Europhys. Lett.
Volume 76, Number 1, October 2006
Page(s) 115 - 120
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 30 August 2006
Europhys. Lett., 76 (1), pp. 115-120 (2006)
DOI: 10.1209/epl/i2006-10228-0

How spin-orbit interaction can cause electronic shot noise

A. Ossipov1, J. H. Bardarson1, J. Tworzydlo2, M. Titov3 and C. W. J. Beenakker1

1  Instituut-Lorentz, Universiteit Leiden - P.O. Box 9506 2300 RA Leiden, The Netherlands
2  Institute of Theoretical Physics, Warsaw University Hoza 69, 00-681 Warsaw, Poland
3  Department of Physics, Konstanz University - D-78457 Konstanz, Germany

received 12 June 2006; accepted in final form 7 August 2006
published online 30 August 2006

The shot noise in the electrical current through a ballistic chaotic quantum dot with N-channel point contacts is suppressed for $N\rightarrow\infty$, because of the transition from stochastic scattering of quantum wave packets to deterministic dynamics of classical trajectories. The dynamics of the electron spin remains quantum mechanical in this transition, and can affect the electrical current via spin-orbit interaction. We explain how the role of the channel number N in determining the shot noise is taken over by the ratio $l_\textrm{so}/\lambda_{F}$ of spin precession length l</I>so and Fermi wavelength $\lambda_{F}$, and present computer simulations in a two-dimensional billiard geometry (Lyapunov exponent $\alpha$, mean dwell time $\tau_\textrm{dwell}$, point contact width W) to demonstrate the scaling $\ensuremath{\propto(\lambda_{F}/l_\textrm{so})^{1/\alpha\tau_\textrm{dwell}}} $ of the shot noise in the regime $\lambda_{F}\ll l_\textrm{so}\ll W$.

73.50.Td - Noise processes and phenomena.
05.40.Ca - Noise.
05.45.Mt - Quantum chaos; semiclassical methods.

© EDP Sciences 2006

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