Analytical analysis of ground states on 0-$π$ long Josephson junctions

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dc.creatorZenchuk, A.
dc.creatorGoldobin, E.
dc.date2003-04-26
dc.date2003-05-08
dc.date.accessioned2026-07-07T05:34:42Z
dc.date.available2026-07-07T05:34:42Z
dc.descriptionWe investigate analytically a long Josephson 0-$π$-junction with several 0 and $π$ facets which are comparable to the Josephson penetration length $λ_J$. Such junctions can be fabricated exploiting (a) the d-wave order parameter symmetry of cuprate superconductors; (b) the spacial oscillations of the order parameter in superconductor-insulator-ferromagnet-superconductor structures with different thicknesses of ferromagnetic layer to produce 0 or $π$ coupling or (c) the structure of the corresponding sine-Gordon equations and substituting the phase $π$-discontinuities by the artificial current injectors. We investigate analytically the possible ground states in such a system and show that there is a critical facet length $a_c$, which separates the states with half-integer flux quanta (semifluxons) from the trivial ``flat phase state'' without magnetic flux. We analyze different branches of the bifurcation diagram, derive a system of transcendental equations which can be effectively solved to find the crossover distance $a_c$ (bifurcation point) and present the solutions for different number of facets and the edge facets length. We show that the edge facets may drastically affect the state of the system.
dc.descriptionsubmited to PRB
dc.identifierhttps://arxiv.org/abs/nlin/0304053
dc.identifierhttp://arxiv.org/abs/nlin/0304053
dc.identifierPhys. Rev. B 69, 024515 (2004)
dc.identifierdoi:10.1103/PhysRevB.69.024515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80470
dc.subjectPattern Formation and Solitons
dc.subjectSuperconductivity
dc.titleAnalytical analysis of ground states on 0-$π$ long Josephson junctions
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