### Abstract

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

Pages (from-to) | 104518 |

Number of pages | 8 |

Journal | Physical review B: Condensed matter and materials physics |

Volume | 71 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2005 |

### Keywords

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

### Cite this

*Physical review B: Condensed matter and materials physics*,

*71*(10), 104518. https://doi.org/10.1103/PhysRevB.71.104518

}

*Physical review B: Condensed matter and materials physics*, vol. 71, no. 10, pp. 104518. https://doi.org/10.1103/PhysRevB.71.104518

**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.

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