2015
DOI: 10.1016/j.physleta.2015.10.013
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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 functio… Show more

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Cited by 14 publications
(5 citation statements)
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References 42 publications
(41 reference statements)
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“…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:…”
Section: Theoretical Formalismmentioning
confidence: 99%
See 1 more Smart Citation
“…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:…”
Section: Theoretical Formalismmentioning
confidence: 99%
“…( 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.…”
Section: Theoretical Formalismmentioning
confidence: 99%
“…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.…”
Section: Tdgl Equationsmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%