Specular Andreev Reflection in Graphene

C. W. J. Beenakker
Phys. Rev. Lett. 97, 067007 – Published 10 August 2006

Abstract

By combining the Dirac equation of relativistic quantum mechanics with the Bogoliubov–de Gennes equation of superconductivity we investigate the electron-hole conversion at a normal-metal–superconductor interface in graphene. We find that the Andreev reflection of Dirac fermions has several unusual features: (1) the electron and hole occupy different valleys of the band structure; (2) at normal incidence the electron-hole conversion happens with unit efficiency in spite of the large mismatch in Fermi wavelengths at the two sides of the interface; and, most fundamentally: (3) away from normal incidence the reflection angle may be the same as the angle of incidence (retroreflection) or it may be inverted (specular reflection). Specular Andreev reflection dominates in weakly doped graphene, when the Fermi wavelength in the normal region is large compared to the superconducting coherence length.

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  • Received 3 May 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.067007

©2006 American Physical Society

Authors & Affiliations

C. W. J. Beenakker

  • Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

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Issue

Vol. 97, Iss. 6 — 11 August 2006

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