Shapiro steps in Josephson junctions with alternating critical current density

Abstract

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 coarse-graining approach, which describes Shapiro steps in the voltage-current curves of the asymmetric grain boundaries in YBCO thin films and different superconductor-ferromagnet-superconductor Josephson-type heterostructures.

5 pages, 3 figures, accepted for publication in Phys. Rev. B

References in corpus (5)

• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• Josephson effect in double-barrier superconductor-ferromagnet junctions
• Dynamics of semifluxons in Nb long Josephson 0-pi junctions
• Dynamical effects of an unconventional current-phase relation in YBCO dc-SQUIDs
• Analytical analysis of ground states on 0-$\pi$ long Josephson junctions

Cited by in corpus (5)

• The Physics of Pair Density Waves
• Josephson junctions with negative second harmonic in the current-phase relation: properties of novel varphi-junctions
• Anomalous transport in biased ac-driven Josephson junctions: Negative conductances
• Half-integer Shapiro Steps in Strong Ferromagnetic Josephson Junctions
• Bistability in superconducting rings containing an inhomogeneous Josephson junction