Physical Review Letters

Critical Behavior in Disordered Quantum Systems Modified by Broken Time-Reversal Symmetry

Mahir Saleh Hussein, Mauricio Porto Pato

Published Feb 2, 1998• 22 citations

Abstract

It is shown that the maximum entropy principle provides a natural basis for construction of an interpolating ensemble between any pair of the universality classes of random matrix theory. As an application, the Gaussian unitary ensemble to Gaussian orthogonal ensemble transition is worked out in detail. Transitions from these two ensembles to a Poisson distribution, of relevance to the metal-insulator transition in disordered metals, is also discussed in detail and the ``universal critical ensemble'' was found to depend on the time-reversal symmetry.

DOI: 10.1103/physrevlett.80.1003

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