Universal spatial correlations in random spinor fields
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.
Cite
@article{arxiv.1108.2652,
title = {Universal spatial correlations in random spinor fields},
author = {Juan Diego Urbina and Michael Wimmer and Dominik Bauernfeind and Diego Espitia and Inanc Adagideli and Klaus Richter},
journal= {arXiv preprint arXiv:1108.2652},
year = {2013}
}
Comments
4 pages, 4 figures