Self-generated magnetic flux in YBa${}_2$Cu${}_3$O${}_{7-x}$ grain boundaries

R. G. Mints, Ilya Papiashvili

Grain boundaries in YBa${}_2$Cu${}_3$O${}_{7-x}$ superconducting films are considered as Josephson junctions with a critical current density $j_c(x)$ alternating along the junction. A se…