Chaotic dynamics of electron resonant tunneling in a quasi-one-dimensional superlattice

POSTER

Abstract

A novel approach is employed for studying the dynamics of electron resonant tunneling in a quasi-one-dimensional superlattice. The semiclassical force-balance transport equation is used to describe the time-dependence of the dynamical equation for the electron center-of-mass velocity in the presence of an applied DC electric field and two external AC fields. Evolution of phase space trajectories from initial non-equilibrium states is obtained. The attractors of this dynamical system are determined and their stability for different sets of system parameters is obtained. Coupling between the electron's velocity and the external fields gives rise to rich spatiotemporal behavior including chaos.

Authors

  • Paula Fekete

    • US Military Academy, West Point, NY 10966
  • Godfrey Gumbs

    • Department of Physics and Astronomy, Hunter College of the City University of New York, 695 Park Avenue, New York, NY 10065 USA
    • Hunter College at the City University of New York, NY 10065
    • Hunter College, City University of New York
    • Department of Physics and Astronomy, Hunter College, City University of New York, 695 Park Avenue, New York, NY 10065, USA
    • Physics \& Astronomy Department, Hunter College, CUNY
  • Danhong Huang

    • Air Force Research Laboratory, Space Vehicles Directorate, Kirtland Air Force Base, NM 87117 USA
    • Air Force Research Laboratory, Kirtland Air Force Base, NM 87117
    • USAF Research Lab (AFRL/RVSS)
    • USAF Research lab, Kirtland AFB, NM
  • Oleksiy Roslyak

    • Hunter College at the City University of New York, NY 10065