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

TL;DR

This paper introduces a Fourier engineering method to design custom energy-phase relations in Josephson junctions, enabling the creation of superconducting diodes and other devices with tailored properties.

Contribution

The authors develop a systematic Fourier engineering approach for designing arbitrary energy-phase relations in Josephson junctions, demonstrating its effectiveness in creating robust superconducting diodes.

Findings

Engineered a near-ideal superconducting diode with robustness against imperfections

Demonstrated versatility by designing various energy-phase relations

Provided a systematic method for custom energy-phase relation design

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.