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

K. Held·E. Eisenberg·B. L. Altshuler
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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.

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K. Held, E. Eisenberg, B. L. Altshuler. 2003-03-21. Random matrix theory for closed quantum dots with weak spin-orbit coupling. https://doi.org/10.1103/physrevlett.90.106802

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