Time Periodic Behavior of Multiband Superlattices in Static Electric Fields

TL;DR

This paper analytically investigates the behavior of multiband superlattices under static electric fields, focusing on Bloch oscillations, Zener tunneling, and the resulting radiation, with comparisons to numerical results.

Contribution

It introduces an analytic perturbation expansion for two-band tight binding systems to predict Bloch oscillations and Zener tunneling behaviors, including radiation frequency.

Findings

Analytic prediction of Zener tunneling radiation frequency.

Disappearance of radiation as a function of system parameters.

Comparison with recent numerical results confirms the model.

Abstract

We use an analytic perturbation expansion for the two-band system of tight binding electrons to discuss Bloch oscillations and Zener tunneling within this model. We make comparison with recent numerical results and predict analytically the frequency of radiation expected from Zener tunneling, including its disappearance, as a function of the system parameters.