Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-28
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 6 figures; sections 2-3 substantially revised for improved clarity
Scientific paper
We provide new evidence that the holographic dual to a strongly coupled charged Fermi Liquid has a non-zero fermion density in the bulk. We show that the pole-strength of the stable quasiparticle characterizing the Fermi surface is encoded in the spatially averaged AdS probability density of a single normalizable fermion wavefunction in AdS. Recalling Migdal's theorem which relates the pole strength to the Fermi-Dirac characteristic discontinuity in the number density at $\ome_F$, we conclude that the AdS dual of a Fermi liquid is described by occupied on-shell fermionic modes in AdS. Encoding the occupied levels in the total probability density of the fermion field directly, we show that an AdS Reissner-Nordstr\"{o}m black hole in a theory with charged fermions has a critical temperature, at which the system undergoes a first-order transition to a black hole with a non-vanishing profile for the bulk fermion field. Thermodynamics and spectral analysis confirm that the solution with non-zero AdS fermion-profile is the preferred ground state at low temperatures.
Cubrovic Mihailo
Schalm Koenraad
Zaanen Jan
No associations
LandOfFree
Constructing the AdS dual of a Fermi liquid: AdS Black holes with Dirac hair does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Constructing the AdS dual of a Fermi liquid: AdS Black holes with Dirac hair, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructing the AdS dual of a Fermi liquid: AdS Black holes with Dirac hair will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-427633