Random matrix theory for closed quantum dots with weak spin-orbit coupling

Details Random matrix theory for closed quantum dots with weak spin-orbit coupling Random matrix theory for closed quantum dots with weak spin-orbit coupling

2002-08-08

arxiv.org/abs/cond-mat/0208177v2

Phys. Rev. Lett. 90, 106802 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures (4 files), material on inelastic scattering with spin-orbit coupling added

Scientific paper

10.1103/PhysRevLett.90.106802

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.

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