Comment on "Nonzero Fermi Level Density of States for a Disordered d-wave superconductor in 2D" by Ziegler et al. PRL 77, 3013 (1996)

TL;DR

This paper critiques Ziegler et al.'s claim that 2D Dirac fermions in a random gauge potential have a finite zero-energy density of states, highlighting flaws in their methodological approach.

Contribution

It provides a critical analysis showing that the approach used by Ziegler et al. does not align with established perturbation theory results.

Findings

The critique identifies inconsistencies in Ziegler et al.'s methodology.

It emphasizes the importance of correct perturbation theory application.

The paper clarifies the zero-energy density of states issue in disordered 2D Dirac systems.

Abstract

In their paper Ziegler et al. claim that the model of 2D Dirac fermions in a random gauge potential has a finite density of states at zero energy. We point out that the approach used in this paper fails to reproduce the perturbation theory results for this problem.