Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case

H. Susanto, Stephanus A. van Gils, A. Doelman, G. Derks

    Research output: Contribution to journalArticleAcademicpeer-review

    3 Citations (Scopus)
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    Abstract

    We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.
    Original languageUndefined
    Article number10.1103/PhysRevB.69.212503
    Pages (from-to)212503
    Number of pages4
    JournalPhysical Review B (Condensed Matter and Materials Physics)
    Volume69
    Issue number21
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Mathematical analysis
    • EWI-13975
    • METIS-218128
    • IR-68242

    Cite this

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    title = "Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case",
    abstract = "We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.",
    keywords = "Mathematical analysis, EWI-13975, METIS-218128, IR-68242",
    author = "H. Susanto and {van Gils}, {Stephanus A.} and A. Doelman and G. Derks",
    year = "2004",
    doi = "10.1103/PhysRevB.69.212503",
    language = "Undefined",
    volume = "69",
    pages = "212503",
    journal = "Physical review B: Covering condensed matter and materials physics",
    issn = "2469-9950",
    publisher = "American Institute of Physics",
    number = "21",

    }

    Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case. / Susanto, H.; van Gils, Stephanus A.; Doelman, A.; Derks, G.

    In: Physical Review B (Condensed Matter and Materials Physics), Vol. 69, No. 21, 10.1103/PhysRevB.69.212503, 2004, p. 212503.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case

    AU - Susanto, H.

    AU - van Gils, Stephanus A.

    AU - Doelman, A.

    AU - Derks, G.

    PY - 2004

    Y1 - 2004

    N2 - We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.

    AB - We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a $\pi$ junction as one of the three arms. It is recently shown that the static system admits an $(n+ 1/2)\phi_0$ flux, $n=0,1,2$ [Phys. Rev. B 61, 9122 (2000)]. Here we present an analysis to calculate the linear stability of the admitted states. In particular, we calculate the stability of a $3\phi_0$/2 flux. This state is of interest, since energetically this state is preferable for some combinations of Josephson lengths, but we show that in general it is linearly unstable. Finally, we propose a system that can have a stable $(n+ 1/2)\phi_0$ state.

    KW - Mathematical analysis

    KW - EWI-13975

    KW - METIS-218128

    KW - IR-68242

    U2 - 10.1103/PhysRevB.69.212503

    DO - 10.1103/PhysRevB.69.212503

    M3 - Article

    VL - 69

    SP - 212503

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

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

    SN - 2469-9950

    IS - 21

    M1 - 10.1103/PhysRevB.69.212503

    ER -