Numerical signs for a transition in the 2d Random Field Ising Model at T=0

TL;DR

This paper presents numerical evidence for a phase transition in the 2D Random Field Ising Model at zero temperature, identifying a critical disorder strength through finite size scaling analysis.

Contribution

The study provides the first detailed numerical analysis indicating a transition point in the 2D RFIM at T=0, comparing results with existing theories and avalanche studies.

Findings

Transition at sigma_c= 0.64 +/- 0.08 identified

Finite size scaling supports the existence of a phase transition

Results align with some theoretical predictions and avalanche behavior

Abstract

Intensive numerical studies of exact ground states of the 2-d ferromagnetic random field Ising model at T=0 with gaussian distribution of fields are presented. Standard finite size scaling analysis of the data suggests the existence of a transition at sigma_c= 0.64 +/- 0.08. Results are compared with existing theories and with the study of metastable avalanches in the same model.