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arXiv · 1108.2652

Universal spatial correlations in random spinor fields

Juan Diego Urbina·Michael Wimmer·Dominik Bauernfeind·Diego Espitia·Inanc Adagideli·Klaus Richter
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Abstract

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.

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Juan Diego Urbina, Michael Wimmer, Dominik Bauernfeind, Diego Espitia, Inanc Adagideli, Klaus Richter. 2011-08-12. Universal spatial correlations in random spinor fields. https://doi.org/10.1103/physreve.87.042115

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