### Abstract

We consider Josephson vortices at tricrystal boundaries. We discuss the specific case of a tricrystal boundary with a π junction as one of the three arms. It is recently shown that the static system admits an (

*n*+ 1/2)φ_{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 $3φ_{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)φ_{0}state.Original language | English |
---|---|

Article number | 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

## Fingerprint Dive into the research topics of 'Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ<sub>0</sub>/2-flux case'. Together they form a unique fingerprint.

## Cite this

Susanto, H., van Gils, S. A., Doelman, A., & Derks, G. (2004). Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ

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