Monte Carlo simulation of equilibrium and dynamic phase transition properties of an Ising bilayer

TL;DR

This study uses Monte Carlo simulations to explore the equilibrium and dynamic phase transitions of an Ising bilayer system on a honeycomb lattice, revealing how magnetic properties and compensation phenomena depend on interlayer coupling and external magnetic fields.

Contribution

It introduces a detailed Monte Carlo analysis of both equilibrium and dynamic properties of an Ising bilayer, including effects of different oscillating magnetic fields and interlayer exchange interactions.

Findings

Ferrimagnetism exhibits P-, N-, and Q-type behaviors.

Compensation point disappears with weaker indirect interlayer coupling.

Dynamic phase transition points decrease with increasing field amplitude and period.

Abstract

Magnetic properties of an Ising bilayer system defined on a honeycomb lattice with non-magnetic interlayers which interact via an indirect exchange coupling have been investigated by Monte Carlo simulation technique. Equilibrium properties of the system exhibit ferrimagnetism with $P$-, $N$- and $Q$- type behaviors. Compensation phenomenon suddenly disappears with decreasing strength of indirect ferrimagnetic interlayer exchange coupling. Qualitative properties are in a good agreement with those obtained by effective field theory. In order to investigate the stochastic dynamics of kinetic Ising bilayer, we have introduced two different types of dynamic magnetic fields, namely a square wave, and a sinusoidally oscillating magnetic field form. For both field types, compensation point and critical temperature decrease with increasing amplitude and field period. Dynamic ferromagnetic region in the presence of square wave magnetic field is narrower than that obtained for sinusoidally oscillating magnetic field when the amplitude and the field period are the same for each type of dynamic magnetic fields.