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19 April 2024
 
  » arxiv » 1108.2652

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Universal spatial correlations in random spinor fields
Juan Diego Urbina ; Michael Wimmer ; Dominik Bauernfeind ; Diego Espitia ; Inanc Adagideli ; Klaus Richter ;
Date 12 Aug 2011
AbstractWe 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.
Source arXiv, 1108.2652
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