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Andreev scattering, Zener tunneling, and anomalous ac Josephson effect in near-ballistic quasi-two-dimensional weak links

Arne Jacobs, Reiner Kümmel

DOI 10.1103/PhysRevB.71.184504 · Physical Review B

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Abstract

The competition and cooperation of Andreev scattering and normal scattering in superconducting heterojunctions lead to the formation of Andreev-Josephson bands (AJB), whose energies vary periodically with the phase difference between the pair potentials. We compute these bands for a quasi-two-dimensional electron gas in an InAs channel between an AlSb substrate and superconducting Nb stripes separated by an AlSb barrier. In such systems ac Josephson currents with frequency 2ωJ have been observed, where ωJ=2eV∕ℏ is the canonical Josephson frequency at voltage V. In analogy with semiconductor physics Kroemer has reasoned that Zener tunneling between the AJB should be responsible for the extra oscillations of the (anomalous) ac Josephson currents. From the time-dependent Bogoliubov-de Gennes equations we calculate the ac Josephson current density j⃗J and, perturbation theoretically, the Zener-tunneling current density j⃗ZT. The total current density j⃗=j⃗J+j⃗ZT contains a strong component that oscillates with 2ωJ.

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