New evidence for super-roughening in crystalline surfaces with disordered substrate

TL;DR

This paper provides numerical evidence that disordered crystalline surfaces exhibit super-roughening behavior at large scales, indicating a broken phase with persistent non-Gaussian correlations.

Contribution

The study demonstrates that the non-Gaussian behavior in disordered substrate crystalline surfaces persists at large scales, supporting the super-roughening phase hypothesis.

Findings

Non-Gaussian behavior persists at large scales

Evidence of super-roughening phase in disordered surfaces

Broken phase characterized by long-range correlations

Abstract

We study the behavior of the Binder cumulant related to long distance correlation functions of the discrete Gaussian model of disordered substrate crystalline surfaces. We exhibit numerical evidence that the non-Gaussian behavior in the low-$T$ region persists on large length scales, in agreement with the broken phase being super-rough.