The Spin of Holographic Electrons at Nonzero Density and Temperature

Details The Spin of Holographic Electrons at Nonzero Density and Temperature The Spin of Holographic Electrons at Nonzero Density and Temperature

2012-04-02

arxiv.org/abs/1204.0518v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 11 figures

Scientific paper

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 anti-de 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 spin-orbit coupling between the spin of an electron and the electric field of a Reissner-Nordstrom 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.

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