Large-scale calculation of ferromagnetic spin systems on the pyrochlore lattice

TL;DR

This paper performs large-scale computations of ferromagnetic spin models on the pyrochlore lattice, accurately determining critical temperatures and analyzing finite-size scaling, with comparisons to other lattice structures.

Contribution

It introduces high-performance calculations of multiple classical spin models on the pyrochlore lattice and analyzes their critical behavior and universality.

Findings

Critical temperature accurately determined for the ferromagnetic Ising model.

Evidence of universal finite-size scaling across different lattice types.

Computed classical XY and Heisenberg models on the pyrochlore lattice.

Abstract

We perform the high-performance computation of the ferromagnetic Ising model on the pyrochlore lattice. We determine the critical temperature accurately based on the finite-size scaling of the Binder ratio. Comparing with the data on the simple cubic lattice, we argue the universal finite-size scaling. We also calculate the classical XY model and the classical Heisenberg model on the pyrochlore lattice.