Curie temperature for an Ising model on Archimedean lattices

TL;DR

This paper calculates the critical Curie temperatures for the Ising model on five Archimedean lattices using Monte Carlo simulations, providing specific transition points for each lattice type.

Contribution

It offers the first systematic evaluation of Curie temperatures for the Ising model on these five Archimedean lattices using Monte Carlo methods.

Findings

Curie temperatures range from 1.25 to 2.80 [J/k_B] across the lattices.

Monte Carlo simulations effectively determine critical transition points.

Provides data for five specific Archimedean lattices.

Abstract

Critical temperatures for the ferro-paramagnetic transition in the Ising model are evaluated for five Archimedean lattices, basing on Monte Carlo simulations. The obtained Curie temperatures are 1.25, 1.40, 1.45, 2.15 and 2.80 [J/k_B] for (3,12^2), (4,6,12), (4,8^2), (3,4,6,4) and (3^4,6) lattices, respectively.