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arXiv · 1509.06560

Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene

Alexander Schroer·Peter G. Silvestrov·Patrik Recher
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Abstract

Bilayer graphene hosts valley-chiral one dimensional modes at domain walls between regions of different interlayer potential or stacking order. When such a channel is brought into proximity to a superconductor, the two electrons of a Cooper pair which tunnel into it move in opposite directions because they belong to different valleys related by the time-reversal symmetry. This is a kinetic variant of Cooper pair splitting, which requires neither Coulomb repulsion nor energy filtering but is enforced by the robustness of the valley isospin in the absence of atomic-scale defects. We derive an effective model for the guided modes in proximity to an s-wave superconductor, calculate the conductance carried by split and spin-entangled electron pairs, and interpret it as a result of local Andreev reflection processes, whereas crossed Andreev reflection is absent.

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Alexander Schroer, Peter G. Silvestrov, Patrik Recher. 2015-09-22. Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene. https://doi.org/10.1103/physrevb.92.241404

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