Study of +/-J Ising Spin Glasses via Multicanonical Ensemble

TL;DR

This paper introduces a multicanonical ensemble simulation method for 2D and 3D Ising spin glasses, enabling efficient calculation of physical quantities across temperatures and analyzing finite size effects.

Contribution

It demonstrates the application of multicanonical ensemble techniques to spin glasses, providing insights into ergodicity times and finite size scaling behaviors.

Findings

Ergodicity times scale approximately as V^3 with lattice size.

Physical quantities can be computed at all temperatures from a single simulation.

Finite size scaling and zero temperature limits are analyzed.

Abstract

We performed numerical simulations of 2D and 3D Edwards-Anderson spin glass models by using the recently developed multicanonical ensemble. Our ergodicity times increase with the lattice size approximately as $V^3$. The energy, entropy and other physical quantities are easily calculable at all temperatures from a single simulation. Their finite size scalings and the zero temperature limits are also explored.