Universal Spectral Correlation between Hamiltonians with Disorder

Abstract

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

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

References in corpus (3)

• Correlation Functions in Disordered Systems
• Universality of Brezin and Zee's Spectral Correlator
• Dyson's Brownian Motion and Universal Dynamics of Quantum Systems

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