title: Universal spatial correlations in random spinor fields.
abstract: We identify universal spatial fluctuations in systems with nontrivial spin dynamics. To this end we calculate by exact numerical diagonalization a variety of experimentally relevant correlations between spinor amplitudes, spin polarizations, and spin currents, both in the bulk and near the boundary of a confined two-dimensional clean electron gas in the presence of spin-orbit interaction. We support our claim of universality with the excellent agreement between the numerical results and system-independent spatial correlations of a random field defined on both the spatial and spin degrees of freedom. A rigorous identity relating our universal predictions with response functions provides a direct physical interpretation of our results in the framework of linear response theory.
authors.affiliation: Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.
authors.forename: Juan Diego
authors.initials: JD
authors.lastname: Urbina
authors.forename: Michael
authors.initials: M
authors.lastname: Wimmer
authors.forename: Dominik
authors.initials: D
authors.lastname: Bauernfeind
authors.forename: Diego
authors.initials: D
authors.lastname: Espitia
authors.forename: İnanç
authors.initials: İ
authors.lastname: Adagideli
authors.forename: Klaus
authors.initials: K
authors.lastname: Richter