Logarithmic corrections to gap scaling in random-bond Ising strips

TL;DR

This paper analyzes the first gap of the Lyapunov spectrum in a self-dual random-bond Ising model on strips, demonstrating that finite-width corrections follow an inverse logarithmic form due to a marginal operator.

Contribution

It provides numerical evidence that finite-width corrections in the Lyapunov spectrum are well described by an inverse logarithmic form, confirming theoretical predictions.

Findings

Finite-width corrections fit an inverse logarithmic form.

The inverse logarithmic correction is consistent with the presence of a marginal operator.

Numerical analysis supports theoretical predictions for the model.

Abstract

Numerical results for the first gap of the Lyapunov spectrum of the self-dual random-bond Ising model on strips are analysed. It is shown that finite-width corrections can be fitted very well by an inverse logarithmic form, predicted to hold when the Hamiltonian contains a marginal operator.