Time-dependent electron transport through the multi-terminal quantum dot

TL;DR

This paper analyzes the time-dependent electron transport in a multi-terminal quantum dot system with external oscillating fields, deriving analytical expressions for currents and exploring transient behaviors under pulse modulations.

Contribution

It provides new analytical formulas for currents in multi-terminal quantum dots with time-dependent energy levels and bridge tunneling channels, including transient and time-averaged characteristics.

Findings

Derived explicit expressions for time-dependent currents.

Analyzed transient current responses to pulse modulations.

Calculated time-averaged current and its voltage derivative.

Abstract

We consider the time-dependent electron transport through a quantum dot connected to multiple leads in the presence of the additional over-dot (bridge) tunnelling channels by using the evolution operator technique. Each terminal and quantum dot are disturbed by an external oscillating field resulting in a time-dependence of the corresponding energy levels. The final analytical expressions for the currents flowing in the system are given assuming the wide-band limit approximation. We investigate also the transient-current characteristics in the case of the rectangular-pulse modulations imposed on the dot-lead barriers. The time-averaged current and its derivative with respect to the gate voltage have been calculated for a wide range of parameters.