Comment on ``Critical Behavior in Disordered Quantum Systems Modified by Broken Time--Reversal Symmetry''

TL;DR

This paper critiques a recent application of the maximum entropy principle to model spectral transitions in disordered quantum systems, highlighting issues with the proposed methodology.

Contribution

It provides a critical analysis of the use of maximum entropy principle in modeling spectral transitions, identifying problems in the previous approach.

Findings

Highlights issues with the maximum entropy principle application

Questions the validity of interpolating ensembles for spectral transitions

Provides insights into spectral statistics in disordered quantum systems

Abstract

In a recent Letter [Phys. Rev. Lett. 80, 1003 (1998)] Hussein and Pato employed the maximum entropy principle (MEP) in order to derive interpolating ensembles between any pair of universality classes in random matrix theory. They apply their formalism also to the transition from random matrix to Poisson statistics of spectra that is observed for the case of the Anderson-type metal-insulator transition. We point out the problems with the latter procedure.