The anomalous Andreev interferometer

2021 
Josephson junctions (JJs), where both time-reversal and inversion symmetry are broken, exhibit a phase shift $\varphi_0$ in their current-phase relation. This allows for an anomalous supercurrent to flow in the junction even in the absence of a phase bias between the superconductors. We show that a finite $\varphi_0$ also manifests in the so-called Andreev interferometers - a device that consists of a mesoscopic conductor coupled to the $\varphi_0$ JJ. Due to the proximity effect, the resistance of this conductor is phase-sensitive - it oscillates by varying the phase of the JJ. As a result, the quasiparticle current $I_{\mathrm{qp}}$ flowing through the conductor has an anomalous component, which exists only at finite $\varphi_0$. Thus, the Andreev interferometry could be used to probe the $\varphi_0$ effect. We consider two realizations of the $\varphi_0$ junction and calculate $I_{\mathrm{qp}}$ in the interferometer: a superconducting structure with spin-orbit coupling and a system of spin-split superconductors with spin-polarized tunneling barriers.
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