Random matrix theory for closed quantum dots with weak spin-orbit coupling
Mesoscale and Nanoscale Physics
2009-11-07 v2
Abstract
To lowest order in the coupling strength, the spin-orbit coupling in quantum dots results in a spin-dependent Aharonov-Bohm flux. This flux decouples the spin-up and -down random matrix theory ensembles of the quantum dot. We employ this ensemble and find significant changes in the distribution of the Coulomb blockade peak height, in particular a decrease of the width of the distribution. The puzzling disagreement between standard random matrix theory and the experimental distributions by Patel et al. might possibly be attributed to these spin-orbit effects.
Cite
@article{arxiv.cond-mat/0208177,
title = {Random matrix theory for closed quantum dots with weak spin-orbit coupling},
author = {K. Held and E. Eisenberg and B. L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/0208177},
year = {2009}
}
Comments
4 pages, 3 figures (4 files), material on inelastic scattering with spin-orbit coupling added