Interplay between Coulomb Blockade and Resonant Tunneling studied by the Keldysh Green's Function Method

TL;DR

This paper develops a theoretical framework using the Keldysh Green's function method to analyze how Coulomb blockade and resonant tunneling interact in quantum dot systems, ensuring current conservation.

Contribution

It introduces a comprehensive theory that combines Coulomb blockade effects with discrete energy spectra in quantum dots using the Keldysh Green's function approach.

Findings

Derived a tunneling current expression satisfying current conservation.

Enabled analysis of combined Coulomb blockade and resonant tunneling effects.

Provided a foundation for future quantum dot transport studies.

Abstract

A theory of tunneling through a quantum dot is presented which enables us to study combined effects of Coulomb blockade and discrete energy spectrum of the dot. The expression of tunneling current is derived from the Keldysh Green's function method, and is shown to automatically satisfy the conservation at DC current of both junctions.