Electronic Bloch oscillation in a pristine monolayer graphene

TL;DR

This paper analytically investigates Bloch oscillations of electrons in pristine monolayer graphene under a constant electric field, revealing how the electric field influences electron motion and oscillation characteristics.

Contribution

It provides a simple analytical derivation of the semi-classical velocity and explores the effects of electric field on Bloch oscillations in graphene.

Findings

Electric field influences non-collinear electron motion.

Derived formulas for oscillation frequency and amplitude.

Electric field causes acceleration or oscillation in different components.

Abstract

In a pristine monolayer graphene subjected to a constant electric field along the layer, the Bloch oscillation of an electron is studied in a simple and efficient way. By using the electronic dispersion relation, the formula of a semi-classical velocity is derived analytically, and then many aspects of Bloch oscillation, such as its frequency, amplitude, as well as the direction of the oscillation, are investigated. It is interesting to find that the electric field affects the component of motion, which is non-collinear with electric field, and leads the particle to be accelerated or oscillated in another component.