28 research outputs found
Drude model and Lifshitz formula
Since nearly 10 years, it is known that inserting the permittivity of the
Drude model into the Lifshitz formula for free energy causes a violation of the
third law of thermodynamics. In this paper we show that the standard Matsubara
formulation for free energy contains a contribution that is non-perturbative in
the relaxation parameter. We argue that the correct formula must have a
perturbative expansion and conclude that the standard Matsubara formulation
with the permittivity of the Drude model inserted is not correct. We trace the
non-perturbative contribution in the complex frequency plane, where it shows up
as a self-intersection or a bifurcation of the integration path.Comment: accepted for publication in EPJ
Disordered Josephson Junctions of d-Wave Superconductors
We study the Josephson effect between weakly coupled d-wave superconductors
within the quasiclassical theory, in particular, the influence of interface
roughness on the current-phase relation and the critical current of mirror
junctions and asymmetric junctions. For mirror junctions the
temperature dependence of the critical current is non-monotonic in the limit of
low roughness, but monotonic for very rough interfaces. For
asymmetric junctions with a linear dimension much larger than the
superconducting coherence length we find a -like current-phase
relation, whereas for contacts on the scale of the coherence length or smaller
the usual -like behavior is observed. Our results compare well with
recent experimental observations.Comment: 10 pages, 12 figures; accepted for publication in Phys. Rev.
Effect of diffusive boundaries on surface superconductivity in unconventional superconductors
Boundary conditions for a superconducting order parameter at a diffusive
scattering boundary are derived from microscopic theory. The results indicate
that for all but isotropic gap functions the diffusive boundary almost
completely suppresses surface superconductivity in the Ginzburg-Landau regime.
This indicates that in anisotropic superconductors surface superconductivity
can only be observed for surface normals along high symmetry directions where
atomically clean surfaces can be cleaved.Comment: Latex File, 12 pages, 2 Postscript figures, to appear in Phys. Rev. B
(June 1 1996
Interface effects on the shot noise in normal metal- d-wave superconductor Junctions
The current fluctuation in normal metal / d-wave superconductor junctions are
studied for various orientation of the crystal by taking account of the spatial
variation of the pair potentials. Not only the zero-energy Andreev bound states
(ZES) but also the non-zero energy Andreev bound states influence on the
properties of differential shot noise. At the tunneling limit, the noise power
to current ratio at zero voltage becomes 0, once the ZES are formed at the
interface. Under the presence of a subdominant s-wave component at the
interface which breaks time-reversal symmetry, the ratio becomes 4eComment: 13 pages, 3 figure
Theory of c-axis Josephson tunneling in d-wave superconductors
The temperature and angular dependence of the c-axis Josephson current and
the superfluid density in layered d-wave superconductors are studied within the
framework of an extended Ambegaokar-Baratoff formalism. In particular, the
effects of angle-dependent tunneling matrix elements and Andreev scattering at
grain boundaries are taken into account. These lead to strong corrections of
the low-temperature behavior of the plasma frequency and the Josephson current.
Recent c-axis measurements on the cuprate high-temperature superconductors
HgBa_2CaCu_{1+\delta} and Bi_2Sr_2CaCu_2O_{8+\delta} can therefore be
interpreted to be consistent with a d-wave order parameter.Comment: Revtex, 4 pages with 4 eps figures, to appear in PRB R
Disappearance of Ensemble-Averaged Josephson Current in Dirty SNS Junctions of d-wave Superconductors
We discuss the Josephson current in superconductor / dirty normal conductor /
superconductor junctions, where the superconductors have pairing
symmetry. The low-temperature behavior of the Josephson current depends on the
orientation angle between the crystalline axis and the normal of the junction
interface. We show that the ensemble-averaged Josephson current vanishes when
the orientation angle is and the normal conductor is in the diffusive
transport regime. The -wave pairing symmetry is responsible for
this fact.Comment: 8 pages, 5 figure
Influence of impurity scattering on tunneling conductance in normal metal- d -wave superconductor junctions
Tunneling conductance spectra between a normal metal / d-wave superconductor
junction under the presence of bulk impurities in the superconductor are
studied. The quasiclassical theory has been applied to calculate the spatial
variation of the pair potential and the effect of impurity scattering has been
introduced by t-matrix approximation. The magnitude of a subdominant s-wave
component at the interface is shown to robust against the impurity scattering
while that for a subdominant -wave component is largely suppressed with
the increase of the impurity scattering rate. The zero-bias conductance peak
due to the zero-energy Andreev bound states is significantly broadened for the
case of Born limit impurity compared with that of unitary limit impurity.Comment: 14 pages, 5 figure
Josephson current in s-wave superconductor / Sr_2RuO_4 junctions
The Josephson current between an s-wave and a spin-triplet superconductor
SrRuO (SRO) is studied theoretically. In spin-singlet / spin-triplet
superconductor junctions, there is no Josephson current proportional to in the absence of the spin-flip scattering near junction interfaces,
where is a phase-difference across junctions. Thus a dominant term of
the Josephson current is proportional to . The spin-orbit
scattering at the interfaces gives rise to the Josephson current proportional
to , which is a direct consequence of the chiral paring symmetry in
SRO
Local and macroscopic tunneling spectroscopy of Y(1-x)CaxBa2Cu3O(7-d) films: evidence for a doping dependent is or idxy component in the order parameter
Tunneling spectroscopy of epitaxial (110) Y1-xCaxBa2Cu3O7-d films reveals a
doping dependent transition from pure d(x2-y2) to d(x2-y2)+is or d(x2-y2)+idxy
order parameter. The subdominant (is or idxy) component manifests itself in a
splitting of the zero bias conductance peak and the appearance of subgap
structures. The splitting is seen in the overdoped samples, increases
systematically with doping, and is found to be an inherent property of the
overdoped films. It was observed in both local tunnel junctions, using scanning
tunneling microscopy (STM), and in macroscopic planar junctions, for films
prepared by either RF sputtering or laser ablation. The STM measurements
exhibit fairly uniform splitting size in [110] oriented areas on the order of
10 nm2 but vary from area to area, indicating some doping inhomogeneity. U and
V-shaped gaps were also observed, with good correspondence to the local
faceting, a manifestation of the dominant d-wave order parameter
Josephson current in superconductor-ferromagnet structures with a nonhomogeneous magnetization
We calculate the dc Josephson current for two types of
superconductor-ferromagnet (S/F) Josephson junctions. The junction of the first
type is a S/F/S junction. On the basis of the Eilenberger equation, the
Josephson current is calculated for an arbitrary impurity concentration. If the expression for the Josephson critical current is reduced
to that which can be obtained from the Usadel equation ( is the exchange
energy, is the momentum relaxation time). In the opposite limit
the superconducting condensate oscillates with period and
penetrates into the F region over distances of the order of the mean free path
. For this kind of junctions we also calculate in the case when the F
layer presents a nonhomogeneous (spiral) magnetic structure with the period
. It is shown that for not too low temperatures, the -state which
occurs in the case of a homogeneous magnetization (Q=0) may disappear even at
small values of . In this nonhomogeneous case, the superconducting
condensate has a nonzero triplet component and can penetrate into the F layer
over a long distance of the order of . The junction
of the second type consists of two S/F bilayers separated by a thin insulating
film. It is shown that the critical Josephson current depends on the
relative orientation of the effective exchange field of the bilayers. In
the case of an antiparallel orientation, increases with increasing .
We establish also that in the F film deposited on a superconductor, the
Meissner current created by the internal magnetic field may be both diamagnetic
or paramagnetic.Comment: 13 pages, 11 figures. To be published in Phys. Rev.