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Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson0−κjunctions

2004/10/13 by E. Goldobin, H. Susanto, D. Koelle +3 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.71.104518

published as Phys. Rev. B 71, 104518 (2005) · submitted to Phys. Rev. B ()

arxiv created 2004/10/13 · openalex publication_date 2005/03/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate theoretically the eigenmodes and the stability of one and two arbitrary fractional vortices pinned at one and two \ensuremathκ phase discontinuities in a long Josephson junction. In the particular case of a single \ensuremathκ discontinuity, a vortex is spontaneously created and pinned at the boundary between the 0 and \ensuremathκ 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 \ensuremathκ discontinuities situated at some distance a from each other, splitting of the eigenfrequencies occurs. 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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