Universal spectral correlation between hamiltonians with disorder II

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Abstract

We calculate the cross-correlation function between the eigenvalues of two random hermitian matrices taken from separate gaussian ensembles. In the limit of large matrices the correlation, when suitably smoothed, reproduces a previous result obtained by diagrammatic methods. Unlike previous results, however, this unsmoothed correlation function may be studied at short distances. © 1995.

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D’Anna, J., Brézin, E., & Zee, A. (1995). Universal spectral correlation between hamiltonians with disorder II. Nuclear Physics, Section B, 443(3), 433–443. https://doi.org/10.1016/0550-3213(95)00065-Z

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