Josephson junctions in a local inhomogeneous magnetic field

Abstract

A Josephson junction can be subjected to a local, strongly inhomogeneous magnetic field in various experimental situations. Here this problem is analyzed analytically and numerically. A modified sine-Gordon type equation in the presence of time-dependent local field is derived and solved numerically in static and dynamic cases. Two specific examples of local fields are considered: induced either by an Abrikosov vortex, or by a tip of a magnetic force microscope (MFM). It is demonstrated that a time-dependent local field can induce a dynamic flux-flow state in the junction with shuttling or unidirectional ratchetlike Josephson vortex motion. This provides a mechanism for detection and manipulation of Josephson vortices by an oscillating MFM tip. In a static case, the local field leads to a distortion of the critical current versus magnetic field, ${I}_{c}(H)$, pattern. The distortion is sensitive to both the shape and the amplitude of the local field. Therefore, the ${I}_{c}(H)$ pattern carries information about the local field distribution within the junction. This opens the possibility for employing a single Josephson junction as a scanning probe sensor with spatial resolution not limited by its geometrical size, thus obviating a known problem of a trade-off between the field sensitivity and the spatial resolution of a sensor.

Locations

• Physical review. B./Physical review. B - View - PDF
• arXiv (Cornell University) - View - PDF
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