1,463 research outputs found
Charged Dilatonic AdS Black Branes in Arbitrary Dimensions
We study electromagnetically charged dilatonic black brane solutions in
arbitrary dimensions with flat transverse spaces, that are asymptotically AdS.
This class of solutions includes spacetimes which possess a bulk region where
the metric is approximately invariant under Lifshitz scalings. Given fixed
asymptotic boundary conditions, we analyze how the behavior of the bulk up to
the horizon varies with the charges and derive the extremality conditions for
these spacetimes.Comment: References update
Conductivity and quasinormal modes in holographic theories
We show that in field theories with a holographic dual the retarded Green's
function of a conserved current can be represented as a convergent sum over the
quasinormal modes. We find that the zero-frequency conductivity is related to
the sum over quasinormal modes and their high-frequency asymptotics via a sum
rule. We derive the asymptotics of the quasinormal mode frequencies and their
residues using the phase-integral (WKB) approach and provide analytic insight
into the existing numerical observations concerning the asymptotic behavior of
the spectral densities.Comment: 24 pages, 3 figure
Sum Rules from an Extra Dimension
Using the gravity side of the AdS/CFT correspondence, we investigate the
analytic properties of thermal retarded Green's functions for scalars,
conserved currents, the stress tensor, and massless fermions. We provide some
results concerning their large and small frequency behavior and their pole
structure. From these results, it is straightforward to prove the validity of
various sum rules on the field theory side of the duality. We introduce a novel
contraction mapping we use to study the large frequency behavior of the Green's
functions.Comment: v2: 23 pages (plus appendix), revised presentation, discussion of
branch cuts moved to appendix, and some minor changes; v1: 24 pages (plus
appendix
A holographic model for the fractional quantum Hall effect
Experimental data for fractional quantum Hall systems can to a large extent
be explained by assuming the existence of a modular symmetry group commuting
with the renormalization group flow and hence mapping different phases of
two-dimensional electron gases into each other. Based on this insight, we
construct a phenomenological holographic model which captures many features of
the fractional quantum Hall effect. Using an SL(2,Z)-invariant
Einstein-Maxwell-axio-dilaton theory capturing the important modular
transformation properties of quantum Hall physics, we find dyonic diatonic
black hole solutions which are gapped and have a Hall conductivity equal to the
filling fraction, as expected for quantum Hall states. We also provide several
technical results on the general behavior of the gauge field fluctuations
around these dyonic dilatonic black hole solutions: We specify a sufficient
criterion for IR normalizability of the fluctuations, demonstrate the
preservation of the gap under the SL(2,Z) action, and prove that the
singularity of the fluctuation problem in the presence of a magnetic field is
an accessory singularity. We finish with a preliminary investigation of the
possible IR scaling solutions of our model and some speculations on how they
could be important for the observed universality of quantum Hall transitions.Comment: 86 pages, 16 figures; v.2 references added, typos fixed, improved
discussion of ref. [39]; v.3 more references added and typos fixed, several
statements clarified, v.4 version accepted for publication in JHE
Entangled Dilaton Dyons
Einstein-Maxwell theory coupled to a dilaton is known to give rise to
extremal solutions with hyperscaling violation. We study the behaviour of these
solutions in the presence of a small magnetic field. We find that in a region
of parameter space the magnetic field is relevant in the infra-red and
completely changes the behaviour of the solution which now flows to an
attractor. As a result there is an extensive ground state
entropy and the entanglement entropy of a sufficiently big region on the
boundary grows like the volume. In particular, this happens for values of
parameters at which the purely electric theory has an entanglement entropy
growing with the area, , like which is believed to be a
characteristic feature of a Fermi surface. Some other thermodynamic properties
are also analysed and a more detailed characterisation of the entanglement
entropy is also carried out in the presence of a magnetic field. Other regions
of parameter space not described by the end point are also
discussed.Comment: Some comments regarding comparison with weakly coupled Fermi liquid
changed, typos corrected and caption of a figure modifie
Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
We study the two-point function for fermionic operators in a class of
strongly coupled systems using the gauge-gravity correspondence. The gravity
description includes a gauge field and a dilaton which determines the gauge
coupling and the potential energy. Extremal black brane solutions in this
system typically have vanishing entropy. By analyzing a charged fermion in
these extremal black brane backgrounds we calculate the two-point function of
the corresponding boundary fermionic operator. We find that in some region of
parameter space it is of Fermi liquid type. Outside this region no well-defined
quasi-particles exist, with the excitations acquiring a non-vanishing width at
zero frequency. At the transition, the two-point function can exhibit non-Fermi
liquid behaviour.Comment: 52 pages, 6 figures. v3: Appendix F added showing numerical
interpolation between the near-horizon region and AdS4. Additional minor
comments also adde
Effective Holographic Theories for low-temperature condensed matter systems
The IR dynamics of effective holographic theories capturing the interplay
between charge density and the leading relevant scalar operator at strong
coupling are analyzed. Such theories are parameterized by two real exponents
that control the IR dynamics. By studying the thermodynamics,
spectra and conductivities of several classes of charged dilatonic black hole
solutions that include the charge density back reaction fully, the landscape of
such theories in view of condensed matter applications is characterized.
Several regions of the plane can be excluded as the extremal
solutions have unacceptable singularities. The classical solutions have
generically zero entropy at zero temperature, except when where
the entropy at extremality is finite. The general scaling of DC resistivity
with temperature at low temperature, and AC conductivity at low frequency and
temperature across the whole plane, is found. There is a
codimension-one region where the DC resistivity is linear in the temperature.
For massive carriers, it is shown that when the scalar operator is not the
dilaton, the DC resistivity scales as the heat capacity (and entropy) for
planar (3d) systems. Regions are identified where the theory at finite density
is a Mott-like insulator at T=0. We also find that at low enough temperatures
the entropy due to the charge carriers is generically larger than at zero
charge density.Comment: (v3): Added discussion on the UV completion of the solutions, and on
extremal spectra in the charged case. Expanded discusion on insulating
extremal solutions. Many other refinements and corrections. 126 pages. 48
figure
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