Chiral Random Band Matrices at Zero Energy

TL;DR

This paper introduces a specific model of chiral random band matrices that simplifies the proof of the Fyodorov and Mirlin -conjecture at zero energy, advancing understanding in random matrix theory.

Contribution

The paper provides a new, simplified approach to proving the Fyodorov and Mirlin -conjecture for a special class of chiral random band matrices at zero energy.

Findings

Established the -conjecture at zero energy for the model.

Simplified the proof process for the conjecture.

Enhanced understanding of spectral properties of chiral random band matrices.

Abstract

We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin $\sqrt{N}$-conjecture can be established very simply.