Quantization of adiabatic pumped charge in the presence of superconducting lead

Abstract

We investigate the parametric electron pumping of a double barrier structure in the presence of a superconducting lead. The parametric pumping is facilitated by cyclic variation of the barrier heights $x_1$ and $x_2$ of the barriers. In the weak coupling regime, there exists a resonance line in the parameter space $(x_1,x_2)$ so that the energy of the quasi-bound state is in line with the incoming Fermi energy. Levinson et al found recently that the pumped charge for each pumping cycle is quantized with $Q=2e$ for normal structure when the pumping contour encircles the resonance line. In the presence of a superconducting lead, we find that the pumped charge is quantized with the value $2e$.

References in corpus (5)

• Rectification of displacement currents in an adiabatic electron pump
• Parametric pumping at finite frequency
• Effect of inelastic scattering on parametric pumping
• Pumped current and voltage for an adiabatic quantum pump
• Enhancement of parametric pumping due to Andreev reflection

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