On the Four-Dimensional Diluted Ising Model

TL;DR

This paper presents numerical evidence that the four-dimensional Diluted Ising Model with high dilution does not follow mean field theory, indicating a possible new fixed point with non-Gaussian critical exponents.

Contribution

It provides strong numerical evidence challenging the mean field description of the model, suggesting the existence of a new universality class.

Findings

The model's critical behavior deviates from mean field predictions.

Indications of a new fixed point with non-Gaussian exponents.

Results imply a different universality class for high dilution.

Abstract

In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model for a large dilution is not described by the Mean Field exponents. These results suggest the existence of a new fixed point with non-gaussian exponents.