Three dimensional Ising models: Equations for Spontaneous Magnetization and Critical Temperature

TL;DR

This paper derives heuristic equations for spontaneous magnetization in 3D Ising models across various lattices, accurately estimating critical temperatures that align well with recent simulation data.

Contribution

It introduces heuristic equations for 3D Ising models' spontaneous magnetization and provides accurate critical temperature estimates for multiple lattice types.

Findings

Critical temperature estimates match recent simulation data

Equations derived heuristically for different 3D lattices

Applicable to simple cubic, face-centered cubic, body-centered cubic, and diamond lattices

Abstract

The equations for the spontaneous magnetization for different three-dimensional lattices have been derived in a heuristic manner. The estimated critical temperatures for simple cubic, face-centered cubic, body-centered cubic and diamond lattices are in excellent agreement with recent computer simulation data.