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. 2022 Jun 27;13:3658. doi: 10.1038/s41467-022-31256-w

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© The Author(s) 2022

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 4 — a Without a vortex, b with a trapped vortex, and c with an antivortex. Top panels show the I_c(H) modulations. Middle panels show the nonreciprocities, ∣I_c+/I_c−∣, upper curves, and I_c−/I_c+, lower curves. Bottom panels show rectified dc-voltage calculated for harmonic ac-bias with I_ac = 220 μA ≃ I_c0. Black and olive lines represent data for junctions 1 and 2 on D1, red lines are numerical fits. Appearance of a profound nonreciprocity and rectification at H = 0 is marked by cyan circles in b, c. All measurements are performed at T ≃ 6.9 K.