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Volumn 71, Issue 10, 2005, Pages

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

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL;

EID: 20344399871     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.104518     Document Type: Article
Times cited : (20)

References (44)
  • 9
    • 0000314265 scopus 로고
    • [JETP Lett. 25, 290 (1977)].
    • (1977) JETP Lett. , vol.25 , pp. 290
  • 26
    • 20344371053 scopus 로고    scopus 로고
    • note
    • J of negative and positive critical current). In contrast to such "splintered" vortices (Refs. 40-42) which are not pinned, the fractional vortices discussed here are pinned at a k discontinuity. The mixture of both possibilities, i.e., a fractional vortex at the boundary between a w region with the second harmonic and a 0 region without the second harmonic is also possible (Ref. 42).
  • 28
    • 20344365166 scopus 로고    scopus 로고
    • note
    • A fluxon has two trivial eigenvalues, i.e., at zero frequency swith multiplicity twod and at the edges of the plasma band (Ref. 31). The zero eigenvalue is due to the translational invariance. The eigenvalue at the edges of the plasma band bifurcates and becomes an internal mode in the presence of a perturbative term in the sine-Gordon equation.
  • 31
    • 20344401398 scopus 로고    scopus 로고
    • cond-mat/0208473 (unpublished)
    • N. Stefanakis, cond-mat/0208473 (unpublished).
    • Stefanakis, N.1
  • 34
  • 35
    • 84856126495 scopus 로고    scopus 로고
    • E. Goldobin, URL: http://www.geocities.com/SiliconValley/ Heights/7318/StkJJ.htm
    • Goldobin, E.1
  • 36
    • 20344367368 scopus 로고    scopus 로고
    • note
    • The splitting of an eigenvalue out of the edges of the phonon band cannot be calculated using the formal expansion method. This is an indication of an exponentially small splitting of the eigenvalue.


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