How spin-orbit interaction can cause electronic shot noise

Abstract

The shot noise in the electrical current through a ballistic chaotic quantum dot with N-channel point contacts is suppressed for N --> infinity, 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_{so}/lambda_F of spin precession length l_{so} and Fermi wave length lambda_F, and present computer simulations in a two-dimensional billiard geometry (Lyapunov exponent alpha, mean dwell time tau_{dwell}, point contact width W) to demonstrate the scaling (lambda_F/l_{so})^{1/alpha tau_{dwell}} of the shot noise in the regime lambda_F << l_{so} << W.

4 pages, 3 figures

References in corpus (13)

• The Rashba Hamiltonian and electron transport
• Stochastic Path Integral Formulation of Full Counting Statistics
• Spin-Orbit Coupling, Antilocalization, and Parallel Magnetic Fields in Quantum Dots
• Shot noise in chaotic systems: "classical" to quantum crossover
• Shot noise in semiclassical chaotic cavities
• The role of orbital dynamics in spin relaxation and weak antilocalization in quantum dots
• Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities
• Weak localization and conductance fluctuations of a chaotic quantum dot with tunable spin-orbit coupling
• Dynamical model for the quantum-to-classical crossover of shot noise
• Noiseless scattering states in a chaotic cavity
• Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport
• Spin-dependent transport of electrons in the presence of smooth lateral barrier and spin-orbit interaction
• Quantum-to-Classical Crossover in Full Counting Statistics

Cited by in corpus (4)

• Shot Noise of Spin-Decohering Transport in Spin-Orbit Coupled Nanostructures
• Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
• What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
• The effect of symmetry class transitions on the shot noise in chaotic quantum dots