T_c$) is showing a linear ($T_c=mp+c$) dependence with the concentration ($p$) of nonmagnetic impurity. The antiferromagnetic phase transition has been found to take place at lower temperature for the higher value of the width ($s$) of the uniformly distributed quenched random field. The critical temperature ($T_c$) has been found to show the nonlinear dependence ($T_c=a+bs+cs^2$) on the width ($s$) of the uniformly distributed random magnetic field. The extrapolation (both for $p \to 0$ and $s \to 0$) restores the Neel temperature of three dimensional pure Ising antiferromagnet.