156 research outputs found
Magnetic flux pinning in superconductors with hyperbolic-tesselation arrays of pinning sites
We study magnetic flux interacting with arrays of pinning sites (APS) placed
on vertices of hyperbolic tesselations (HT). We show that, due to the gradient
in the density of pinning sites, HT APS are capable of trapping vortices for a
broad range of applied magnetic fluxes. Thus, the penetration of magnetic field
in HT APS is essentially different from the usual scenario predicted by the
Bean model. We demonstrate that, due to the enhanced asymmetry of the surface
barrier for vortex entry and exit, this HT APS could be used as a "capacitor"
to store magnetic flux.Comment: 7 pages, 5 figure
Critical currents in superconductors with quasiperiodic pinning arrays: One-dimensional chains and two-dimensional Penrose lattices
We study the critical depinning current J_c, as a function of the applied
magnetic flux Phi, for quasiperiodic (QP) pinning arrays, including
one-dimensional (1D) chains and two-dimensional (2D) arrays of pinning centers
placed on the nodes of a five-fold Penrose lattice. In 1D QP chains of pinning
sites, the peaks in J_c(Phi) are shown to be determined by a sequence of
harmonics of long and short periods of the chain. This sequence includes as a
subset the sequence of successive Fibonacci numbers. We also analyze the
evolution of J_c(Phi) while a continuous transition occurs from a periodic
lattice of pinning centers to a QP one; the continuous transition is achieved
by varying the ratio gamma = a_S/a_L of lengths of the short a_S and the long
a_L segments, starting from gamma = 1 for a periodic sequence. We find that the
peaks related to the Fibonacci sequence are most pronounced when gamma is equal
to the "golden mean". The critical current J_c(Phi) in QP lattice has a
remarkable self-similarity. This effect is demonstrated both in real space and
in reciprocal k-space. In 2D QP pinning arrays (e.g., Penrose lattices), the
pinning of vortices is related to matching conditions between the vortex
lattice and the QP lattice of pinning centers. Although more subtle to analyze
than in 1D pinning chains, the structure in J_c(Phi) is determined by the
presence of two different kinds of elements forming the 2D QP lattice. Indeed,
we predict analytically and numerically the main features of J_c(Phi) for
Penrose lattices. Comparing the J_c's for QP (Penrose), periodic (triangular)
and random arrays of pinning sites, we have found that the QP lattice provides
an unusually broad critical current J_c(Phi), that could be useful for
practical applications demanding high J_c's over a wide range of fields.Comment: 18 pages, 15 figures (figures 7, 9, 10, 13, 15 in separate "png"
files
Electron-hole symmetry and solutions of Richardson pairing model
Richardson approach provides an exact solution of the pairing Hamiltonian.
This Hamiltonian is characterized by the electron-hole pairing symmetry, which
is however hidden in Richardson equations. By analyzing this symmetry and using
an additional conjecture, fulfilled in solvable limits, we suggest a simple
expression of the ground state energy for an equally-spaced energy-level model,
which is applicable along the whole crossover from the superconducting state to
the pairing fluctuation regime. Solving Richardson equations numerically, we
demonstrate a good accuracy of our expression.Comment: 9 pages, 1 figure; accepted for publication in Eur. Phys. J.
Dynamics of self-organized driven particles with competing range interaction
Non-equilibrium self-organized patterns formed by particles interacting
through competing range interaction are driven over a substrate by an external
force. We show that, with increasing driving force, the pre-existed static
patterns evolve into dynamic patterns either via disordered phase or depinned
patterns, or via the formation of non-equilibrium stripes. Strikingly, the
stripes are formed either in the direction of the driving force or in the
transverse direction, depending on the pinning strength. The revealed dynamical
patterns are summarized in a dynamical phase diagram.Comment: 8 pages, 11 figure
- …