# Domain wall entropy of the bimodal two-dimensional Ising spin glass

## TL;DR

This study investigates the domain wall entropy in the bimodal 2D Ising spin glass at critical ground state, analyzing large system sizes to understand entropy scaling and fractal properties.

## Contribution

It provides large-scale calculations of domain wall entropy and explores its variance scaling, highlighting limitations in determining fractal dimensions.

## Key findings

- Variance of domain wall entropy fits a power law with system size
- Data distribution quality decreases for larger systems
- Fractal dimension of domain walls remains undetermined

## Abstract

We report calculations of the domain wall entropy for the bimodal two-dimensional Ising spin glass in the critical ground state. The L * L system sizes are large with L up to 256. We find that it is possible to fit the variance of the domain wall entropy to a power function of L. However, the quality of the data distributions are unsatisfactory with large L > 96. Consequently, it is not possible to reliably determine the fractal dimension of the domain walls.