Dynamical electron transport through a nanoelectromechanical wire in a magnetic field

TL;DR

This paper presents an exactly solvable quantum model of a nanoelectromechanical wire in a magnetic field, revealing how electron transport and mechanical vibrations influence each other through quantum effects like Aharonov-Bohm phases.

Contribution

It introduces a fully quantum mechanical model that simultaneously treats electron transport and mechanical vibrations in a nanoelectromechanical system under magnetic influence.

Findings

Quantum fluctuations of Aharonov-Bohm phases affect mechanical vibrations.

Electrical admittance depends on interplay between mechanical, electrical, and magnetic parameters.

The model provides insights into coupled electron-mechanical dynamics in nanoscale systems.

Abstract

We investigate dynamical transport properties of interacting electrons moving in a vibrating nanoelectromechanical wire in a magnetic field. We have built an exactly solvable model in which electric current and mechanical oscillation are treated fully quantum mechanically on an equal footing. Quantum mechanically fluctuating Aharonov-Bohm phases obtained by the electrons cause nontrivial contribution to mechanical vibration and electrical conduction of the wire. We demonstrate our theory by calculating the admittance of the wire which are influenced by the multiple interplay between the mechanical and the electrical energy scales, magnetic field strength, and the electron-electron interaction.