749 research outputs found
Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
We study the charge response in complex frequency plane and the quasi-normal
modes (QNMs) of the boundary quantum field theory with momentum dissipation
dual to a probe generalized Maxwell system with Weyl correction. When the
strength of the momentum dissipation is small, the pole
structure of the conductivity is similar to the case without the momentum
dissipation. The qualitative correspondence between the poles of the real part
of the conductivity of the original theory and the ones of its electromagnetic
(EM) dual theory approximately holds when with
being the Weyl coupling parameter. While the strong momentum
dissipation alters the pole structure such that most of the poles locate at the
purely imaginary axis. At this moment, the correspondence between the poles of
the original theory and its EM dual one is violated when . In addition, for the dominant pole, the EM duality almost holds when
for all except for a small region of
.Comment: 18 pages, 9 figure
Holographic superconductivity from higher derivative theory
We construct a derivative holographic superconductor model in the
-dimensional bulk spacetimes, in which the normal state describes a quantum
critical (QC) phase. The phase diagram and the
condensation as the function of temperature are worked out numerically. We
observe that with the decrease of the coupling parameter , the
critical temperature decreases and the formation of charged scalar
hair becomes harder. We also calculate the optical conductivity. An appealing
characteristic is a wider extension of the superconducting energy gap,
comparing with that of derivative theory. It is expected that this
phenomena can be observed in the real materials of high temperature
superconductor. Also the Homes' law in our present models with and
derivative corrections is explored. We find that in certain range of parameters
and , the experimentally measured value of the universal
constant in Homes' law can be obtained.Comment: 16 pages, 5 figure
Scalar Boundary Conditions in Hyperscaling Violating Geometry
We study the possible boundary conditions of scalar field modes in a
hyperscaling violation(HV) geometry with Lifshitz dynamical exponent and hyperscaling violation exponent . For
the case with , we show that in the parameter range with , the boundary
conditions have different types, including the Neumann, Dirichlet and Robin
conditions, while in the range with , only Dirichlet type
condition can be set. In particular, we further confirm that the mass of the
scalar field does not play any role in determining the possible boundary
conditions for , which has been addressed in Ref. \cite{1201.1905}.
Meanwhile, we also do the parallel investigation in the case with .
We find that for , three types of boundary conditions are available, but
for , only one type is available.Comment: 19 page
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