Double-Fourier engineering of Josephson energy-phase relationships applied to diodes

Abstract

We present a systematic method to design arbitrary energy-phase relations using parallel arms of two series Josephson tunnel junctions each. Our approach employs Fourier engineering in the energy-phase relation of each arm and the position of the arms in real space. We demonstrate our method by engineering the energy-phase relation of a near-ideal superconducting diode, which we find to be robust against the imperfections in the design parameters. Finally, we show the versatility of our approach by designing various other energy-phase relations.

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References in corpus (14)

• A Josephson junction supercurrent diode
• Supercurrent diode effect and finite momentum superconductivity
• A phenomenological theory of superconductor diodes
• Supercurrent diode effect and magnetochiral anisotropy in few-layer NbSe${}_2$
• Theory of the supercurrent diode effect in Rashba superconductors with arbitrary disorder
• The Josephson diode effect in supercurrent interferometers
• Moving beyond the transmon: Noise-protected superconducting quantum circuits
• Asymmetric higher-harmonic SQUID as a Josephson diode
• Gate Tunable Josephson Diode in Proximitized InAs Supercurrent Interferometers
• Magnetic Proximity-Induced Superconducting Diode Effect and Infinite Magnetoresistance in van der Waals Heterostructure
• Consistent Quantization of Nearly Singular Superconducting Circuits
• Hamiltonian Extrema of an Arbitrary Flux-Biased Josephson Circuit
• Engineering Framework for Optimizing Superconducting Qubit Designs
• Superconducting diode from flux biased Josephson junction arrays

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• Supercurrent Diode Effect in Josephson Interferometers with Multiband Superconductors
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• Frustrated Frustration of Arrays with Four-Terminal Nb-Pt-Nb Josephson Junctions
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• Tuning the the fundamental periodicity of the current-phase relation in multiterminal diffusive Josephson junctions
• Thermodynamic Constraints on Perfect Equilibrium Superconducting Diodes