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Andreev reflection from noncentrosymmetric superconductors and Majorana bound-state generation in half-metallic ferromagnets

Mathias Duckheim and Piet W. Brouwer
Phys. Rev. B 83, 054513 – Published 23 February 2011

Abstract

We study Andreev reflection at an interface between a half metal and a superconductor with spin-orbit interaction. While the absence of minority carriers in the half metal makes singlet Andreev reflection impossible, the spin-orbit interaction gives rise to triplet Andreev reflection (i.e., the reflection of a majority electron into a majority hole or vice versa). As an application of our calculation, we consider a thin half-metal film or wire laterally attached to a superconducting contact. If the half metal is disorder free, an excitation gap is opened that is proportional to the spin-orbit interaction strength in the superconductor. For electrons with energy below this gap a lateral half-metal–superconductor contact becomes a perfect triplet Andreev reflector. We show that the system supports localized Majorana end states in this limit.

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  • Received 26 November 2010

DOI:https://doi.org/10.1103/PhysRevB.83.054513

©2011 American Physical Society

Authors & Affiliations

Mathias Duckheim and Piet W. Brouwer

  • Dahlem Center for Complex Quantum Systems and Institut für Physik, Freie Universität Berlin, D-14195 Berlin, Germany

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Issue

Vol. 83, Iss. 5 — 1 February 2011

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Images

  • Figure 1
    Figure 1
    (a) Interface between a half metal (H ) and a superconductor (S). For a superconductor with spin-orbit scattering, normal reflection as well as triplet Andreev reflection—the reflection of a majority electron (e) into a majority hole (h)—take place at the HS interface. (b) A lateral contact between a half-metallic film or wire of thickness d and a superconductor. For a lateral contact, an effective Andreev reflection amplitude rheeff for electrons moving toward the contact region can be defined, which describes the combined effect of multiple reflections at the H S interface.Reuse & Permissions
  • Figure 2
    Figure 2
    (a) Serial and (b) a lateral superconductor–half-metal–superconductor (SHS) junction.Reuse & Permissions
  • Figure 3
    Figure 3
    A lateral contact between a half-metallic film or wire and a superconductor. The contact has length L, with a segment of length δL singled out. The main text describes how the effective Andreev reflection of the entire lateral contact is calculated, starting from the effective Andreev reflection amplitudes ρheδL and ρehδL of the segment of length δL. As discussed in Sec. 6, inserting a normally reflecting boundary at the left end of the H film or wire gives rise to a Majorana bound state.Reuse & Permissions
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