Abstract
The shot noise in the electrical current through a ballistic chaotic quantum dot with N-channel point contacts is suppressed for N → ∞, 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 lso/λF of spin precession length lso and Fermi wavelength λF, and present computer simulations in a two-dimensional billiard geometry (Lyapunov exponent α, mean dwell time τdwell point contact width W) to demonstrate the scaling ∝ (λF/lso)1/ατdwell of the shot noise in the regime λF ≪ lso ≪ W.