Phase Transition in 3d Heisenberg Spin Glasses with Strong Random Anisotropies, through a Multi-GPU Parallelization

TL;DR

This paper investigates the phase transitions in 3D anisotropic Heisenberg spin glasses, revealing a unified transition in the universality class of Ising spin glasses, using large-scale GPU simulations to control finite-size effects.

Contribution

It introduces large-scale GPU parallelization to study phase transitions in anisotropic Heisenberg spin glasses, highlighting the importance of finite-size effects.

Findings

Identifies a single phase transition for spin and chiral glass sectors.

Shows the transition belongs to the Ising spin glass universality class.

Demonstrates the effectiveness of GPU clusters in simulating large spin systems.

Abstract

We characterize the phase diagram of anisotropic Heisenberg spin glasses, finding both the spin and the chiral glass transition. We remark the presence of strong finite-size effects on the chiral sector. We find a unique phase transition for the chiral and spin glass sector, in the Universality class of Ising spin glasses. We focus on keeping finite-size effects under control, and we stress that they are important to understand experiments. Thanks to large GPU clusters we have been able to thermalize cubic lattices with up to 64x64x64 spins, over a vast range of temperatures.