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

E. Goldobin, H. Susanto, D. Koelle, R. Kleiner, Stephanus 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 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.
    Original languageUndefined
    Pages (from-to)104518
    Number of pages8
    JournalPhysical review B: Condensed matter and materials physics
    Volume71
    Issue number10
    DOIs
    Publication statusPublished - 2005

    Keywords

    • IR-53369
    • EWI-13960
    • METIS-226012

    Cite this

    @article{8074acc8f3884ce590be17b366aa3e76,
    title = "Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions",
    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.",
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    author = "E. Goldobin and H. Susanto and D. Koelle and R. Kleiner and {van Gils}, {Stephanus A.}",
    year = "2005",
    doi = "10.1103/PhysRevB.71.104518",
    language = "Undefined",
    volume = "71",
    pages = "104518",
    journal = "Physical review B: Condensed matter and materials physics",
    issn = "1098-0121",
    publisher = "American Physical Society",
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    Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions. / Goldobin, E.; Susanto, H.; Koelle, D.; Kleiner, R.; van Gils, Stephanus A.

    In: Physical review B: Condensed matter and materials physics, Vol. 71, No. 10, 2005, p. 104518.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions

    AU - Goldobin, E.

    AU - Susanto, H.

    AU - Koelle, D.

    AU - Kleiner, R.

    AU - van Gils, Stephanus A.

    PY - 2005

    Y1 - 2005

    N2 - 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.

    AB - 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.

    KW - IR-53369

    KW - EWI-13960

    KW - METIS-226012

    U2 - 10.1103/PhysRevB.71.104518

    DO - 10.1103/PhysRevB.71.104518

    M3 - Article

    VL - 71

    SP - 104518

    JO - Physical review B: Condensed matter and materials physics

    JF - Physical review B: Condensed matter and materials physics

    SN - 1098-0121

    IS - 10

    ER -