Resonant Transmission through Double Quantum Dots: Model and Numerical Results

TL;DR

This paper investigates resonant electron transmission through double quantum dots using projection operator techniques, revealing transmission peaks at eigen-levels and establishing selection rules related to bonding and anti-bonding states.

Contribution

It introduces a model for resonant transmission in double quantum dots and identifies specific selection rules governing transmission peaks.

Findings

Transmission peaks occur at eigen-levels in higher electron subspaces.

Selection rules differentiate bonding and anti-bonding state contributions.

Resonant transmission is linked to system energy scanning through eigenstates.

Abstract

Via projection operator technology, we restrict our discussion of Double Quantum Dots system in subspaces of fixed electron population. When an incident electron tries to pass through the dots, we find transmission peaks occur, if the system energy scans through eigen-levels in one-more-electron higher subspace of the dots. Also, we find some selection rules for this resonant transmission. We attribute some of these rules to the differences between many-electron bonding states and anti-bonding states.