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- W4306176098 abstract "The magnetic field dependent critical current $I_{text{c}}(B)$ of a Josephson junction is determined by the screening currents in its electrodes. In macroscopic junctions, a local vector potential drives the currents, however, in thin film planar junctions, with electrodes of finite size and various shapes, they are governed by non-local electrodynamics. This complicates the extraction of parameters such as the geometry of the effective junction area, the effective junction length and, the critical current density distribution from the $I_{text{c}}(B)$ interference patterns. Here we provide a method to tackle this problem by simulating the phase differences that drive the shielding currents and use those to find $I_{text{c}}(B)$. To this end, we extend the technique proposed by John Clem [Phys. Rev. B, $textbf{81}$, 144515 (2010)] to find $I_{text{c}}(B)$ for Josephson junctions separating a superconducting strip of length $L$ and width $W$ with rectangular, ellipsoid and rhomboid geometries. We find the periodicity of the interference pattern ($Delta B$) to have geometry independent limits for $L gg W$ and $L ll W$. By fabricating elliptically shaped S$-$N$-$S junctions with various aspect ratios, we experimentally verify the $L/W$ dependence of $Delta B$. Finally, we incorporate these results to correctly extract the distribution of critical currents in the junction by the Fourier analysis of $I_{text{c}}(B)$, which makes these results essential for the correct analysis of topological channels in thin film planar Josephson junctions." @default.
- W4306176098 created "2022-10-14" @default.
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- W4306176098 date "2022-10-11" @default.
- W4306176098 modified "2023-10-18" @default.
- W4306176098 title "Beyond the effective length: How to analyze magnetic interference patterns of thin film planar Josephson junctions with finite lateral dimensions" @default.
- W4306176098 doi "https://doi.org/10.48550/arxiv.2210.05388" @default.
- W4306176098 hasPublicationYear "2022" @default.
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