Numerical Simulations of the 4D Edwards-Anderson Spin Glass with Binary Couplings

TL;DR

This paper provides numerical simulations of the 4D Edwards-Anderson Spin Glass with binary couplings, accurately determining the transition point, critical exponents, and confirming Replica Symmetry Breaking in the low-temperature phase.

Contribution

It offers the first precise numerical determination of the transition point and critical exponents for the 4D EA spin glass with binary couplings, demonstrating Replica Symmetry Breaking.

Findings

Precise transition point and critical exponents determined.

Confirmation of Replica Symmetry Breaking in the low T phase.

Results consistent in large lattice volumes up to 10^4 sites.

Abstract

We present numerical results that allow a precise determination of the transition point and of the critical exponents of the 4D Edwards-Anderson Spin Glass with binary quenched random couplings. We show that the low T phase undergoes Replica Symmetry Breaking. We obtain results on large lattices, up to a volume $V=10^4$: we use finite size scaling to show the relevance of our results in the infinite volume limit.