title: Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards.
abstract: We show that the wave function and current statistics in chaotic Robnik billiards crucially depend on the constant of the spin-orbit interaction (SOI). For small constant the current statistics is described by universal current distributions derived for slightly opened chaotic billiards [Saichev et al., J. Phys. A 35, L87 (2002)] although one of the components of the spinor eigenfunctions is not universal. For strong SOI both components of the spinor eigenstate are complex random Gaussian fields. This observation allows us to derive the distributions of spin-orbit persistent currents which well describe numerical statistics. For intermediate values of the statistics of the eigenstates and currents, both are deeply nonuniversal.
authors.affiliation: Kirensky Institute of Physics, 660036, Krasnoyarsk, Russia.
authors.forename: Evgeny N
authors.initials: EN
authors.lastname: Bulgakov
authors.forename: Almas F
authors.initials: AF
authors.lastname: Sadreev