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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 · Physical Review B

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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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