Fabry-Perot superconducting diode

Abstract

Superconducting diode effects (SDEs) occur in systems with asymmetric critical supercurrents $|I_{+}^c|\ne |I_{-}^c|$ yielding dissipationless flow in one direction $(e.g.,+)$, while dissipative transport in the opposite direction $(-)$. Here we investigate the SDE in a phase-biased $\varphi$ Josephson junction with a double-barrier resonant-tunneling InAs nanowire nested between proximitized InAs/Al leads with finite momentum $\hslash q$ Cooper pairing. Within the Bogoliubov-de Gennes (BdG) approach, we obtain the exact BCS ground state energy ${\mathcal{E}}_G(q,\varphi )$ and $I_{+}^c\ne |I_{-}^c|$ from the current-phase relation $I_G(q,\varphi )\sim {\partial }_{\varphi }{\mathcal{E}}_G(q,\varphi )$. The SDE arises from the accrued Andreev phase shifts $\delta {\varphi }_{L,R}(q,\varphi )$ leading to asymmetric BdG spectra for $q\ne 0$. Remarkably, the diode efficiency $\gamma =(I_{+}^c-|I_{-}^c|)/(I_{+}^c+|I_{-}^c|)$ shows multiple Fabry-Perot resonances $\gamma \simeq 26\%$ at the double-barrier Andreev bound states as the well depth $V_g$ is varied. Our $\gamma$ also features sign reversals for increasing $q$ and high sensitiveness to fermion-parity transitions. The latter enables $I_{+}^c({\varphi }_{+})\rightleftarrows I_{-}^c({\varphi }_{-})$ switchings over narrow phase windows, i.e., ${\varphi }_{+},{\varphi }_{-}\in \Delta \varphi \ll \pi$, possibly relevant for future superconducting electronics.

29 pages, 12 figures

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Cited by in corpus (5)

• Design of a Josephson diode based on double magnetic impurities
• Perturbative Analysis of the Field-Free Josephson Diode Effect in a Multilayered Josephson Junction
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space
• AC/DC spin current in ferromagnet/superconductor/normal metal trilayer systems
• Andreev qubit readout from dynamic interference supercurrent