English

Universal Spectral Correlation between Hamiltonians with Disorder

Condensed Matter 2009-10-22 v1

Abstract

We study the correlation between the energy spectra of two disordered Hamiltonians of the form Ha=H0a+saφH_a=H_{0a}+s_{a}\varphi (a=1,2a=1,2) with H0aH_{0a} and φ\varphi drawn from random distributions. We calculate this correlation function explicitly and show that it has a simple universal form for a broad class of random distributions.

Cite

@article{arxiv.cond-mat/9311046,
  title  = {Universal Spectral Correlation between Hamiltonians with Disorder},
  author = {E. Brézin and École Normale Superieure and A. Zee},
  journal= {arXiv preprint arXiv:cond-mat/9311046},
  year   = {2009}
}

Comments

9 pages, Jnl.tex Version 0.3 (version taken from the bulletin board), NSF-ITP-93-136

R2 v1 2026-07-22T11:46:39.431Z