Critical Behavior of Low Dimensional Magnetic Systems

TL;DR

This paper investigates the critical behavior of low-dimensional magnetic systems, specifically a cyano-bridged Tb(III)-Cr(III) assembly, using a mixed spin Ising model simulated with cellular automaton algorithms, revealing compatibility with experimental quasi-one-dimensional structures.

Contribution

It introduces a simulation of the mixed spin Ising model for low-dimensional magnetic systems using cellular automaton algorithms, linking theoretical results with experimental structures.

Findings

Magnetization behavior under zero and field cooling processes.

Compatibility of 1D Ising model results with experimental Tb-Cr assembly.

Effect of magnetic field on the critical behavior of the system.

Abstract

In this study, critical behavior of low dimensional magnetic systems as cyano-bridged Tb(III)-Cr(III) bimetallic assembly was investigated with the mixed spin $3$- spin $3/2$ Ising model. The mixed spin Ising model is simulated with Cellular Automaton cooling and heating algorithms on one-dimensional lattices in periodic boundary conditions. The Ising model Hamiltonian includes only antiferromagnetic nearest-neighbor interaction ($% J>0$). The mixed spin system behaves like the isolated one-dimensional chain for zero magnetic field ($h=\frac{H}{J}=0$). In the presence of the magnetic field, the magnetization is calculated using zero-field cooling ($ZFC$) and field cooling ($FC$) processes. The one-dimensional Ising model results are compatible with the cyano-bridged Tb(III)-Cr(III) bimetallic quasi-one dimensional assembly [Tb(H_{2}O)_{2}(DMF)_{4}{ Cr(CN)_{6}}].H_{2}O(DMF=dimethylformamide) results.