428 research outputs found
Dissipative Phase Fluctuations In A Superconductor In Proximity To An Electron Gas
We study a two-dimensional superconductor in close proximity to a
two-dimensional metallic sheet. The electrons in the superconducting sheet are
coupled to those in the metallic sheet by the Coulomb interaction only. We
obtain an effective phase-only action for the superconductor by integrating out
all the electronic degrees of freedom in the problem. The Coulomb drag of the
normal electrons in the metallic sheet is found to make the spectrum of
phase-fluctuations in the superconductor, dissipative at long wavelengths. The
dissipative co-efficient is shown to be simply related to the normal
state conductivities of the superconducting layer ()and the metallic
sheet () by the relation .Comment: 11 pages; To appear in Int. Jour. of Mod. Phys.
Fluctuation Effects And Order Parameter Symmetry In The Cuprate Superconductors
Effect of phase fluctuations on superconducting states with anisotropic order
parameters is studied in a BCS like lattice model of cuprate superconductors.
The degradation of the mean field transition temperature due to phase
fluctuations is estimated within a Kosterlitz-Thouless scenario. Values of the
interaction parameters for optimal doping, corresponding to a stable
superconducting state of symmetry, which fit the nodal structure of
the superconducting order parameter in the Bi2212 compound, are obtained. The
angular position of the node is found to be insensitive to the dopant
concentration.Comment: Latex file, 8 output pages, 5 figures (available from Authors on
request), to appear in Europhysics Letter
A pulse size estimation method for reduced-order models
Model-Order Reduction (MOR) is an important technique that allows Reduced-Order Models (ROMs) of physical systems to be generated that can capture the dominant dynamics, but at lower cost than the full order system. One approach to MOR that has been successfully implemented in fluid dynamics is the Eigensystem Realization Algorithm (ERA). This method requires only minimal changes to the inputs and outputs of a CFD code so that the linear responses of the system to unit impulses on each input channel can be extracted. One of the challenges with the method is to specify the size of the input pulse. An inappropriate size may cause a failure of the code to converge due to non-physical behaviour arising during the solution process. This paper addresses this issue by using piston theory to estimate the appropriate input pulse size
Friedel-crafts reaction. Part IX. The action of propionic and butyric anhydrides on orcinol and further evidence of λ-substitution in resorcinol derivatives
This article does not have an abstract
Effective Vortex Mass from Microscopic Theory
We calculate the effective mass of a single quantized vortex in the BCS
superconductor at finite temperature. Based on effective action approach, we
arrive at the effective mass of a vortex as integral of the spectral function
divided by over frequency. The spectral function is
given in terms of the quantum-mechanical transition elements of the gradient of
the Hamiltonian between two Bogoliubov-deGennes (BdG) eigenstates. Based on
self-consistent numerical diagonalization of the BdG equation we find that the
effective mass per unit length of vortex at zero temperature is of order (=Fermi momentum, =coherence length), essentially
equaling the electron mass displaced within the coherence length from the
vortex core. Transitions between the core states are responsible for most of
the mass. The mass reaches a maximum value at and decreases
continuously to zero at .Comment: Supercedes prior version, cond-mat/990312
Travelling waves in a drifting flux lattice
Starting from the time-dependent Ginzburg-Landau (TDGL) equations for a type
II superconductor, we derive the equations of motion for the displacement field
of a moving vortex lattice without inertia or pinning. We show that it is
linearly stable and, surprisingly, that it supports wavelike long-wavelength
excitations arising not from inertia or elasticity but from the
strain-dependent mobility of the moving lattice. It should be possible to image
these waves, whose speeds are a few \mu m/s, using fast scanning tunnelling
microscopy.Comment: 4 pages, revtex, 2 .eps figures imbedded in paper, title shortened,
minor textual change
Thyroid hormones And [<SUP>14</SUP>C] glucose metabolism in bacteria
The effects of triiodothyronine and thyroxine on metabolism and growth of bacteria were studied. It was observed that over a certain range of concentration thyroxine and triiodothyronine produced increase in 14CO2 release from [14C]-labeled glucose and also stimulated bacteria growth
Phase Diagram of the Half-Filled Extended Hubbard Model in Two Dimensions
We consider an extended Hubbard model of interacting fermions on a lattice.
The fermion kinetic energy corresponds to a tight binding Hamiltonian with
nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements.
In addition to the onsite Hubbard interaction (U) we also consider a nearest
neighbour repulsion (V). We obtain the zero temperature phase diagram of our
model within the Hartree-Fock approximation. We consider ground states having
charge and spin density wave ordering as well as states with orbital
antiferromagnetism or spin nematic order. The latter two states correspond to
particle-hole binding with symmetry in the charge and spin
channels respectively. For , only the charge density wave and spin
density wave states are energetically stable. For non-zero t', we find that
orbital antiferromagnetism (or spin nematic) order is stable over a finite
portion of the phase diagram at weak coupling. This region of stability is seen
to grow with increasing values of t'.Comment: Latex file, 10 output pages, 3 Figures (available on request to
[email protected]), to appear in Phys. Rev. B (BR
Inertial Mass of a Vortex in Cuprate Superconductors
We present here a calculation of the inertial mass of a moving vortex in
cuprate superconductors. This is a poorly known basic quantity of obvious
interest in vortex dynamics. The motion of a vortex causes a dipolar density
distortion and an associated electric field which is screened. The energy cost
of the density distortion as well as the related screened electric field
contribute to the vortex mass, which is small because of efficient screening.
As a preliminary, we present a discussion and calculation of the vortex mass
using a microscopically derivable phase-only action functional for the far
region which shows that the contribution from the far region is negligible, and
that most of it arises from the (small) core region of the vortex. A
calculation based on a phenomenological Ginzburg-Landau functional is performed
in the core region. Unfortunately such a calculation is unreliable, the reasons
for it are discussed. A credible calculation of the vortex mass thus requires a
fully microscopic, non-coarse grained theory. This is developed, and results
are presented for a s-wave BCS like gap, with parameters appropriate to the
cuprates. The mass, about 0.5 per layer, for magnetic field along the
axis, arises from deformation of quasiparticle states bound in the core, and
screening effects mentioned above. We discuss earlier results, possible
extensions to d-wave symmetry, and observability of effects dependent on the
inertial mass.Comment: 27 pages, Latex, 3 figures available on request, to appear in
Physical Review
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