Fractional Josephson vortices at YBa$_2$Cu$_3$O$_{7-x}$ grain boundaries

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Mints, R. G. ; Papiashvili, Ilya (2001)
  • Subject: Condensed Matter - Superconductivity
    arxiv: Condensed Matter::Superconductivity
We report numerical simulations of magnetic flux patterns in asymmetric 45$^{\circ}$ [001]-tilt grain boundaries in YBa$_2$Cu$_3$O$_{7-x}$ superconducting films. The grain boundaries are treated as Josephson junctions with the critical current density $j_c(x)$ alternating along the junctions. We demonstrate the existence of Josephson vortices with fractional flux quanta for both periodic and random $j_c(x)$. A method is proposed to extract fractional vortices from experimental flux patterns.
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