Universal Spectral Correlation between Hamiltonians with Disorder

Details Universal Spectral Correlation between Hamiltonians with Disorder Universal Spectral Correlation between Hamiltonians with Disorder

1993-11-18

arxiv.org/abs/cond-mat/9311046v1

Physics

Condensed Matter

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

Scientific paper

10.1016/0550-3213(94)90401-4

We study the correlation between the energy spectra of two disordered
Hamiltonians of the form $H_a=H_{0a}+s_{a}\varphi$ ($a=1,2$) with $H_{0a}$ and
$\varphi$ 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.

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