Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States

Abstract

Chiral $p$-wave superconductor is the primary example of topological systems hosting chiral Majorana edge states. Although candidate materials exist, the conclusive signature of chiral Majorana edge states has not yet been observed in experiments. Here we propose a smoking-gun experiment to detect the chiral Majorana edge states on the basis of theoretical results for the nonlocal conductance in a device consisting of a chiral $p$-wave superconductor and two ferromagnetic leads. The chiral nature of Majorana edge states causes an anomalously long-range and chirality-sensitive nonlocal transport in these junctions. These two drastic features enable us to identify the moving direction of chiral Majorana edge states in the single experimental setup.

14 pages, 6 figures

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• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
• Euler band topology in superfluids and superconductors
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Long-range Cooper pair splitting by chiral Majorana edge states
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices