Adiabatic Charge Pumping through Quantum Dots in the Coulomb Blockade Regime

TL;DR

This paper explores how Coulomb interactions affect adiabatic charge pumping in quantum dots, deriving a general current formula and analyzing charge quantization prospects under Coulomb blockade conditions.

Contribution

It introduces a new theoretical framework for calculating adiabatic pumping current in quantum dots considering Coulomb interactions.

Findings

Derived a general expression for the pumping current using nonequilibrium Green's functions.

Analyzed the dependence of pumped charge on time-dependent potentials.

Investigated charge quantization possibilities in Coulomb blockade regime.

Abstract

We investigate the influence of the Coulomb interaction on the adiabatic pumping current through quantum dots. Using nonequilibrium Green's functions techniques, we derive a general expression for the current based on the instantaneous Green's function of the dot. We apply this formula to study the dependence of the charge pumped per cycle on the time-dependent pumping potentials. The possibility of charge quantization in the presence of a finite Coulomb repulsion energy is investigated in the light of recent experiments.