Relevant Analytic Spontaneous Magnetization Relation for the Face-Centered-Cubic Ising Lattice

TL;DR

This paper develops an approximate analytical expression for spontaneous magnetization in the face-centered-cubic Ising lattice, extending a novel approach previously applied to other cubic lattices, and finds good agreement with Monte Carlo simulations.

Contribution

It introduces a new approximate analytic magnetization relation for the face-centered-cubic Ising lattice using a combined identity and correlation approach.

Findings

Analytic relation closely matches Monte Carlo results.

Extends previous methods to face-centered-cubic lattice.

Provides a new tool for studying magnetic properties in complex lattices.

Abstract

The relevant approximate spontaneous magnetization relations for the simple-cubic and body-centered-cubic Ising lattices have recently been obtained analytically by a novel approach that conflates the Callen--Suzuki identity with a heuristic odd-spin correlation magnetization relation. By exploiting this approach, we study an approximate analytic spontaneous magnetization expression for the face-centered-cubic Ising lattice. We report that the results of the analytic relation obtained in this work are nearly consistent with those derived from the Monte Carlo simulation.