Unconventional pairing induced anomalous transverse shift in Andreev reflection

Abstract

Superconductors with unconventional pairings have been a fascinating subject of research, for which a central issue is to explore effects that can be used to characterize the pairing. The process of Andreev reflection--the reflection of an electron as a hole at a normal-mental-superconductor interface by transferring a Cooper pair into the superconductor--offers a basic mechanism to probe the pairing through transport. Here we predict that in Andreev reflection from unconventional superconductors, the reflected hole acquires an anomalous spatial shift normal to the plane of incidence, arising from the unconventional pairing. The transverse shift is sensitive to the superconducting gap structure, exhibiting characteristic features for each pairing type, and can be detected as voltage signals. Our work not only unveils a fundamentally new effect but also suggests a powerful new technique capable of probing the structure of unconventional pairings.

4 pages, 4 figures

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• Super-Andreev reflection and longitudinal shift of pseudospin-one fermions
• Transverse shift in crossed Andreev reflection
• Anomalous spatial shifts in interface electronic scattering
• Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement
• Well-defined Fano effect in the Andreev reflection process of a parallel double-quantum-dot structure
• Strain-Fluctuation-Induced Near-Quantization of Valley Hall Conductivity in Graphene Systems