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

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.

Automated summary

The analytic expressions for approximate spontaneous magnetization in simple-cubic and body-centered-cubic Ising lattices have recently been obtained using a new approach that combines the Callen-Suzuki identity with a heuristic odd-spin correlation magnetization relation. By applying this approach, we also examine an approximate analytic expression for spontaneous magnetization in the face-centered-cubic Ising lattice. Our findings demonstrate that the results obtained from the analytic relation in this study are highly consistent with those derived from Monte Carlo simulations.