Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot

Benjámin Béri, J. Cserti

Research output: Article

3 Citations (Scopus)

Abstract

We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of random matrix theory including the parametric dependence on the magnetic field and spin-orbit coupling. The result is interpreted in terms of spin singlet and triplet Cooperon modes of conventional diagrammatic perturbation theory. As simple applications, we obtained the weak localization correction to the conductance, the shot noise power, and the third cumulant of the distribution of the transmitted charge.

Original languageEnglish
Article number235314
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume74
Issue number23
DOIs
Publication statusPublished - 2006

Fingerprint

Shot noise
Semiconductor quantum dots
Orbits
eigenvalues
quantum dots
Magnetic fields
orbits
matrix theory
shot noise
magnetic fields
perturbation theory

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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abstract = "We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of random matrix theory including the parametric dependence on the magnetic field and spin-orbit coupling. The result is interpreted in terms of spin singlet and triplet Cooperon modes of conventional diagrammatic perturbation theory. As simple applications, we obtained the weak localization correction to the conductance, the shot noise power, and the third cumulant of the distribution of the transmitted charge.",
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AB - We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of random matrix theory including the parametric dependence on the magnetic field and spin-orbit coupling. The result is interpreted in terms of spin singlet and triplet Cooperon modes of conventional diagrammatic perturbation theory. As simple applications, we obtained the weak localization correction to the conductance, the shot noise power, and the third cumulant of the distribution of the transmitted charge.

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