Instability of a lattice semifluxon in a current-biased 0-π array of Josephson junctions

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    We consider a one-dimensional parallel biased array of small Josephson junctions with a discontinuity point characterized by a phase jump of $\pi$ in the phase difference. The system is described by a spatially nonautonomous discrete sine-Gordon equation. It is shown that in the infinitely long case there is a semifluxon spontaneously generated attached to the discontinuity point. Comparing the configurations of the semifluxon, we find an energy barrier similar to the Peierls-Nabarro barrier. We calculate numerically the minimum bias current density to overcome this barrier which is a function of the lattice spacing. It is found that the minimum bias current is the critical current for the existence of static lattice semifluxons. For bias current density above the minimum value, the semifluxon changes the polarity and releases $2\pi$ fluxons. An analytical approximation to the critical current as a function of the lattice spacing is presented.
    Original languageUndefined
    Pages (from-to)092507
    Number of pages4
    JournalPhysical Review B (Condensed Matter and Materials Physics)
    Volume69
    Issue number9
    DOIs
    Publication statusPublished - 2004

    Keywords

    • calculation
    • molecular physics
    • EWI-13976
    • Mathematical analysis
    • IR-47553
    • METIS-218130

    Cite this

    @article{220ea98b281a4eba88f51a6c46415460,
    title = "Instability of a lattice semifluxon in a current-biased 0-π array of Josephson junctions",
    abstract = "We consider a one-dimensional parallel biased array of small Josephson junctions with a discontinuity point characterized by a phase jump of $\pi$ in the phase difference. The system is described by a spatially nonautonomous discrete sine-Gordon equation. It is shown that in the infinitely long case there is a semifluxon spontaneously generated attached to the discontinuity point. Comparing the configurations of the semifluxon, we find an energy barrier similar to the Peierls-Nabarro barrier. We calculate numerically the minimum bias current density to overcome this barrier which is a function of the lattice spacing. It is found that the minimum bias current is the critical current for the existence of static lattice semifluxons. For bias current density above the minimum value, the semifluxon changes the polarity and releases $2\pi$ fluxons. An analytical approximation to the critical current as a function of the lattice spacing is presented.",
    keywords = "calculation, molecular physics, EWI-13976, Mathematical analysis, IR-47553, METIS-218130",
    author = "H. Susanto and {van Gils}, {Stephanus A.}",
    year = "2004",
    doi = "10.1103/PhysRevB.69.092507",
    language = "Undefined",
    volume = "69",
    pages = "092507",
    journal = "Physical review B: Covering condensed matter and materials physics",
    issn = "2469-9950",
    publisher = "American Institute of Physics",
    number = "9",

    }

    Instability of a lattice semifluxon in a current-biased 0-π array of Josephson junctions. / Susanto, H.; van Gils, Stephanus A.

    In: Physical Review B (Condensed Matter and Materials Physics), Vol. 69, No. 9, 2004, p. 092507.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Instability of a lattice semifluxon in a current-biased 0-π array of Josephson junctions

    AU - Susanto, H.

    AU - van Gils, Stephanus A.

    PY - 2004

    Y1 - 2004

    N2 - We consider a one-dimensional parallel biased array of small Josephson junctions with a discontinuity point characterized by a phase jump of $\pi$ in the phase difference. The system is described by a spatially nonautonomous discrete sine-Gordon equation. It is shown that in the infinitely long case there is a semifluxon spontaneously generated attached to the discontinuity point. Comparing the configurations of the semifluxon, we find an energy barrier similar to the Peierls-Nabarro barrier. We calculate numerically the minimum bias current density to overcome this barrier which is a function of the lattice spacing. It is found that the minimum bias current is the critical current for the existence of static lattice semifluxons. For bias current density above the minimum value, the semifluxon changes the polarity and releases $2\pi$ fluxons. An analytical approximation to the critical current as a function of the lattice spacing is presented.

    AB - We consider a one-dimensional parallel biased array of small Josephson junctions with a discontinuity point characterized by a phase jump of $\pi$ in the phase difference. The system is described by a spatially nonautonomous discrete sine-Gordon equation. It is shown that in the infinitely long case there is a semifluxon spontaneously generated attached to the discontinuity point. Comparing the configurations of the semifluxon, we find an energy barrier similar to the Peierls-Nabarro barrier. We calculate numerically the minimum bias current density to overcome this barrier which is a function of the lattice spacing. It is found that the minimum bias current is the critical current for the existence of static lattice semifluxons. For bias current density above the minimum value, the semifluxon changes the polarity and releases $2\pi$ fluxons. An analytical approximation to the critical current as a function of the lattice spacing is presented.

    KW - calculation

    KW - molecular physics

    KW - EWI-13976

    KW - Mathematical analysis

    KW - IR-47553

    KW - METIS-218130

    U2 - 10.1103/PhysRevB.69.092507

    DO - 10.1103/PhysRevB.69.092507

    M3 - Article

    VL - 69

    SP - 092507

    JO - Physical review B: Covering condensed matter and materials physics

    JF - Physical review B: Covering condensed matter and materials physics

    SN - 2469-9950

    IS - 9

    ER -