Low Temperature Properties of Finite Dimensional Ising Spin Glasses : (some) Numerical Simulations

TL;DR

This paper reviews recent numerical simulations of finite dimensional Ising spin glasses, analyzing their low temperature properties and comparing different theoretical models to experimental results.

Contribution

It provides a comparative analysis of numerical simulation results with various theoretical models of spin glasses at low temperatures.

Findings

Results support the Droplet Model in certain regimes

Numerical data show consistency with Replica Symmetry Breaking in some aspects

Low temperature phase exhibits complex behavior aligning with multiple theories

Abstract

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the low temperature properties of the model, and contrast them with different pictures of the low temperature phase of spin glasses: Replica Symmetry Breaking, Droplet Model and Trivial-Not-Trivial Scenario.