Anisotropic Fermi surface from holography
arXiv:1409.6062 · doi:10.1103/PhysRevD.91.126009
Abstract
We investigate the probe holographic fermions by using an anisotropic charged black brane solution. We derive the equation of motion of probe bulk fermions with one Fermi momentum along the anisotropic and one along the isotropic directions. We then numerically solve the equation and analyze the properties of Green function with these two momentums. We find in this case the shape of Fermi surface is anisotropic. However, for both Fermi momentums perpendicular to the anisotropic direction, the Fermi surface is isotropic. We verify that our system obeys the recently conjectured bound for thermoelectric diffusion constants for the stable branch of the black brane solutions.
21 pages, many figures, diffusion bound discussed, PRD in press
References in corpus (11)
- Theory of universal incoherent metallic transport
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Real-time response in AdS/CFT with application to spinors
- Critical fermi surfaces and non-fermi liquid metals
- Theory of a continuous Mott transition in two dimensions
- Anisotropic plasma at finite chemical potential
- Anisotropic plasma with a chemical potential and scheme-independent instabilities
- Anomalous transport phenomena in Weyl metal beyond the Drude model for Landau's Fermi liquids
- Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole
- Holographic fermions in charged Gauss-Bonnet black hole
- Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation