Universality in the random-matrix theory of quantum transport | Zendy

C. W. J. Beenakker | Zendy

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Universality in the random-matrix theory of quantum transport

Author(s) -

C. W. J. Beenakker

Publication year - 1993

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.70.1155

Subject(s) - universality (dynamical systems) , random matrix , mesoscopic physics , eigenvalues and eigenvectors , statistical physics , physics , quantum mechanics , mathematical physics , mathematics

A random-matrix formula is derived for the variance of an arbitrary linear statistic on the transmission eigenvalues. The variance is independent of the eigenvalue density and has a universal dependence on the symmetry of the matrix ensemble. The formula generalises the Dyson-Mehta theorem in the statistical theory of energy levels. It demonstrates that the universality of the conductance fluctuations is generic for a whole class of transport properties in mesoscopic systems

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