Enhanced mesoscopic fluctuations in the crossover between random matrix ensembles

Details Enhanced mesoscopic fluctuations in the crossover between random matrix ensembles Enhanced mesoscopic fluctuations in the crossover between random matrix ensembles

2002-02-28

arxiv.org/abs/cond-mat/0203002v1

Phys. Rev. B 66, 165310 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTeX; 3 figures

Scientific paper

10.1103/PhysRevB.66.165310

In random-matrix ensembles that interpolate between the three basic ensembles (orthogonal, unitary, and symplectic), there exist correlations between elements of the same eigenvector and between different eigenvectors. We study such correlations, using a remarkable correspondence between the interpolating ensembles late in the crossover and a basic ensemble of finite size. In small metal grains or semiconductor quantum dots, the correlations between different eigenvectors lead to enhanced fluctuations of the electron-electron interaction matrix elements which become parametrically larger than the non-universal fluctuations.

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