Quantized charge pumping in superconducting double barrier structure : Non-trivial correlations due to proximity effect

Abstract

We consider quantum charge pumping of electrons across a superconducting double barrier structure in the adiabatic limit. The superconducting barriers are assumed to be reflection-less so that an incident electron on the barrier can either tunnel through it or Andreev reflect from it. In this structure, quantum charge pumping can be achieved (a) by modulating the amplitudes, ${\Delta }_1$ and ${\Delta }_2$ of the two superconducting gaps or alternatively, (b) by a periodic modulation of the order parameter phases, ${\varphi }_1$ and ${\varphi }_2$ of the superconducting barriers. In the former case, we show that the superconducting gap gives rise to a very sharp resonance in the transmission resulting in quantization of pumped charge, when the pumping contour encloses the resonance. On the other hand, we find that quantization is hard to achieve in the latter case. We show that inclusion of weak electron-electron interaction in the quantum wire leads to renormalisation group evolution of the transmission amplitude towards the perfectly transmitting limit due to proximity effects. Hence as we approach the zero temperature limit, we get destruction of quantized pumped charge. This is in sharp contrast to the case of charge pumping in a double barrier in a Luttinger liquid where quantized charge pumping is actually achieved in the zero temperature limit. We also propose an experimental set-up to study these effects.

Final version to appear in Phys. Rev. B

References in corpus (28)

• Scattering approach to parametric pumping
• An Adiabatic Quantum Electron Pump
• Adiabatic charge pumping in almost open dots
• Adiabatic pumping through interacting quantum dots
• Charge Pumping in Carbon Nanotubes
• Junction of several weakly interacting quantum wires: a renormalization group study
• Pumping at resonant transmission and transferred charge quantization
• Pumping in an interacting quantum wire
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Charge pumping in carbon nanotube quantum dots
• Charge Pumping in Mesoscopic Systems coupled to a Superconducting Lead
• Adiabatic Pumping in Interacting Systems
• Quantized adiabatic charge pumping and resonant transmission
• Enhancement of parametric pumping due to Andreev reflection
• Adiabatic charge and spin transport in interacting quantum wires
• Renormalization group study of the conductances of interacting quantum wire systems with different geometries
• Pumping through a quantum dot in the proximity of a superconductor
• Quantization of adiabatic pumped charge in the presence of superconducting lead
• Adiabatic pumping in a Superconductor-Normal-Superconductor weak link
• Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
• Andreev interference in adiabatic pumping
• Optimal quantum pump in the presence of a superconducting lead
• Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
• Resonance energy and charge pumping through quantum SINIS contacts
• Adiabatic quantum pumping at the Josephson frequency
• Adiabatic charge pumping through a dot at the junction of N quantum wires
• Transport through multiply connected quantum wires
• Quantised charge pumping through multiple quantum dots

Cited by in corpus (5)

• An optimal topological spin pump
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Quantum charge pumping through a superconducting double barrier structure in graphene
• Quantum charge pumping through Majorana bound states
• Pumping current of a Luttinger liquid with finite length