Multiscaling in the 3D critical site-diluted Ising ferromagnet

TL;DR

This paper investigates multiscaling phenomena in the 3D site-diluted Ising ferromagnet at criticality, revealing multifractal distributions of correlation decay exponents through numerical analysis.

Contribution

It provides the first numerical evidence of multiscaling in the 3D critical site-diluted Ising model by analyzing higher moments of correlation functions.

Findings

Clear evidence of multiscaling behavior in the model

Multifractal distribution of decay exponents observed

Higher moments up to the 10th power analyzed

Abstract

We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at the critical temperature. We have computed the exponents of the long-distance decay of higher moments of the correlation function, up to the 10th power, by studying three different quantities: global susceptibilities, local susceptibilities and correlation functions. We have found very clear evidences for multiscaling behavior.