Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions

E. Goldobin, H. Susanto, D. Koelle, R. Kleiner, Stephanus A. van Gils

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)
39 Downloads (Pure)

Abstract

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.
Original languageUndefined
Pages (from-to)104518
Number of pages8
JournalPhysical review B: Condensed matter and materials physics
Volume71
Issue number10
DOIs
Publication statusPublished - 2005

Keywords

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

Cite this

@article{8074acc8f3884ce590be17b366aa3e76,
title = "Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions",
abstract = "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.",
keywords = "IR-53369, EWI-13960, METIS-226012",
author = "E. Goldobin and H. Susanto and D. Koelle and R. Kleiner and {van Gils}, {Stephanus A.}",
year = "2005",
doi = "10.1103/PhysRevB.71.104518",
language = "Undefined",
volume = "71",
pages = "104518",
journal = "Physical review B: Condensed matter and materials physics",
issn = "1098-0121",
publisher = "American Physical Society",
number = "10",

}

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.

In: Physical review B: Condensed matter and materials physics, Vol. 71, No. 10, 2005, p. 104518.

Research output: Contribution to journalArticleAcademicpeer-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 -