Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-kappa-junctions

dc.creatorGoldobin, E.
dc.creatorSusanto, H.
dc.creatorKoelle, D.
dc.creatorKleiner, R.
dc.creatorvan Gils, S. A.
dc.date2004-10-13
dc.date.accessioned2026-07-07T03:01:27Z
dc.date.available2026-07-07T03:01:27Z
dc.descriptionWe investigate theoretically the eigenmodes and the stability of one and two arbitrary fractional vortices pinned at one and two $κ$-phase discontinuities in a long Josephson junction. In the particular case of a single $κ$-discontinuity, a vortex is spontaneously created and pinned at the boundary between the 0 and $κ$-regions. In this work we show that only two of four possible vortices are stable. A single vortex has an oscillatory eigenmode with a frequency within the plasma gap. We calculate this eigenfrequency as a function of the fractional flux carried by a vortex. For the case of two vortices, pinned at two $κ$-discontinuities situated at some distance $a$ from each other, splitting of the eigenfrequencies occur. We calculate this splitting numerically as a function of $a$ for different possible ground states. We also discuss the presence of a critical distance below which two antiferromagnetically ordered vortices form a strongly coupled ``vortex molecule'' that behaves as a single object and has only one eigenmode.
dc.descriptionsubmitted to Phys. Rev. B ()
dc.identifierhttps://arxiv.org/abs/cond-mat/0410340
dc.identifierhttp://arxiv.org/abs/cond-mat/0410340
dc.identifierPhys. Rev. B 71, 104518 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.104518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25061
dc.subjectSuperconductivity
dc.titleOscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-kappa-junctions
dc.typetext

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