Unconventional proximity-induced superconductivity in bilayer systems

2014/09/30 by Fariborz Parhizgar, Annica M. Black‐Schaffer, Annica M. Black-Schaffer
Chemistry · Physics and Astronomy · #Bilayer #Bilayer graphene #Chemistry #Condensed matter physics #Magnetic field #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Superconductivity #Topological Materials and Phenomena #Zeeman effect #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.90.184517

published as Phys. Rev. B 90, 184517 (2014) · 10 pages, 5 figures. v2 published version

openalex publication_date 2014/11/20 · arxiv created 2015/02/01 · arxiv updated 2015/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the proximity-induced superconducting state in a general bilayer--conventional s-wave superconductor hybrid structure. For the bilayer we include a general parabolic dispersion, Rashba spin-orbit coupling, and finite-layer tunneling as well as the possibility to apply a bias potential and a magnetic Zeeman field, in order to address experimentally relevant bilayer systems, ranging from topological insulator thin films to generic double quantum well systems. By extracting the proximity-induced anomalous Green's function in the bilayer, we show a very rich structure for the superconducting pairing, including different spin states and odd-frequency pairing. Equal-spin spin-triplet (p_x\ifmmode±\else\textpm\fiip_y)-wave pairing is induced in both layers in the presence of a finite spin-orbit coupling and opposite-spin spin-triplet s-wave pairing with odd-frequency dependence appears for an applied magnetic Zeeman field. Finite interlayer pairing is also generally present in the bilayer. The interlayer pairing can be either even or odd in the layer index, with a complete reciprocity between parity in frequency and in layer index. We also find that a bilayer offers the possibility of sign reversal of the superconducting order parameters, both between the two layers and between multiple Fermi surfaces.

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