2012
Goykhman, Mikhail; Parnachev, Andrei; Zaanen, Jan
Fluctuations in finite density holographic quantum liquids Tijdschriftartikel
In: JOURNAL OF HIGH ENERGY PHYSICS, nr. 10, 2012, ISSN: 1029-8479.
Abstract | Links | BibTeX | Tags: Gauge-gravity correspondence; Intersecting branes models; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
@article{WOS:000310851800022,
title = {Fluctuations in finite density holographic quantum liquids},
author = {Mikhail Goykhman and Andrei Parnachev and Jan Zaanen},
doi = {10.1007/JHEP10(2012)045},
issn = {1029-8479},
year = {2012},
date = {2012-10-01},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
number = {10},
publisher = {SPRINGER},
address = {233 SPRING ST, NEW YORK, NY 10013 USA},
abstract = {We study correlators of the global U(1) currents in holographic models which involve N = 4 SYM coupled to the finite density matter in the
probe brane sector. We find the spectral density associated with the
longitudinal response to be exhausted by the zero sound pole and argue
that this could be consistent with the behavior of Fermi liquid with
vanishing Fermi velocity. However the transversal response shows an
unusual momentum independent behavior. Inclusion of magnetic field leads
to a gap in the dispersion relation for the zero sound mode propagating
in the plane of magnetic field. For small values of the magnetic field B
the gap in the spectrum scales linearly with B, which is consistent with
Kohn's theorem for nonrelativistic fermions with pairwise interaction.
We do not find signatures of multiple Landau levels expected in Landau
Fermi liquid theory. We also consider the influence of generic higher
derivative corrections on the form of the spectral function.},
keywords = {Gauge-gravity correspondence; Intersecting branes models; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)},
pubstate = {published},
tppubtype = {article}
}
We study correlators of the global U(1) currents in holographic models which involve N = 4 SYM coupled to the finite density matter in the
probe brane sector. We find the spectral density associated with the
longitudinal response to be exhausted by the zero sound pole and argue
that this could be consistent with the behavior of Fermi liquid with
vanishing Fermi velocity. However the transversal response shows an
unusual momentum independent behavior. Inclusion of magnetic field leads
to a gap in the dispersion relation for the zero sound mode propagating
in the plane of magnetic field. For small values of the magnetic field B
the gap in the spectrum scales linearly with B, which is consistent with
Kohn's theorem for nonrelativistic fermions with pairwise interaction.
We do not find signatures of multiple Landau levels expected in Landau
Fermi liquid theory. We also consider the influence of generic higher
derivative corrections on the form of the spectral function.
probe brane sector. We find the spectral density associated with the
longitudinal response to be exhausted by the zero sound pole and argue
that this could be consistent with the behavior of Fermi liquid with
vanishing Fermi velocity. However the transversal response shows an
unusual momentum independent behavior. Inclusion of magnetic field leads
to a gap in the dispersion relation for the zero sound mode propagating
in the plane of magnetic field. For small values of the magnetic field B
the gap in the spectrum scales linearly with B, which is consistent with
Kohn's theorem for nonrelativistic fermions with pairwise interaction.
We do not find signatures of multiple Landau levels expected in Landau
Fermi liquid theory. We also consider the influence of generic higher
derivative corrections on the form of the spectral function.