Vortex phases in mesoscopic cylinders with suppressed surface superconductivity

Pogosov, W. V.

doi:10.1103/physrevb.65.224511

Cited by 20 publications

(9 citation statements)

References 35 publications

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“…All other properties of the above equations, in particular, their asymptotics in the vanishing fields, can be directly analyzed in the same way, as for the DD case. 58 Contrary to the systems with circular symmetry, 28,31,38,43,[70][71][72][73][74][75][76] in our case, the coefficients n are not real integers. An analysis shows that, similar to the DD configuration, 58 for each fixed energy E, a complete set of solutions of Eq.…”

Section: ͑21͒mentioning

confidence: 74%

Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field

Olendski

Mikhailovska

2008

Phys. Rev. B

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A model of a thin straight strip with a uniformly curved section and with different uniform boundary conditions on the opposite edges subjected to the homogeneous magnetic field B is theoretically analyzed within the framework of the linear Schrödinger equation and is applied to the study of the processes in the bent magnetic multilayers and superconducting films. In particular, for the inner Dirichlet and outer Neumann boundaries, it is shown that bend-induced enhancement of the superconductivity survives in the magnetic field with the order parameter ⌿͑r͒ being pushed stronger and stronger to the Neumann surface with increasing B and, simultaneously, the area where the nucleation of the superconductivity takes place is spread more and more in the straight arms. Various magnetotransport properties of the film such as interference blockade of the supercurrent flow at some special field-dependent temperatures are also discussed with special attention being paid to the formation and evolution of the vortices, which appear as a result of the bend-induced interaction between the different subbands; it is shown, in particular, that the number of vortices decreases with the field and some of them transform into the antivortices. A proof of the very close analogy between two kinds of strips, ͑1͒ pure Dirichlet condition on both edges and ͑2͒ inner Dirichlet and outer Neumann requirements, derived earlier for B = 0 is extended to the case of nonzero fields.

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Section: ͑21͒mentioning

confidence: 74%

Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field

Olendski

Mikhailovska

2008

Phys. Rev. B

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“…Instead of solving the GL equations, which are nonlinear with respect to f (r), we have applied a variational procedure, similar to what has been used in Ref. [12]. The trial function used for the modulus of the order parameter is…”

Section: Theoretical Resultsmentioning

confidence: 99%

“…( 1) and ( 2), the GL energy is found as a function of the variational parameters (see ref. [14]). The values of the variational parameters are calculated by minimizing the GL energy.…”

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confidence: 99%

Influence of the stray field of a magnetic dot on the nucleation of superconductivity in a disk

et al. 2004

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We have investigated the nucleation of superconductivity in an Al mesoscopic disk, with a magnetic dot on the top. The dot is magnetized perpendicularly, and its magnetic field is inhomogeneous. The Al disk and magnetic dot are separated by an insulating layer, which ensures that there is only magnetic interaction between them. This hybrid superconductor/ferromagnet structure exhibits the maximum critical temperature for a finite value of the perpendicular applied magnetic field, which is parallel to the magnetization of magnetic dot. We have found a good agreement between the experimental data for the superconductor/normal metal phase boundary and the theoretical predictions based on the Ginzburg-Landau theory.

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“…In this paper, we have gone further by investigating the effects of the boundary conditions of the superconducting order parameter at the surface of the specimen; they modify the structural and magnetic properties of the vortex state as the size of the sample is comparable to the coherence length ξ or the London penetration depth λ [20]. We consider a superconductor covered by a very thin layer of a different material.…”

Section: Introductionmentioning

confidence: 99%

Superconducting properties of a mesoscopic parallelepiped with anisotropic surface conditions

Barba-Ortega

Sardella

2015

Physics Letters A

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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.

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Vortex phases in mesoscopic cylinders with suppressed surface superconductivity

Cited by 20 publications

References 35 publications

Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field

Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field

Influence of the stray field of a magnetic dot on the nucleation of superconductivity in a disk

Superconducting properties of a mesoscopic parallelepiped with anisotropic surface conditions

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