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

H. Susanto; S.A. van Gils; A. Doelman; G. Derks

doi:10.1103/PhysRevB.69.212503

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

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

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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)φ₀ 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 $3φ₀/2 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)φ₀ 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	https://doi.org/10.1103/PhysRevB.69.212503
Publication status	Published - 2004

Keywords

Mathematical analysis

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Susanto, H., van Gils, S. A., Doelman, A., & Derks, G. (2004). Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case. Physical Review B (Condensed Matter and Materials Physics), 69(21), [212503]. https://doi.org/10.1103/PhysRevB.69.212503

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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)φ0 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 $3φ0/2 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)φ0 state.",

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AU - Susanto, H.

AU - van Gils, S.A.

AU - Doelman, A.

AU - Derks, G.

PY - 2004

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AB - 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)φ0 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 $3φ0/2 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)φ0 state.

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