The spin of holographic electrons at nonzero density and temperature
Abstract
We study the Green's function of a gauge invariant fermionic operator in a strongly coupled field theory at nonzero temperature and density using a dual gravity description. The gravity model contains a charged black hole in four dimensional antide Sitter space and probe charged fermions. In particular, we consider the effects of the spin of these probe fermions on the properties of the Green's function. There exists a spinorbit coupling between the spin of an electron and the electric field of a ReissnerNordstrom black hole. On the field theory side, this coupling leads to a Rashba like dispersion relation. We also study the effects of spin on the damping term in the dispersion relation by considering how the spin affects the placement of the fermionic quasinormal modes in the complex frequency plane in a WKB limit. An appendix contains some exact solutions of the Dirac equation in terms of Heun polynomials.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2012
 DOI:
 10.1007/JHEP06(2012)078
 arXiv:
 arXiv:1204.0518
 Bibcode:
 2012JHEP...06..078H
 Keywords:

 Holography and condensed matter physics (AdS/CMT);
 AdSCFT Correspondence;
 Black Holes;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 27 pages, 11 figures