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

  • K. Held*
  • , E. Eisenberg
  • , B. L. Altshuler
  • *Corresponding author for this work
  • Princeton University
  • NEC Corporation

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The effect of weak spin-orbit coupling on closed quantum dots in the presence of a perpendicular magnetic field which breaks the time-reversal symmetry was analyzed. In this regime which can be realized for quantum dots, the spin-orbit coupling does not lead to one nondegenerate Gaussian unitary ensembles (GUE) ensemble but to two independent GUEs for spin-up and spin-down electrons. This brings important consequences particularly at low temperatures, as there was no level repulsion for levels with opposite spins.

Original languageEnglish
Article number106802
Pages (from-to)106802/1-106802/4
JournalPhysical Review Letters
Volume90
Issue number10
StatePublished - 14 Mar 2003
Externally publishedYes

Funding

Funders
Army Research Office
Defense Advanced Research Projects Agency
Alexander von Humboldt-Stiftung

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