| Issue |
Europhys. Lett.
Volume 76, Number 1, October 2006
|
|
|---|---|---|
| Page(s) | 115 - 120 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2006-10228-0 | |
| Published online | 30 August 2006 | |
How spin-orbit interaction can cause electronic shot noise
1
Instituut-Lorentz, Universiteit Leiden - P.O. Box 9506 2300 RA Leiden, The Netherlands
2
Institute of Theoretical Physics, Warsaw University Hoża 69, 00-681 Warsaw, Poland
3
Department of Physics, Konstanz University - D-78457 Konstanz, Germany
Received:
12
June
2006
Accepted:
7
August
2006
The shot noise in the electrical current through a ballistic chaotic
quantum dot with N-channel point contacts is suppressed for
, 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 
of spin precession length
and Fermi wavelength 
, and present
computer simulations in a two-dimensional billiard geometry
(Lyapunov exponent α, mean dwell time 
,
point contact width W) to demonstrate the scaling
of the shot noise in the regime 
.
PACS: 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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