Exactly solvable random matrix models with additional two-body interactions

K.A.Muttalib

Exactly solvable random matrix models with additional two-body interactions

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arxiv cond-mat/9405084 v1 pith:TVVOY3UC submitted 1994-05-27 cond-mat

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classification cond-mat

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It has been argued that despite remarkable success, existing random matrix theories are not adequate to describe disordered conductors in the metallic regime, due to the presence of certain two-body interactions in the effective Hamiltonian for the eigenvalues, in addition to the standard logarithmic interaction that arises entirely from symmetry considerations. We present a new method that allows exact solution of random matrix models with such additional two-body interactions. This should broaden the scope of random matrix models in general.

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