Universal spatial correlations in random spinor fields
Urbina, Juan Diego and Wimmer, Michael and Bauernfeind, Dominik and Espitia, Diego and Adagideli, İnanç and Richter, Klaus (2013) Universal spatial correlations in random spinor fields. Physical Review E, 87 (4). ISSN 1539-3755 (Print) 1550-2376 (Online)
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Official URL: http://dx.doi.org/10.1103/PhysRevE.87.042115
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.
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