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

Abstract

We study nonlocal transport in a two-leg Kitaev ladder connected to two normal metals. The coupling between the two legs of the ladder when the legs are maintained at a (large) superconducting phase difference, results in the creation of subgap Andreev states. These states in turn are responsible for the enhancement of crossed Andreev reflection. We find that tuning the different parameters of the system suitably leads to enhancement of crossed Andreev reflection signalled by transconductance acquiring the most negative value possible. Furthermore, subgap states cause oscillations of the transconductance as a function of various system parameters such as chemical potential and ladder length, which are seen to be a consequence of Fabry-Pérot resonance.

arXiv comment11 pages, 15 figures

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• Flat bands and entanglement in the Kitaev ladder
• Transconductance as a probe of nonlocality of Majorana fermions
• Crossed Andreev reflection in topological insulator nanowire T-junctions
• Finite transverse conductance and anisotropic magnetoconductance under an applied in-plane magnetic field in two-dimensional electron gases with strong spin-orbit coupling
• 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
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
• Non-local Andreev reflection through Andreev molecular states in graphene Josephson junctions
• Efficient Cooper Pair Splitting Without Interactions
• Josephson effects between the Kitaev ladder superconductors