Weak universality of spin-glass transitions in three-dimensional $\pm J$ models

TL;DR

This paper investigates the weak universality of spin-glass phase transitions in three-dimensional $ ext{±}J$ models, revealing similar critical exponent ratios across different spin types and connecting findings to experimental data.

Contribution

It demonstrates the potential weak universality of spin-glass transitions in 3D $ ext{±}J$ models using nonequilibrium relaxation and finite-time scaling methods.

Findings

Critical exponent ratio $eta/ u ext{~} 2.4$ across models

Finite-temperature phase transitions in Ising, XY, and Heisenberg models

Results align with experimental observations

Abstract

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional $\pm J$ models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents $\gamma/\nu \sim 2.4$. Evaluated critical exponents may explain corresponding experimental results. The analyses are based upon nonequilibrium relaxation from a paramagnetic state and finite-time scaling.