Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries

Details Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries

1996-09-09

arxiv.org/abs/cond-mat/9609081v1

Physical Review B 54, 8737 (1996)

Physics

Condensed Matter

6 pages (latex), 3 figures available upon request, to appear in Physical Review B

Scientific paper

10.1103/PhysRevB.54.8737

A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitrary magnetic field. Comparison of the statistics obtained with recent results derived from first principles within the framework of supersymmetry technique allows to identify a transition parameter with real microscopic characteristics of the problem. The random-matrix model is applied to the statistics of the height of the resonance conductance of a quantum dot in the regime of the crossover between orthogonal and unitary symmetry classes.

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