Superconducting properties of a mesoscopic parallelepiped with anisotropic surface conditions

Abstract

We consider a mesoscopic superconducting parallelepiped with different boundary conditions on different parts of the surface, xy, xz and yz surface planes. This is realized by considering different values of the de Gennes extrapolation length b on different surfaces of the sample. Our investigation was carried out by solving the three-dimensional (3D) time dependent Ginzburg-Landau (TDGL) equations. We studied the local magnetic field, order parameter, and both the magnetization and vorticity curves as functions of the external applied magnetic field for different values of b on the surfaces of the sample. We show that this surface anisotropy has very strong influence on the vortex configurations and the magnetization as a function of the external applied magnetic field, both experimentally accessible.

Vortex state in a superconducting mesoscopic irregular octagon

“…With this, we will consider the Gibbs functional for a two-condensate with a Josephson coupling, where ψ i is the superconducting order parameter complex pseudofunction ψ i = |ψ i |e iθi , (θ i its phase) for the i = 1, 2 condensate. [32,33], A is the magnetic potential:…”

“…( 5) does not exist, leaving only a superconducting condensate ψ 1 . For the computational mesh we use ∆x = ∆y = 0.1 [13,15,16,32]. In the field cooling processes simulations for we take T = 0.1.…”

Clusters of vortices induced by thermal gradient in mesoscopic superconductors

“…In order to solve Eqs. ( 1) -( 3) numerically, supplied by the boundary conditions ( 6) and (7) we have used the link-variable method according to References [20][21][22]. The superconductor of size (l x , l y , l z ) is considered inside a simulation box of dimensions (L x , L y , L z ) sufficiently large so that the local field becomes uniform on its borders; the simulation box is not shown in Fig.…”

Effect of Background Magnetic Field on Type-II Superconductor under Oscillating Magnetic Field Simulated Using Ginzburg-Landau Model

“…In this work, we studied such a magnetic field and compared the results with results reported earlier for perfectly oscillating magnetic fields [18]. To investigate this type of energy loss, we studied the behavior of type-II superconductor exposed to an oscillating magnetic field simulated using time-dependent Ginzburg-Landau (TDGL) equations [15,26,27] near critical temperature with and without an additional static background magnetic field. The dynamics of Abrikosov vortices in oscillating magnetic field is studied.…”