112 research outputs found
Two-fluid description of two-band superconductors
We present a systematic study of the response properties of two-band
(multi-gap) superconductors with spin-singlet (s-wave) pairing correlations,
which are assumed to be caused by both intraband (\lambda_{ii}, i=1,2) and
interband (\lambda_{12}) pairing interactions. In this first of three planned
publications we concentrate on the properties of such superconducting systems
in global and local thermodynamic equilibrium, the latter including weak
perturbations in the stationary long-wavelength limit. The discussion of global
thermodynamic equilibrium must include the solution (analytical in the
Ginzburg-Landau and the low temperature limit) of the coupled self-consistency
equations for the two energy gaps \Delta_i(T), i=1,2. These solutions allow to
study non-universal behavior of the two relevant BCS-M\"uhlschlegel parameters,
namely the specific heat discontinuity \Delta C/C_N and the zero temperature
gaps \Delta_i(0)/\pi k_B T_c, i=1,2. The discussion of a local equilibrium
situation includes the calculation of the supercurrent density as a property of
the condensate, and the calculation of both the specific heat capacity and the
spin susceptibility as properties of the gas of thermal excitations in the
spirit of a microscopic two-fluid description. Non-monotonic behavior in the
temperature dependences of the gaps and all these local response functions is
predicted to occur particularly for very small values of the interband
pair-coupling constant \lambda_{12}.Comment: 22 pages, 8 figure
Response, relaxation and transport in unconventional superconductors
We investigate the collision-limited electronic Raman response and the
attenuation of ultrasound in spin-singlet d-wave superconductors at low
temperatures. The dominating elastic collisions are treated within a t-matrix
approximation, which combines the description of weak (Born) and strong
(unitary) impurity scattering. In the long wavelength limit a two-fluid
description of both response and transport emerges. Collisions are here seen to
exclusively dominate the relaxational dynamics of the (Bogoliubov)
quasiparticle system and the analysis allows for a clear connection of response
and transport phenomena. When applied to quasi-2-d superconductors like the
cuprates, it turns out that the transport parameter associated with the Raman
scattering intensity for B1g and B2g photon polarization is closely related to
the corresponding components of the shear viscosity tensor, which dominates the
attenuation of ultrasound. At low temperatures we present analytic solutions of
the transport equations, resulting in a non-power-law behavior of the transport
parameters on temperature.Comment: 22 pages, 3 figure
Electronic Raman response in anisotropic metals
Using a generalized response theory we derive the electronic Raman response
function for metals with anisotropic relaxation rates. The calculations account
for the long--range Coulomb interaction and treat the collision operator within
a charge conserving relaxation time approximation. We extend earlier treatments
to finite wavenumbers () and incorporate inelastic
electron--electron scattering besides elastic impurity scattering. Moreover we
generalize the Lindhard density response function to the Raman case. Numerical
results for the quasiparticle scattering rate and the Raman response function
for cuprate superconductors are presented.Comment: 5 pages, 4figures. accepted in PRB (Brief Report), in pres
Quasiparticle relaxation rate and shear viscosity of superfluid 3He-A_1 at low temperatures
Quasiparticle relaxation rate,, and the shear viscosity tensor
of the A_1-phase of superfluid 3He are calculated at low temperatures and
melting pressure, by using Boltzmann equation approach in momentum space. The
collision integral is written in terms of inscattering and outscattering
collision integrals. The interaction between normal and Bogoliubov
quasiparticles is considered in calculating transition probabilities in the
binary, decay and coalescence processes. We obtain that both
and are proportional to
>. The shear viscosities , and are
proportional to . The constant of proportionality of the shear
viscosity tensor is in nearly good agreement with the experimental results of
Roobol et al., and our exact theoretical calculation.Comment: 8 pages, some typos were correcte
Nodes of the Gap Function and Anomalies in Thermodynamic Properties of Superfluid He
Departures of thermodynamic properties of three-dimensional superfluid He
from the predictions of BCS theory are analyzed. Attention is focused on
deviations of the ratios and
from their BCS values, where is the pairing gap at zero
temperature, is the critical temperature, and and are the
superfluid and normal specific heats. We attribute these deviations to the
momentum dependence of the gap function , which becomes well
pronounced when this function has a pair of nodes lying on either side of the
Fermi surface. We demonstrate that such a situation arises if the P-wave
pairing interaction , evaluated at the Fermi surface, has a sign
opposite to that anticipated in BCS theory. Taking account of the momentum
structure of the gap function, we derive a closed relation between the two
ratios that contains no adjustable parameters and agrees with the experimental
data. Some important features of the effective pairing interaction are inferred
from the analysis.Comment: 17 pages, 4 figure
Surface Roughness and Effective Stick-Slip Motion
The effect of random surface roughness on hydrodynamics of viscous
incompressible liquid is discussed. Roughness-driven contributions to
hydrodynamic flows, energy dissipation, and friction force are calculated in a
wide range of parameters. When the hydrodynamic decay length (the viscous wave
penetration depth) is larger than the size of random surface inhomogeneities,
it is possible to replace a random rough surface by effective stick-slip
boundary conditions on a flat surface with two constants: the stick-slip length
and the renormalization of viscosity near the boundary. The stick-slip length
and the renormalization coefficient are expressed explicitly via the
correlation function of random surface inhomogeneities. The effective
stick-slip length is always negative signifying the effective slow-down of the
hydrodynamic flows by the rough surface (stick rather than slip motion). A
simple hydrodynamic model is presented as an illustration of these general
hydrodynamic results. The effective boundary parameters are analyzed
numerically for Gaussian, power-law and exponentially decaying correlators with
various indices. The maximum on the frequency dependence of the dissipation
allows one to extract the correlation radius (characteristic size) of the
surface inhomogeneities directly from, for example, experiments with torsional
quartz oscillators.Comment: RevTeX4, 14 pages, 3 figure
Mass coupling and ^3$He in a torsion pendulum
We present results of the and period shift, , for He
confined in a 98% nominal open aerogel on a torsion pendulum. The aerogel is
compressed uniaxially by 10% along a direction aligned to the torsion pendulum
axis and was grown within a 400 m tall pancake (after compression) similar
to an Andronikashvili geometry. The result is a high pendulum able to
resolve and mass coupling of the impurity-limited He over the
whole temperature range. After measuring the empty cell background, we filled
the cell above the critical point and observe a temperature dependent period
shift, , between 100 mK and 3 mK that is 2.9 of the period shift
(after filling) at 100 mK. The due to the He decreases by an order
of magnitude between 100 mK and 3 mK at a pressure of bar. We
compare the observable quantities to the corresponding calculated and
period shift for bulk He.Comment: 8 pages, 3 figure
The symmetry of the superconducting order parameter in PuCoGa
The symmetry of the superconducting order parameter in single-crystalline
PuCoGa ( K) is investigated via zero- and transverse-
field muon spin relaxation (SR) measurements, probing the possible
existence of orbital and/or spin moments (time reversal-symmetry violation TRV)
associated with the superconducting phase and the in-plane magnetic-field
penetration depth in the mixed state, respectively. We find no
evidence for TRV, and show that the superfluid density, or alternatively,
, are for . Taken together these measurements are consistent with an even-parity
(pseudo-spin singlet), d-wave pairing state.Comment: 4 pages, 5 figure
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