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

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Goldobin, E. and Susanto, H. and Koelle, D. and Kleiner, R. and Gils, S.A. van (2005) Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions. Physical Review B: Condensed matter and materials physics, 71 (10). p. 104518. ISSN 1098-0121

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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 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.
Item Type:Article
Copyright:© 2005 The American Physical Society
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/53369
Official URL:http://dx.doi.org/10.1103/PhysRevB.71.104518
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