1,884 research outputs found
Holographic Superconductor/Insulator Transition at Zero Temperature
We analyze the five-dimensional AdS gravity coupled to a gauge field and a
charged scalar field. Under a Scherk-Schwarz compactification, we show that the
system undergoes a superconductor/insulator transition at zero temperature in
2+1 dimensions as we change the chemical potential. By taking into account a
confinement/deconfinement transition, the phase diagram turns out to have a
rich structure. We will observe that it has a similarity with the RVB
(resonating valence bond) approach to high-Tc superconductors via an emergent
gauge symmetry.Comment: 25 pages, 23 figures; A new subsection on a concrete string theory
embedding added, references added (v2); Typos corrected, references added
(v3
Holographic Superconductors in a Cohesive Phase
We consider a four-dimensional N=2 gauged supergravity coupled to matter
fields. The model is obtained by a U(1) gauging of a charged hypermultiplet and
therefore it is suitable for the study of holographic superconductivity. The
potential has a topologically flat direction and the parameter running on this
"moduli space" labels the new superconducting black holes. Zero temperature
solutions are constructed and the phase diagram of the theory is studied. The
model has rich dynamics. The retrograde condensate is just a special case in
the new class of black holes. The calculation of the entanglement entropy makes
manifest the properties of a generic solution and the superconductor at zero
temperature is in a confined cohesive phase. The parameter running on the
topologically flat direction is a marginal coupling in the dual field theory.
We prove this statement by considering the way double trace deformations are
treated in the AdS/CFT correspondence. Finally, we comment on a possible
connection, in the context of gauge/gravity dualities, between the geometry of
the scalar manifold in N=2 supergravity models and the space of marginal
deformations of the dual field theory.Comment: 32 pages, 11 figures. Introduction rewritten and clarified, comments
and details on section 4 added, acknowledgements rectified. To appear in JHE
Holographic Conductivity in Disordered Systems
The main purpose of this paper is to holographically study the behavior of
conductivity in 2+1 dimensional disordered systems. We analyze probe D-brane
systems in AdS/CFT with random closed string and open string background fields.
We give a prescription of calculating the DC conductivity holographically in
disordered systems. In particular, we find an analytical formula of the
conductivity in the presence of codimension one randomness. We also
systematically study the AC conductivity in various probe brane setups without
disorder and find analogues of Mott insulators.Comment: 43 pages, 28 figures, latex, references added, minor correction
Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
We investigate the behavior of entanglement entropy across the holographic
p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a
negative cosmological constant. The holographic entanglement entropy is
calculated for a strip geometry at AdS boundary. It is found that the
entanglement entropy undergoes a dramatic change as we tune the ratio of the
gravitational constant to the Yang-Mills coupling, and that the entanglement
entropy does behave as the thermal entropy of the background black holes. That
is, the entanglement entropy will show the feature of the second order or first
order phase transition when the ratio is changed. It indicates that the
entanglement entropy is a good probe to investigate the properties of the
holographic phase transition.Comment: 19 pages,15 figures, extended discussion in Sec.5, references adde
Holographic Studies of Entanglement Entropy in Superconductors
We present the results of our studies of the entanglement entropy of a
superconducting system described holographically as a fully back-reacted
gravity system, with a stable ground state. We use the holographic prescription
for the entanglement entropy. We uncover the behavior of the entropy across the
superconducting phase transition, showing the reorganization of the degrees of
freedom of the system. We exhibit the behaviour of the entanglement entropy
from the superconducting transition all the way down to the ground state at
T=0. In some cases, we also observe a novel transition in the entanglement
entropy at intermediate temperatures, resulting from the detection of an
additional length scale.Comment: 21 pages, 14 figures. v2:Clarified some remarks concerning stability.
v3: Updated to the version that appears in JHE
Universal scaling properties of extremal cohesive holographic phases
We show that strongly-coupled, translation-invariant holographic IR phases at
finite density can be classified according to the scaling behaviour of the
metric, the electric potential and the electric flux introducing four critical
exponents, independently of the details of the setup. Solutions fall into two
classes, depending on whether they break relativistic symmetry or not. The
critical exponents determine key properties of these phases, like thermodynamic
stability, the (ir)relevant deformations around them, the low-frequency scaling
of the optical conductivity and the nature of the spectrum for electric
perturbations. We also study the scaling behaviour of the electric flux through
bulk minimal surfaces using the Hartnoll-Radicevic order parameter, and
characterize the deviation from the Ryu-Takayanagi prescription in terms of the
critical exponents.Comment: v4: corrected a typo in eqn (3.29), now (3.28). Conclusions unchange
Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
We argue that the entanglement entropy offers us a useful coarse-grained
entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy
remains vanishing even when a black hole is created in a gravity dual, being
consistent with the fact that its corresponding CFT is described by a
time-dependent pure state. We analytically calculate the time evolution of
entanglement entropy for a free Dirac fermion on a circle following a quantum
quench. This is interpreted as a toy holographic dual of black hole creations
and annihilations. It is manifestly free from the black hole information
problem.Comment: 25 pages, Latex, 8 figure
Boundary entropy of supersymmetric Janus solutions
In this paper we compute the holographic boundary entropy for half-BPS Janus
deformations of the vacuum of type IIB
supergravity. Previous work \cite{Chiodaroli:2009yw} has shown that there are
two independent deformations of this sort. In one case, the six-dimensional
dilaton jumps across the interface, while the other case displays a jump of
axion and four-form potential. In case of a jump of the six-dimensional
dilaton, it is possible to compare the holographic result with the
weak-coupling result for a two-dimensional interface CFT where the radii of the
compactified bosons jump across the interface. We find exact agreement between
holographic and CFT results. This is to be contrasted with the holographic
calculation for the non-supersymmetric Janus solution, which agrees with the
CFT result only at the leading order in the jump parameter. We also examine the
implications of the holographic calculation in case of a solution with a jump
in the axion, which can be associated with a deformation of the CFT by the
-orbifold twist operator.Comment: 35 pages, pdf-LaTeX, 5 figures, v2: minor changes, typos corrected,
reference adde
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 Aspects of Two-charged Dilatonic Black Hole in AdS5
We study certain features of a strongly coupled theory whose gravitational
dual is given by two-charge dilatonic black hole in AdS5 which has recently
been used to study holographic Fermi liquids. By making use of the gravity
description, we have studied conductivity, holographic entanglement entropy and
dynamics of a charged scalar field. In particular at low energy we find that
the temperature dependence of the real part of the conductivity goes as T^3 and
the background is stable against scalar condensations.Comment: 20 pages, 5 figures, V2: Refs. adde
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