We treat theoretically Shapiro steps in tunnel Josephson junctions with spatially alternating critical current density. Explicit analytical formulas for the width of the first integer (normal) and half-integer (anomalous) Shapiro steps are derived for short junctions. We develop a coarse-graining approach, which describes Shapiro steps in the voltage-current curves of the asymmetric grain boundaries in yttrium barium copper oxide thin films and different superconductor-ferromagnet-superconductor Josephson-type heterostructures.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - 23 Aug 2007|