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

E. Kanzieper·V. Freilikher
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Abstract

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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E. Kanzieper, V. Freilikher. 1996-09-09. Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries. https://doi.org/10.1103/physrevb.54.8737

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