Critical Behavior of AC Antiferromagnetic and Ferromagnetic Susceptibilities of a Spin-1/2 Metamagnetic Ising System

TL;DR

This paper investigates the temperature-dependent dynamic and static susceptibilities of a spin-1/2 metamagnetic Ising system near its critical point, deriving kinetic equations and critical exponents to understand its magnetic response.

Contribution

It introduces a comprehensive analysis of both equilibrium and non-equilibrium susceptibilities, deriving kinetic equations and calculating critical exponents for the first time in this context.

Findings

Good agreement with previous theoretical and experimental results

Dynamic and static critical exponents are calculated

Susceptibility behavior near the critical point is characterized

Abstract

In this study, the temperature variations of the equilibrium and the non-equilibrium antiferromagnetic and ferromagnetic susceptibilities of a metamagnetic system are examined near the critical point. The kinetic equations describing the time dependencies of the total and staggered magnetizations are derived by utilizing linear response theory. In order to obtain dynamic magnetic relaxation behavior of the system, the stationary solutions of the kinetic equations in existence of sinusoidal staggered and physical external magnetic fields are performed. In addition, the static and dynamical mean field critical exponents are calculated in order to formulate the critical behavior of antiferromagnetic and ferromagnetic magnetic response of a metamagnetic system. Finally, a comparison of the findings of this study with previous theoretical and experimental studies is represented and it is shown that a good agreement is found with our results.