Interpolation of the Josephson interaction in highly anisotropic superconductors from a solution of the two dimensional sine-Gordon equation

Abstract

In this paper we solve numerically the two dimensional elliptic sine-Gordon equation with appropriate boundary conditions. These boundary conditions are chosen to correspond to the Josephson interaction between two adjacent pancakes belonging to the same flux-line in a highly anisotropic superconductor. An extrapolation is obtained between the regimes of low and high separation of the pancakes. The resulting formula is a better candidate for use in numerical simulations than previously derived formulas.

18 pages, 9 figures

References in corpus (5)

• The Flux-Line Lattice in Superconductors
• Possible new vortex matter phases in BSCCO
• Abrupt Change of Josephson Plasma Frequency at the Phase Boundary of the Bragg Glass in Bi_2Sr_2CaCu_2O_{8+δ}
• Flux melting in BSCCO: Incorporating both electromagnetic and Josephson couplings
• Effects of columnar disorder on flux-lattice melting in high-temperature superconductors

Cited by in corpus (5)

• Stable fractional flux vortices and unconventional magnetic state in two-component superconductors
• Redistribution of phase fluctuations in a periodically driven cuprate superconductor
• On the melting of the nanocrystalline vortex matter in high-temperature superconductors
• Langevin Dynamics of the vortex matter two-stage melting transition in Bi_2Sr_2CaCu_2O${}_{8+\delta }$ in the presence of straight and of tilted columnar defects
• Molecular Dynamics of pancake vortices with realistic interactions: Observing the vortex lattice melting transition