384 research outputs found
Parity Effect and Charge Binding Transition in Submicron Josephson Junction Arrays
We reconsider the issue of Berezinskii-Kosterlitz-Thouless (BKT) transition
into an insulating state in the Coulomb-dominated Josephson junction arrays. We
show that previously predicted picture of the Cooper-pair BKT transtion at T =
T_2 is valid only under the condition that T_2 is considerably below the
parity-effect temperature (which is usually almost 10 times below the value of
superconductive transition temperature), and even in this case it is not a
rigorous phase transition but only a crossover, whereas the real phase
transition takes place at T_1 = T_2/4. Our theory is in agreement with
available experimental data on Coulomb-dominated Josephson arrays and also
sheds some light on the origin of unusual reentrant temperature dependence of
resistivity in the array with nearly-criticial ratio of Coulomb to Josephson
energies.Comment: 4 pages, Revtex, to be published in JETP Letters, April 9
Future aspects of renal transplantation
New and exciting advances in renal transplantation are continuously being made, and the horizons for organ transplantation are bright and open. This article reviews only a few of the newer advances that will allow renal transplantation to become even more widespread and successful. The important and exciting implications for extrarenal organ transplantation are immediately evident. © 1988 Springer-Verlag
Nonlinear Viscous Vortex Motion in Two-Dimensional Josephson-Junction Arrays
When a vortex in a two-dimensional Josephson junction array is driven by a
constant external current it may move as a particle in a viscous medium. Here
we study the nature of this viscous motion. We model the junctions in a square
array as resistively and capacitively shunted Josephson junctions and carry out
numerical calculations of the current-voltage characteristics. We find that the
current-voltage characteristics in the damped regime are well described by a
model with a {\bf nonlinear} viscous force of the form , where is the vortex velocity,
is the velocity dependent viscosity and and are
constants for a fixed value of the Stewart-McCumber parameter. This result is
found to apply also for triangular lattices in the overdamped regime. Further
qualitative understanding of the nature of the nonlinear friction on the vortex
motion is obtained from a graphic analysis of the microscopic vortex dynamics
in the array. The consequences of having this type of nonlinear friction law
are discussed and compared to previous theoretical and experimental studies.Comment: 14 pages RevTex, 9 Postscript figure
Full capacitance-matrix effects in driven Josephson-junction arrays
We study the dynamic response to external currents of periodic arrays of
Josephson junctions, in a resistively capacitively shunted junction (RCSJ)
model, including full capacitance-matrix effects}. We define and study three
different models of the capacitance matrix : Model A
includes only mutual capacitances; Model B includes mutual and self
capacitances, leading to exponential screening of the electrostatic fields;
Model C includes a dense matrix that is constructed
approximately from superposition of an exact analytic solution for the
capacitance between two disks of finite radius and thickness. In the latter
case the electrostatic fields decay algebraically. For comparison, we have also
evaluated the full capacitance matrix using the MIT fastcap algorithm, good for
small lattices, as well as a corresponding continuum effective-medium analytic
evaluation of a finite voltage disk inside a zero-potential plane. In all cases
the effective decays algebraically with distance, with
different powers. We have then calculated current voltage characteristics for
DC+AC currents for all models. We find that there are novel giant capacitive
fractional steps in the I-V's for Models B and C, strongly dependent on the
amount of screening involved. We find that these fractional steps are quantized
in units inversely proportional to the lattice sizes and depend on the
properties of . We also show that the capacitive steps
are not related to vortex oscillations but to localized screened phase-locking
of a few rows in the lattice. The possible experimental relevance of these
results is also discussed.Comment: 12 pages 18 Postscript figures, REVTEX style. Paper to appear in July
1, Vol. 58, Phys. Rev. B 1998 All PS figures include
Scaling Analysis of Magnetic Filed Tuned Phase Transitions in One-Dimensional Josephson Junction Arrays
We have studied experimentally the magnetic field-induced
superconductor-insulator quantum phase transition in one-dimensional arrays of
small Josephson junctions. The zero bias resistance was found to display a
drastic change upon application of a small magnetic field; this result was
analyzed in context of the superfluid-insulator transition in one dimension. A
scaling analysis suggests a power law dependence of the correlation length
instead of an exponential one. The dynamical exponents were determined to
be close to 1, and the correlation length critical exponents were also found to
be about 0.3 and 0.6 in the two groups of measured samples.Comment: 4 pages, 4 figure
Fast Algorithms For Josephson Junction Arrays : Bus--bars and Defects
We critically review the fast algorithms for the numerical study of
two--dimensional Josephson junction arrays and develop the analogy of such
systems with electrostatics. We extend these procedures to arrays with
bus--bars and defects in the form of missing bonds. The role of boundaries and
of the guage choice in determing the Green's function of the system is
clarified. The extension of the Green's function approach to other situations
is also discussed.Comment: Uuencoded 1 Revtex file (11 Pages), 3 Figures : Postscript Uuencode
Quantum interference and Coulomb interaction in arrays of tunnel junctions
We study the electronic properties of an array of small metallic grains
connected by tunnel junctions. Such an array serves as a model for a granular
metal. Previous theoretical studies of junction arrays were based on models of
quantum dissipation which did not take into account the diffusive motion of
electrons within the grains. We demonstrate that these models break down at
sufficiently low temperatures: for a correct description of the screening
properties of a granular metal at low energies the diffusive nature of the
electronic motion within the grains is crucial. We present both a diagrammatic
and a functional integral approach to analyse the properties of junction
arrays. In particular, a new effective action is obtained which enables us to
describe the array at arbitrary temperature. In the low temperature limit, our
theory yields the correct, dynamically screened Coulomb interaction of a normal
metal, whereas at high temperatures the standard description in terms of
quantum dissipation is recovered.Comment: 14 pages, 7 figure
Quantum transport using the Ford-Kac-Mazur formalism
The Ford-Kac-Mazur formalism is used to study quantum transport in (1)
electronic and (2) harmonic oscillator systems connected to general reservoirs.
It is shown that for non-interacting systems the method is easy to implement
and is used to obtain many exact results on electrical and thermal transport in
one-dimensional disordered wires. Some of these have earlier been obtained
using nonequilibrium Green function methods. We examine the role that
reservoirs and contacts can have on determining the transport properties of a
wire and find several interesting effects.Comment: 10 pages, 4 figure
Critical properties of two-dimensional Josephson junction arrays with zero-point quantum fluctuations
We present results from an extensive analytic and numerical study of a
two-dimensional model of a square array of ultrasmall Josephson junctions. We
include the ultrasmall self and mutual capacitances of the junctions, for the
same parameter ranges as those produced in the experiments. The model
Hamiltonian studied includes the Josephson, , as well as the charging,
, energies between superconducting islands. The corresponding quantum
partition function is expressed in different calculationally convenient ways
within its path-integral representation. The phase diagram is analytically
studied using a WKB renormalization group (WKB-RG) plus a self-consistent
harmonic approximation (SCHA) analysis, together with non-perturbative quantum
Monte Carlo simulations. Most of the results presented here pertain to the
superconductor to normal (S-N) region, although some results for the insulating
to normal (I-N) region are also included. We find very good agreement between
the WKB-RG and QMC results when compared to the experimental data. To fit the
data, we only used the experimentally determined capacitances as fitting
parameters. The WKB-RG analysis in the S-N region predicts a low temperature
instability i.e. a Quantum Induced Transition (QUIT). We carefully simulations
and carry out a finite size analysis of as a function of the
magnitude of imaginary time axis . We find that for some relatively
large values of (, the
limit does appear to give a {\it non-zero} , while
for , . We use the SCHA to analytically understand
the dependence of the QMC results with good agreement between them.
Finally, we also carried out a WKB-RG analysis in the I-N region and found no
evidence of a low temperature QUIT, up to lowest order in Comment: 39 pages, 18 postscript figures, to appear in Phys. Rev.
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