Random matrix theory for closed quantum dots with weak spin-orbit coupling.
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 spin-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. [Phys. Rev. Lett. 81, 5900 (1998)]] might possibly be attributed to these spin-orbit effects.
Held
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Physics Department, Princeton University, Princeton, New Jersey 08544, USA. k.held@fkf.mpg.de
Eisenberg
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Altshuler
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