Large-scale calculation of ferromagnetic spin systems 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.

7 pages, 16 figures

References in corpus (5)

• Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
• Non-monotonic zero point entropy in diluted spin ice
• GPU-based Swendsen-Wang multi-cluster algorithm for the simulation of two-dimensional classical spin systems
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• CUDA programs for GPU computing of Swendsen-Wang multi-cluster spin flip algorithm: 2D and 3D Ising, Potts, and XY models

Cited by in corpus (2)

• Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin $S$
• Multicanonical Sampling of the Space of States of H(2,n)-Vector Models