Plasmon-pole approximation for semiconductor quantum wire electrons

TL;DR

This paper develops a plasmon-pole approximation tailored for semiconductor quantum wires, demonstrating its high accuracy in calculating electron self-energy and energy relaxation, surpassing traditional methods in one-dimensional systems.

Contribution

The paper introduces a plasmon-pole approximation specifically optimized for quantum wire systems, improving accuracy over existing approaches for one-dimensional electron gases.

Findings

The approximation is more accurate in quantum wires than in higher dimensions.

It accurately predicts electron self-energy due to Coulomb interactions.

It effectively estimates hot-electron energy relaxation rates in GaAs quantum wires.

Abstract

We develop the plasmon-pole approximation for an interacting electron gas confined in a semiconductor quantum wire. We argue that the plasmon-pole approximation becomes a more accurate approach in quantum wire systems than in higher dimensional systems because of severe phase-space restrictions on particle-hole excitations in one dimension. As examples, we use the plasmon-pole approximation to calculate the electron self-energy due to the Coulomb interaction and the hot-electron energy relaxation rate due to LO-phonon emission in GaAs quantum wires. We find that the plasmon-pole approximation works extremely well as compared with more complete many-body calculations.