Holographic reconstruction of magnetic field distribution in a Josephson junction from diffraction-like Ic(H) patterns
arXiv:2205.12837 · doi:10.1103/PhysRevB.105.214513
Abstract
A general problem of magnetic sensors is a trade-off between spatial resolution and magnetic field sensitivity. With decreasing sensor size its resolution is improved but the sensitivity is deteriorated. Obviation of such the trade-off requires development of super-resolution imaging technique, not limited by the sensor size. Here we present a proof of concept for a super-resolution method of magnetic imaging by a Josephson junction. It is based on a solution of an inverse problem - reconstruction of a local magnetic field distribution within a junction from the dependence of the critical current on an external magnetic field, Ic(H). The method resembles the Fourier-transform holography, with the diffraction-like Ic(H) pattern serving as a hologram. A simple inverse problem solution, valid for an arbitrary symmetric case, is derived. We verify the method numerically and show that the accuracy of reconstruction does not depend on the junction size and is only limited by the field range of the Ic(H) pattern. Finally, the method is tested experimentally using planar Nb Josephson junctions. Super-resolution reconstruction of stray magnetic fields from an Abrikosov vortex, trapped in the junction electrodes, is demonstrated. Thus, our method facilitate both the high field sensitivity and high spatial resolution, obviating the trade-off problem of magnetic sensors. We conclude that the holographic magnetic imaging by a planar Josephson junction can be used in scanning probe microscopy.
arXiv comment11 pages, 7 figures
References in corpus (20)
- A robust, scanning quantum system for nanoscale sensing and imaging
- Scanning nano-SQUID with single electron spin sensitivity
- Nano Superconducting Quantum Interference device: a powerful tool for nanoscale investigations
- Practical algorithms for simulation and reconstruction of digital in-line holograms
- Nanoscale magnetic field mapping with a single spin scanning probe magnetometer
- Imaging of super-fast dynamics and flow instabilities of superconducting vortices
- Magnetic domains and domain wall pinning in two-dimensional ferromagnets revealed by nanoscale imaging
- Scanning SQUID susceptometers with sub-micron spatial resolution
- Scanning nano-spin ensemble microscope for nanoscale magnetic and thermal imaging
- Detection of the phase shift from a single quantized superconducting vortex
- Quantum Holographic Encoding in a Two-dimensional Electron Gas
- Evidence for nonlocal electrodynamics in planar Josephson junctions
- Planar Superconductor-Ferromagnet-Superconductor Josephson junctions as scanning probe sensors
- Josephson junctions in a local inhomogeneous magnetic field
- Mechanism of generation of a Josephson phase shift by an Abrikosov vortex
- Electrically tunable multi-terminal SQUID-on-tip
- Dynamics of single vortices in grain boundaries: I-V characteristics on the femto-volt scale
- Manipulating multi-vortex states in superconducting structures
- Imaging and controlling vortex dynamics in mesoscopic superconductor-normal-metal-superconductor arrays
- Imaging phase slip dynamics in micron-size superconducting rings