Critical Behavior of the 4D Spin Glass in Magnetic Field

TL;DR

This paper reports numerical simulations of a 4D spin glass model with binary couplings, providing evidence for a phase transition and preliminary critical exponent estimates amidst finite size effects.

Contribution

It offers new numerical insights into the critical behavior of 4D spin glasses, including preliminary critical exponents and analysis of various susceptibilities and distributions.

Findings

Evidence for a spin glass phase transition in 4D

Preliminary estimates of critical exponents

Analysis of susceptibilities and probability distributions

Abstract

We present numerical simulations of the 4D Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite size effects, suggest the existence of a spin glass phase transition. We present a preliminar determination of critical exponents. We discuss spin glass susceptibilities, cumulants of the overlap and energy overlap probability distributions, finite size effects, and the behavior of the disorder dependent and of the integrated probability distribution.