Universal spatial correlations in random spinor fields

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

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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.
Original languageEnglish
Article number042115
JournalPhysical Review E
Issue number4
Publication statusPublished - 17 Apr 2013
Externally publishedYes


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