Tempering simulations in the four dimensional +-J Ising spin glass in a magnetic field

TL;DR

This paper investigates the four-dimensional ±J Ising spin glass in a magnetic field using simulated tempering, analyzing order parameter moments and susceptibility to identify phase transition characteristics.

Contribution

It applies the simulated tempering method to 4D spin glasses in a magnetic field and provides bounds on the critical temperature based on numerical analysis.

Findings

Finite cusp observed in spin-glass susceptibility.

Strong tendency towards paramagnetic ordering at low temperatures.

Bound on the critical temperature for the phase transition.

Abstract

We study the four dimensional (4D) $\pm J$ Ising spin glass in a magnetic field by using the simulated tempering method recently introduced by Marinari and Parisi. We compute numerically the first four moments of the order parameter probability distribution $P(q)$. We find a finite cusp in the spin-glass susceptibility and strong tendency to paramagnetic ordering at low temperatures. Assuming a well defined transition we are able to bound its critical temperature.