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

R. G. Mints, Ilya Papiashvili

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 boundari…