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Fabry–Pérot interference in Josephson junctions

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Abstract

Conductance of metallic heterostructures can be controlled by applying a gate voltage to a region in the transport channel. For sufficiently long phase coherent channels, oscillations appear in conductance versus chemical potential plot, which can be explained by Fabry–Pérot interference. In this work, we study DC Josephson effect in a superconductor–normal metal–superconductor junctions. The chemical potential of the normal metal (NM) region can be tuned by an applied gate voltage. We numerically obtain the Andreev bound states formed within the superconducting gap and calculate Josephson current by summing up the currents carried by the occupied Andreev bound states. We find that the Josephson current oscillates as a function of the chemical potential in the NM region, and these oscillations can be explained by Fabry–Pérot interference condition. We find that Josephson current carried by one bound state can be higher than that carried by two or more bound states.

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Acknowledgements

AS thanks DST-INSPIRE Faculty Award (Faculty Reg. no.: IFA17-PH190), SERB Core Research Grant (CRG/2022/004311) and University of Hyderabad Institute of Eminence PDF for financial support.

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Authors and Affiliations

  1. School of Physics, University of Hyderabad, Prof. C. R. Rao Road, Gachibowli, Hyderabad, 500046, India

    Sushil Kumar Sahu & Abhiram Soori

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  1. Sushil Kumar Sahu
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  2. Abhiram Soori
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Contributions

AS conceived, designed, supervised the project, drafted, and revised the manuscript. SKS performed the theoretical calculations. Both the authors analyzed the results.

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Correspondence to Abhiram Soori.

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Sahu, S.K., Soori, A. Fabry–Pérot interference in Josephson junctions. Eur. Phys. J. B 96, 115 (2023). https://doi.org/10.1140/epjb/s10051-023-00587-y

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