Universal spatial correlations in random spinor fields
  We identify universal spatial fluctuations in systems with non trivial 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 and a single magnetic impurity. We support or 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. 
Juan Diego Urbina, Michael Wimmer, Dominik Bauernfeind, Diego Espitia,   Inanc Adagideli and Klaus Richter
cond-mat.mes-hall nlin.CD quant-ph