# Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case

H. Susanto, Stephanus A. van Gils, A. Doelman, G. Derks

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)

### Abstract

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.
Original language Undefined 10.1103/PhysRevB.69.212503 212503 4 Physical Review B (Condensed Matter and Materials Physics) 69 21 https://doi.org/10.1103/PhysRevB.69.212503 Published - 2004

### Keywords

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

### Cite this

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title = "Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case",
abstract = "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.",
keywords = "Mathematical analysis, EWI-13975, METIS-218128, IR-68242",
author = "H. Susanto and {van Gils}, {Stephanus A.} and A. Doelman and G. Derks",
year = "2004",
doi = "10.1103/PhysRevB.69.212503",
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journal = "Physical review B: Covering condensed matter and materials physics",
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Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ0/2-flux case. / Susanto, H.; van Gils, Stephanus A.; Doelman, A.; Derks, G.

In: Physical Review B (Condensed Matter and Materials Physics), Vol. 69, No. 21, 10.1103/PhysRevB.69.212503, 2004, p. 212503.

Research output: Contribution to journalArticleAcademicpeer-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 -