Random Matrix Theory for Closed Quantum Dots with Weak Spin-Orbit Coupling

K. Held*, E. Eisenberg, B. L. Altshuler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review Letters
Issue number10
StatePublished - 2003
Externally publishedYes


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