Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries
Condensed Matter
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9609081,
title = {Eigenfunctions of electrons in weakly disordered quantum dots: Crossover between orthogonal and unitary symmetries},
author = {E. Kanzieper and V. Freilikher},
journal= {arXiv preprint arXiv:cond-mat/9609081},
year = {2009}
}
Comments
6 pages (latex), 3 figures available upon request, to appear in Physical Review B