Vortex configurations on mesoscopic cylinders with square cross section

Depairing critical current density of a mesoscopic square superconductor

“…They have found some exotic configurations like vortex molecules and multiquanta vortices. Similar results have been independently reported by Doria and Zebende [4]. In our work we find only singly quantized vortex configurations because of the limitations of London theory previously mentioned.…”

Detailed magnetization study of superconducting properties of YBa2Cu3O7−xceramic spheres

“…In this magnetic field range, the derivative dM/dH may be compared with a total volume of all superconducting grains, V S = m/ρ, where m is the sample mass and ρ is the bulk density of Y-123. For the sample Y#2, V S is 0.31 mm 3 . Taking an experimental value of dM/dH = 1.45 · 10 −5 emu/Oe, we get (1/V S )(4πdM/dH) = 0.58 < 1, i.e., the volume, from which the magnetic field is expelled, is smaller than V S .…”

“…As an estimate we can use the result of Ref. 3 where it was shown that the first vortex is created when the transverse size D ∼ 2D 0 . A similar result was also obtained for very small superconducting spheres.…”

Three-dimensional Ginzburg-Landau simulation of a vortex line displaced by a zigzag of pinning spheres

“…We find numerical solutions of the Ginzburg-Landau theory in the unit cell using a mesh grid to describe it 8,9,10 . The distance between two consecutive mesh points, a, is equal to 0.5ξ, consistent to the fact that a must be smaller than the coherence length ξ, which is the minimum physical scale of the Ginzburg-Landau theory.…”

“…The interaction between a vortex line and a pinning center has been considered by many authors in the context of the Ginzburg-Landau theory 8,9,10,12 . In this paper we only consider the no magnetic shielding limit, such that the field penetrates in the superconductor and there is no Meissner-Ochsenfeld effect.…”