论文标题

来自衍射状IC(H)模式的Josephson连接中磁场分布的全息映射重建

Holographic reconstruction of magnetic field distribution in a Josephson junction from diffraction-like Ic(H) patterns

论文作者

Hovhannisyan, Razmik A., Golod, Taras, Krasnov, Vladimir M.

论文摘要

磁传感器的一般问题是空间分辨率和磁场灵敏度之间的权衡。随着传感器尺寸的减小,其分辨率得到改善,但灵敏度恶化。这种权衡的消除需要开发超分辨率成像技术,而不受传感器大小的限制。在这里,我们提供了约瑟夫森交界处的超分辨率磁成像方法的概念证明。它基于反问题的解决方案 - 从临界电流对外部磁场的依赖性IC(H)的依赖性重建局部磁场分布。该方法类似于傅立叶转变全息图,衍射状的IC(H)模式用作全息图。得出一个简单的逆问题解决方案,适用于任意对称情况。我们通过数值验证该方法,并表明重建的准确性不取决于连接大小,并且仅受IC(H)模式的场范围的限制。最后,该方法使用平面NB Josephson连接进行实验测试。证明了被困在连接电极中的Abrikosov涡流中流浪磁场的超分辨率重建。因此,我们的方法促进了高场灵敏度和高空间分辨率,从而避免了磁传感器的权衡问题。我们得出的结论是,平面约瑟夫森连接的全息磁成像可用于扫描探针显微镜。

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.

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