Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses

TL;DR

This paper investigates the distribution of pseudo-critical temperatures in spin glasses using large-scale simulations, demonstrating that finite-size scaling relations effectively describe their behavior.

Contribution

The study provides a detailed finite-size scaling analysis of pseudo-critical temperature distributions in 3D Edwards-Anderson and Sherrington-Kirkpatrick models, supported by extensive numerical data.

Findings

Finite-size scaling relations accurately describe the distributions.

The distributions follow predictable scaling behavior.

Results apply to both short-range and fully connected models.

Abstract

Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick model. We find that the behavior of our data is nicely described by straightforward finite-size scaling relations.