Enhancement of crossed Andreev reflection in a superconducting ladder connected to normal metal leads

Abstract

Crossed Andreev reflection (cAR) is a scattering process that happens in a quantum transport set-up consisting of two normal metals (NM) attached to a superconductor (SC), where an electron incident from one NM results in a hole emerging in the other. Typically, an electron tunnelling through the superconductor from one NM to the other (ET) competes with cAR and masks the signature of cAR in the conductance spectrum. We propose a novel scheme to enhance cAR, in which SC part of the NM-SC-NM is side-coupled to another SC having a different SC phase to form a Josephson junction in the transverse direction. At strong enough coupling and adequate phase difference, one can smoothly traverse between highly ET-dominant to highly cAR-dominant transport regimes by tuning chemical potential, due to the appearance of subgap Andreev states that are extended in the longitudinal direction. We also discuss connections to realistic systems.

7 pages, 5 figures. Published version. Typos corrected

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• Transverse shift in crossed Andreev reflection
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• Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads
• Transconductance as a probe of nonlocality of Majorana fermions
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors
• Finite transverse conductance and anisotropic magnetoconductance under an applied in-plane magnetic field in two-dimensional electron gases with strong spin-orbit coupling
• Scattering in quantum wires and junctions of quantum wires with edge states of quantum spin Hall insulators
• Josephson diode effect in one-dimensional quantum wires connected to superconductors with mixed singlet-triplet pairing
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Fabry-Pérot interference in Josephson junctions
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Transverse currents in spin transistors
• Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Non-local Andreev reflection through Andreev molecular states in graphene Josephson junctions
• Efficient Cooper Pair Splitting Without Interactions
• Decoherence in electron transport: back-scattering, effect on interference and rectification