Eur. Phys. J. B 76, 283-287 (2010)
https://doi.org/10.1140/epjb/e2010-00187-1

Dynamical electron transport through a nanoelectromechanical wire in a magnetic field

¹ Department of Physics, Soongsil University, Seoul, 156-743, Korea
² Department of Physics, Chungnam National University, Daejeon, 305-764, Korea

Corresponding authors: ^a hyi@ssu.ac.kr - ^b ahnkh@cnu.ac.kr

Received: 12 January 2010
Revised: 1 April 2010
Published online: 22 June 2010

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 the electron-electron interaction is considered nonperturbatively and the electric current and mechanical vibration are treated fully quantum mechanically on an equal footing. We demonstrate our theory by calculating the admittance of a finite-size wire, which is influenced by the magnetic field strength, the electron-electron interaction, and the complex interplay between the mechanical and the electrical energy scales. Nontrivial features including sharp resonance peaks appear in the admittance, which may be experimentally observable.