24 research outputs found
Dynamics of 2D pancake vortices in layered superconductors
The dynamics of 2D pancake vortices in Josephson-coupled
superconducting/normal - metal multilayers is considered within the
time-dependent Ginzburg-Landau theory. For temperatures close to a
viscous drag force acting on a moving 2D vortex is shown to depend strongly on
the conductivity of normal metal layers. For a tilted vortex line consisting of
2D vortices the equation of viscous motion in the presence of a transport
current parallel to the layers is obtained. The specific structure of the
vortex line core leads to a new dynamic behavior and to substantial deviations
from the Bardeen-Stephen theory. The viscosity coefficient is found to depend
essentially on the angle between the magnetic field and the
axis normal to the layers. For field orientations close to the layers
the nonlinear effects in the vortex motion appear even for slowly moving vortex
lines (when the in-plane transport current is much smaller than the
Ginzburg-Landau critical current). In this nonlinear regime the viscosity
coefficient depends logarithmically on the vortex velocity .Comment: 15 pages, revtex, no figure
Fluctuations and Intrinsic Pinning in Layered Superconductors
A flux liquid can condense into a smectic crystal in a pure layered
superconductors with the magnetic field oriented nearly parallel to the layers.
If the smectic order is commensurate with the layering, this crystal is {\sl
stable} to point disorder. By tilting and adjusting the magnitude of the
applied field, both incommensurate and tilted smectic and crystalline phases
are found. We discuss transport near the second order smectic freezing
transition, and show that permeation modes lead to a small non--zero
resistivity and large but finite tilt modulus in the smectic crystal.Comment: 4 pages + 1 style file + 1 figure (as uufile) appended, REVTEX 3.
Dynamic transitions between metastable states in a superconducting ring
Applying the time-dependent Ginzburg-Landau equations, transitions between
metastable states of a superconducting ring are investigated in the presence of
an external magnetic field. It is shown that if the ring exhibits several
metastable states at a particular magnetic field, the transition from one
metastable state to another one is governed by both the relaxation time of the
absolute value of the order parameter tau_{|psi|} and the relaxation time of
the phase of the order parameter tau_{phi}. We found that the larger the ratio
tau_{|psi|}tau_{phi} the closer the final state will be to the absolute minimum
of the free energy, i.e. the thermodynamic equilibrium. The transition to the
final state occurs through a subsequent set of single phase slips at a
particular point along the ring.Comment: 7 pages, 6 figures, Revtex 4.0 styl
Temperature and magnetic-field dependence of quantum creep in various high-Tc superconductors
Instantons for Vacuum Decay at Finite Temperature in the Thin Wall Limit
In dimensions, false vacuum decay at zero temperature is dominated by
the symmetric instanton, a sphere of radius , whereas at
temperatures , the decay is dominated by a `cylindrical' (static)
symmetric instanton. We study the transition between these two regimes
in the thin wall approximation. Taking an symmetric ansatz for the
instantons, we show that for and new periodic solutions exist in a
finite temperature range in the neighborhood of . However,
these solutions have higher action than the spherical or the cylindrical one.
This suggests that there is a sudden change (a first order transition) in the
derivative of the nucleation rate at a certain temperature , when the
static instanton starts dominating. For , on the other hand, the new
solutions are dominant and they smoothly interpolate between the zero
temperature instanton and the high temperature one, so the transition is of
second order. The determinantal prefactors corresponding to the `cylindrical'
instantons are discussed, and it is pointed out that the entropic contributions
from massless excitations corresponding to deformations of the domain wall give
rise to an exponential enhancement of the nucleation rate for .Comment: 24 pages, 7 figures available upon request, DAMTP-R-94/
Onset of Vortices in Thin Superconducting Strips and Wires
Spontaneous nucleation and the consequent penetration of vortices into thin
superconducting films and wires, subjected to a magnetic field, can be
considered as a nonlinear stage of primary instability of the current-carrying
superconducting state. The development of the instability leads to the
formation of a chain of vortices in strips and helicoidal vortex lines in
wires. The boundary of instability was obtained analytically. The nonlinear
stage was investigated by simulations of the time-dependent generalized
Ginzburg-Landau equation.Comment: REVTeX 3.0, 12 pages, 5Postscript figures (uuencoded). Accepted for
Phys. Rev.
The resistive state in a superconducting wire: Bifurcation from the normal state
We study formally and rigorously the bifurcation to steady and time-periodic
states in a model for a thin superconducting wire in the presence of an imposed
current. Exploiting the PT-symmetry of the equations at both the linearized and
nonlinear levels, and taking advantage of the collision of real eigenvalues
leading to complex spectrum, we obtain explicit asymptotic formulas for the
stationary solutions, for the amplitude and period of the bifurcating periodic
solutions and for the location of their zeros or "phase slip centers" as they
are known in the physics literature. In so doing, we construct a center
manifold for the flow and give a complete description of the associated
finite-dimensional dynamics
Josephson vortices and solitons inside pancake vortex lattice in layered superconductors
In very anisotropic layered superconductors a tilted magnetic field generates
crossing vortex lattices of pancake and Josephson vortices (JVs). We study the
properties of an isolated JV in the lattice of pancake vortices. JV induces
deformations in the pancake vortex crystal, which, in turn, substantially
modify the JV structure. The phase field of the JV is composed of two types of
phase deformations: the regular phase and vortex phase. The phase deformations
with smaller stiffness dominate. The contribution from the vortex phase
smoothly takes over with increasing magnetic field. We find that the structure
of the cores experiences a smooth yet qualitative evolution with decrease of
the anisotropy. At large anisotropies pancakes have only small deformations
with respect to position of the ideal crystal while at smaller anisotropies the
pancake stacks in the central row smoothly transfer between the neighboring
lattice positions forming a solitonlike structure. We also find that even at
high anisotropies pancake vortices strongly pin JVs and strongly increase their
viscous friction.Comment: 22 pages, 11 figures, to appear in Phys. Rev.