25 research outputs found
Non-linear effects on the holographic free energy and thermodynamic geometry
We have analytically investigated the effects of non-linearity on the free
energy and thermodynamic geometry of holographic superconductors in dimensions. The non-linear effect is introduced by considering the coupling
of the massive charged scalar field with Born-Infeld electrodynamics. We then
calculate the relation between critical temperature and charge density from two
different methods, namely, the matching method and the divergence of the scalar
curvature which is obtained by investigating the thermodynamic geometry of the
model. The two results are slightly different from numerical values but the
effects of non-linearity gets captured in our analysis.Comment: 11 pages Latex, some corrections made in the manuscrip
Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
In this paper, we analytically investigate the properties of holographic
superconductors in higher dimensions in the framework of Born-Infeld
electrodynamics taking into account the backreaction of the spacetime using the
Sturm-Liouville eigenvalue method. In the background of pure Einstein and
Gauss-Bonnet gravity, based on a perturbative approach, we obtain the relation
between the critical temperature and the charge density. Higher value of the
backreaction and Born-Infeld parameters result in a harder condensation to form
in both cases. The analytical results are found to agree with the existing
numerical results. We also derive an expression for the condensation operator
in -dimensions which yields the critical exponent to be .Comment: 21 pages Latex, To appear in Eur.Phys.J.
Path integral action of a particle in -Minkowski spacetime
In this letter, we derive the path integral action of a particle in
-Minkowski spacetime. The equation of motion for an arbitrary potential
due to the -deformation of the Minkowski spacetime is then obtained.
The action contains a dissipative term which owes its origin to the
-Minkowski deformation parameter . We take the example of the
harmonic oscillator and obtain the frequency of oscillations in the path
integral approach as well as operator approach upto the first order in the
deformation parameter . For studying this, we start with the
-deformed dispersion relation which is invariant under the undeformed
-Poincar algebra and take the non-relativistic limit of the
-deformed dispersion relation to find the Hamiltonian. The propagator
for the free particle in the -Minkowski spacetime is also computed
explicitly. In the limit, , the commutative results are
recovered.Comment: 5 pages, To appear in Euro.Phys. Let
Holographic entanglement thermodynamics for higher dimensional charged black hole
In this paper, we have investigated the entanglement thermodynamics for
-dimensional charged black hole by studying the holographic
entanglement entropy in different cases. We have first computed the holographic
entanglement entropy in extremal and non-extremal cases in two different
regimes, namely, the low temperature and high temperature limits. We then
obtain the first law of entanglement thermodynamics for boundary field theory
in the low temperature regime in -dimensions.Comment: 28 pages Late
Noncommutative effects of spacetime on holographic superconductors
The Sturm-Liouville eigenvalue method is employed to analytically investigate
the properties of holographic superconductors in higher dimensions in the
framework of Born-Infeld electrodynamics incorporating the effects of
noncommutative spacetime. In the background of pure Einstein gravity in
noncommutative spacetime, we obtain the relation between the critical
temperature and the charge density. We also obtain the value of the
condensation operator and the critical exponent. Our findings suggest that
higher the value of noncommutative parameter and Born-Infeld parameter make the
condensate harder to form. We also observe that the critical temperature
depends on the mass of the black hole and higher value of black hole mass is
favourable for the formation of the condensate.Comment: 12 pages Late
Effect of magnetic field on holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity
In this paper, we have investigated the effect of magnetic field numerically
as well as analytically for holographic insulator/superconductor phase
transition in higher dimensional Gauss-Bonnet gravity. First we have analysed
the critical phenomena with magnetic field using two different numerical
methods, namely, quasinormal modes method and the shooting method. Then we have
carried out our calculation analytically using the Strm-Liouville
eigenvalue method. The methods show that marginally stable modes emerge at
critical values of the chemical potential and the magnetic field satisfying the
relation . We observe that the value of the chemical
potential and hence the value of increases with higher values of the
Gauss-Bonnet parameter and dimension of spacetime for a fixed mass of the
scalar field. This clearly indicates that the phase transition from insulator
to superconductor becomes difficult in the presence of the magnetic field for
higher values of the Gauss-Bonnet parameter and dimension of spacetime. Our
analytic results are in very good agreement with our numerical results.Comment: 14 pages, 3 figure
Fermi arc in -wave holographic superconductors
We have investigated the fermionic spectral function in -wave holographic
superconductors. We show that the vector model with minimal coupling reveals a
-wave spectral function with Fermi arc. This should be contrasted with the
previous investigation where -wave arc was demonstrated in the presence of a
tensor field. We study the momentum dependent order parameter, the -gap
in the real part of the conductivity and the fermion spectral function. In
addition, we juxtapose the fermionic spectral gap with the order parameter in
the holographic set. We demonstrate the impact of coupling constants,
temperature and chemical potential on the spectral function.Comment: 21 pages, 13 figure
Order parameter and spectral function in -wave holographic superconductors
We consider the -wave holographic superconductor model with full
backreaction on the metric, addressing a missing part in the literature. We
have identified the corrected order parameter by comparing the fermionic
spectral function with the momentum-dependent order parameter. By numerical
investigations of the fermionic spectral function in the presence of a tensor
condensate, we find the Fermi arc and the gapped behavior, which closely
resemble ARPES data. Moreover, we have examined the influence of the coupling
constant, chemical potential, and temperature on the spectral function. We find
that -wave fermionic spectral function can be obtained through and
condensates combined with two fermion flavors. Similarly, combining
and orbitals symmetry with two fermion flavors leads to
a -wave spectral function.Comment: 20 pages, 10 figure