# Static semifluxons in a long Josephson junction with π-discontinuity points

H. Susanto, Stephanus A. van Gils, T.P.P. Visser, A. Ariando, H.J.H. Smilde, Johannes W.M. Hilgenkamp

Research output: Contribution to journalArticleAcademicpeer-review

28 Citations (Scopus)

### Abstract

We investigate analytically a long Josephson junction with several $\pi$-discontinuity points characterized by a jump of $\pi$ in the phase difference of the junction. The system is described by a perturbed-combined sine-Gordon equation. Via phase-portrait analysis, it is shown how the existence of static semifluxons localized around the discontinuity points is influenced by the applied bias current. In junctions with more than one corner, there is a minimum-facet-length for semifluxons to be spontaneously generated. A stability analysis is used to obtain the minimum-facet-length for multicorner junctions.
Original language Undefined 10.1103/PhysRevB.68.104501 104501 8 Physical review B: Condensed matter and materials physics 68 10 https://doi.org/10.1103/PhysRevB.68.104501 Published - 2003

• METIS-218132
• EWI-13978
• IR-68245

### Cite this

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title = "Static semifluxons in a long Josephson junction with π-discontinuity points",
abstract = "We investigate analytically a long Josephson junction with several $\pi$-discontinuity points characterized by a jump of $\pi$ in the phase difference of the junction. The system is described by a perturbed-combined sine-Gordon equation. Via phase-portrait analysis, it is shown how the existence of static semifluxons localized around the discontinuity points is influenced by the applied bias current. In junctions with more than one corner, there is a minimum-facet-length for semifluxons to be spontaneously generated. A stability analysis is used to obtain the minimum-facet-length for multicorner junctions.",
keywords = "METIS-218132, EWI-13978, IR-68245",
author = "H. Susanto and {van Gils}, {Stephanus A.} and T.P.P. Visser and A. Ariando and H.J.H. Smilde and Hilgenkamp, {Johannes W.M.}",
year = "2003",
doi = "10.1103/PhysRevB.68.104501",
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journal = "Physical review B: Condensed matter and materials physics",
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Static semifluxons in a long Josephson junction with π-discontinuity points. / Susanto, H.; van Gils, Stephanus A.; Visser, T.P.P.; Ariando, A.; Smilde, H.J.H.; Hilgenkamp, Johannes W.M.

In: Physical review B: Condensed matter and materials physics, Vol. 68, No. 10, 10.1103/PhysRevB.68.104501, 2003, p. 104501.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Static semifluxons in a long Josephson junction with π-discontinuity points

AU - Susanto, H.

AU - van Gils, Stephanus A.

AU - Visser, T.P.P.

AU - Ariando, A.

AU - Smilde, H.J.H.

AU - Hilgenkamp, Johannes W.M.

PY - 2003

Y1 - 2003

N2 - We investigate analytically a long Josephson junction with several $\pi$-discontinuity points characterized by a jump of $\pi$ in the phase difference of the junction. The system is described by a perturbed-combined sine-Gordon equation. Via phase-portrait analysis, it is shown how the existence of static semifluxons localized around the discontinuity points is influenced by the applied bias current. In junctions with more than one corner, there is a minimum-facet-length for semifluxons to be spontaneously generated. A stability analysis is used to obtain the minimum-facet-length for multicorner junctions.

AB - We investigate analytically a long Josephson junction with several $\pi$-discontinuity points characterized by a jump of $\pi$ in the phase difference of the junction. The system is described by a perturbed-combined sine-Gordon equation. Via phase-portrait analysis, it is shown how the existence of static semifluxons localized around the discontinuity points is influenced by the applied bias current. In junctions with more than one corner, there is a minimum-facet-length for semifluxons to be spontaneously generated. A stability analysis is used to obtain the minimum-facet-length for multicorner junctions.

KW - METIS-218132

KW - EWI-13978

KW - IR-68245

U2 - 10.1103/PhysRevB.68.104501

DO - 10.1103/PhysRevB.68.104501

M3 - Article

VL - 68

SP - 104501

JO - Physical review B: Condensed matter and materials physics

JF - Physical review B: Condensed matter and materials physics

SN - 1098-0121

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