### Abstract

Original language | Undefined |
---|---|

Article number | 10.1103/PhysRevB.69.212503 |

Pages (from-to) | 212503 |

Number of pages | 4 |

Journal | Physical Review B (Condensed Matter and Materials Physics) |

Volume | 69 |

Issue number | 21 |

DOIs | |

Publication status | Published - 2004 |

### Keywords

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

### Cite this

_{0}/2-flux case.

*Physical Review B (Condensed Matter and Materials Physics)*,

*69*(21), 212503. [10.1103/PhysRevB.69.212503]. https://doi.org/10.1103/PhysRevB.69.212503

}

_{0}/2-flux case',

*Physical Review B (Condensed Matter and Materials Physics)*, vol. 69, no. 21, 10.1103/PhysRevB.69.212503, pp. 212503. https://doi.org/10.1103/PhysRevB.69.212503

**Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ _{0}/2-flux case.** / Susanto, H.; van Gils, Stephanus A.; Doelman, A.; Derks, G.

Research output: Contribution to journal › Article › Academic › peer-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 -

_{0}/2-flux case. Physical Review B (Condensed Matter and Materials Physics). 2004;69(21):212503. 10.1103/PhysRevB.69.212503. https://doi.org/10.1103/PhysRevB.69.212503