Weak Universality of Spin Glasses in Three Dimensions

TL;DR

This paper suggests that different three-dimensional spin-glass models exhibit similar critical behavior, indicating weak universality, with critical exponents aligning with experimental observations.

Contribution

It demonstrates the weak universality of spin-glass phase transitions in three dimensions across different models using nonequilibrium relaxation and finite-time scaling.

Findings

Critical exponent ratio γ/ν=2.4 for Ising, XY, and Heisenberg models.

Critical exponents agree with experimental results.

Finite-temperature phase transitions observed in all models.

Abstract

We point out a possibility of the weak universality of spin-glass phase transitions in three dimensions. The Ising, the XY, and the Heisenberg models with $\pm J$ bond distributions undergo finite-temperature phase transitions with a ratio of critical exponents $\gamma/\nu=2.4$. Evaluated critical exponents agree with corresponding experimental results. The analyses are based upon the nonequilibrium relaxation from the paramagnetic state and the finite-time scaling.