Andreev interference in adiabatic pumping

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.

4 pages, 1 figure

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• Interaction-induced charge and spin pumping through a quantum dot at finite bias
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• Topological pumping in class-D superconducting wires
• Nonlocal pure spin current injection via quantum pumping and crossed Andreev reflection
• Nonadiabatic Josephson current pumping by microwave irradiation
• Adiabatic quantum pumping at the Josephson frequency
• Andreev levels spectroscopy of topological three-terminal junctions
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• Topologically protected heat pumping from braiding Majorana zero modes
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• Optimized Cooper pair pumps
• Quantum transport phenomena induced by time-dependent fields
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes