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.

arXiv comment7 pages, 16 figures

References in corpus (13)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Critical behavior of the three-dimensional XY universality class
• Ising Universality in Three Dimensions: A Monte Carlo Study
• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• 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
• Cluster Analysis and Finite-Size Scaling for Ising Spin Systems
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• Universal Finite-Size-Scaling Functions
• CUDA programs for GPU computing of Swendsen-Wang multi-cluster spin flip algorithm: 2D and 3D Ising, Potts, and XY models
• A generalized GPU-based connected component labeling algorithm

Cited by in corpus (4)

• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Hyper-optimized approximate contraction of tensor networks with arbitrary geometry
• Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin $S$
• Multicanonical Sampling of the Space of States of H(2,n)-Vector Models