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École Normale Superieure

Publications and source records attributed to École Normale Superieure.

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Universal Spectral Correlation between Hamiltonians with Disorder

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.

cond-mat↗