2011
Cubrovic, Mihailo; Zaanen, Jan; Schalm, Koenraad
Constructing the AdS dual of a Fermi liquid: AdS black holes with Dirac hair Tijdschriftartikel
In: JOURNAL OF HIGH ENERGY PHYSICS, nr. 10, 2011, ISSN: 1029-8479.
Abstract | Links | BibTeX | Tags: Black Holes in String Theory; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
@article{WOS:000296917100017,
title = {Constructing the AdS dual of a Fermi liquid: AdS black holes with Dirac
hair},
author = {Mihailo Cubrovic and Jan Zaanen and Koenraad Schalm},
doi = {10.1007/JHEP10(2011)017},
issn = {1029-8479},
year = {2011},
date = {2011-10-01},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
number = {10},
publisher = {SPRINGER},
address = {233 SPRING ST, NEW YORK, NY 10013 USA},
abstract = {We provide 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 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 omega(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 spatially
averaged probability density of the fermion field directly, we show that
an AdS Reissner-Nordstrom 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 support that the
solution with non-zero AdS fermion-profile is the preferred ground state
at low temperatures.},
keywords = {Black Holes in String Theory; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)},
pubstate = {published},
tppubtype = {article}
}
We provide 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 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 omega(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 spatially
averaged probability density of the fermion field directly, we show that
an AdS Reissner-Nordstrom 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 support that the
solution with non-zero AdS fermion-profile is the preferred ground state
at low temperatures.
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 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 omega(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 spatially
averaged probability density of the fermion field directly, we show that
an AdS Reissner-Nordstrom 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 support that the
solution with non-zero AdS fermion-profile is the preferred ground state
at low temperatures.