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Universal Spectral Correlation between Hamiltonians with Disorder

E. Brézin·École Normale Superieure·A. Zee
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Abstract

We study the correlation between the energy spectra of two disordered Hamiltonians of the form $H_a=H_{0a}+s_{a}φ$ ($a=1,2$) with $H_{0a}$ and $φ$ 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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E. Brézin, École Normale Superieure, A. Zee. 1993-11-18. Universal Spectral Correlation between Hamiltonians with Disorder. https://doi.org/10.1016/0550-3213(94)90401-4

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