Random matrix theory explores nonuniversal eigenvalue correlations in disordered conductors, suggesting implications for physical systems.
The eigenvalue correlation functions of the Laguerre ensembles (exponential ensembles) of real symmetric and self-dual quaternion random matrices are calculated. It is shown that in certain intervals of the spectrum the renormalized correlations are not universal. A physical example in the transmission spectrum of a disordered conductor where such nonuniversality occurs is given.
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Nagao et al. (1993) studied this question.
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