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

E. Goldobin·H. Susanto·D. Koelle·R. Kleiner·S. A. van Gils
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Abstract

We 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.

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E. Goldobin, H. Susanto, D. Koelle, R. Kleiner, S. A. van Gils. 2004-10-13. Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-kappa-junctions. https://doi.org/10.1103/physrevb.71.104518

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