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Ground states of one and two fractional vortices in long Josephson 0-kappa-junctions

E. Goldobin·D. Koelle·R. Kleiner
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Abstract

Half integer Josephson vortices in 0-$π$-junctions, discussed theoretically and observed experimentally, spontaneously appear at the point where the Josephson phase is $π$-discontinuous. The creation of \emph{arbitrary} discontinuities of the Josephson phase has been demonstrated recently. Here we study fractional vortices formed at an arbitrary $κ$-discontinuity, discuss their stability and possible ground states. The two stable states are not mirror symmetric. Furthermore, the possible ground states formed at two $κ$-discontinuities separated by a distance $a$ are investigated, and the energy and the regions of stability of each ground state are calculated. We also show that the ground states may strongly depend on the distance $a$ between the discontinuities. There is a crossover distance $a_c$ such that for $a a_c$ the ground states may be qualitatively different.

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E. Goldobin, D. Koelle, R. Kleiner. 2004-08-11. Ground states of one and two fractional vortices in long Josephson 0-kappa-junctions. https://doi.org/10.1103/physrevb.70.174519

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