Andreev interference in adiabatic pumping

TL;DR

This paper models adiabatic quantum pumping in hybrid normal/superconductor systems, revealing how Andreev interference affects pumped charge, with implications for phase-dependent transport properties.

Contribution

It introduces a scattering approach model for adiabatic pumping in multi-lead hybrid systems, highlighting the role of Andreev interference effects.

Findings

Andreev interference influences pumped charge in hybrid systems.

Pumped current symmetry differs from voltage-driven transport.

Derived expressions for charge in various scattering configurations.

Abstract

Within the scattering approach, we develop a model for adiabatic quantum pumping in hybrid normal/superconductor systems where several superconducting leads are present. This is exploited to study Andreev-interference effects on adiabatically pumped charge in a 3-arm beam splitter attached to one normal and two superconducting leads with different phases of the order parameters. We derive expressions for the pumped charge through the normal lead for different parameters for the scattering region, and elucidate the effects due to Andreev interference. In contrast to what happens for voltage-driven transport, Andreev interference does not yield in general a pumped current which is a symmetric function of the superconducting-phase difference.