Adiabatic charge pumping in almost open dots

TL;DR

This paper investigates adiabatic charge pumping in nearly open quantum dots, demonstrating quantized charge transfer at low temperatures and deriving an explicit formula for finite temperatures, highlighting the roles of dissipative and non-dissipative currents.

Contribution

It provides an explicit analytic expression for pumped charge at finite temperature in almost open quantum dots, including the effects of dissipative currents.

Findings

Charge is quantized in the zero-temperature limit.

Finite temperature introduces corrections related to conductance.

Both dissipative and non-dissipative currents contribute to charge transport.

Abstract

We consider adiabatic charge transport through an almost open quantum dot. We show that the charge transmitted in one cycle is quantized in the limit of vanishing temperature and one-electron mean level spacing in the dot. The explicit analytic expression for the pumped charge at finite temperature is obtained for spinless electrons. The pumped charge is produced by both non-dissipative and dissipative currents. The latter are responsible for the corrections to charge quantization which are expressed through the conductance of the system.