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

Physics – Condensed Matter – Superconductivity

Scientific paper

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7 figures, submitted to PRB In v.2 one figure is added, and refs are updated In v.3 major revision, many issues fixed

Scientific paper

10.1103/PhysRevB.70.174519

Half integer Josephson vortices in 0-$\pi$-junctions, discussed theoretically and observed experimentally, spontaneously appear at the point where the Josephson phase is $\pi$-discontinuous. The creation of \emph{arbitrary} discontinuities of the Josephson phase has been demonstrated recently. Here we study fractional vortices formed at an arbitrary $\kappa$-discontinuity, discuss their stability and possible ground states. The two stable states are not mirror symmetric. Furthermore, the possible ground states formed at two $\kappa$-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 $aa_c$ the ground states may be qualitatively different.

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