Nonlinear Theory for a Quantum Diode in a Dense Fermi Magnetoplasma

P. K. Shukla and B. Eliasson
Phys. Rev. Lett. 100, 036801 – Published 22 January 2008

Abstract

We present a simple analytical nonlinear theory for quantum diodes in a dense Fermi magnetoplasma. By using the steady-state quantum hydrodynamical equations for a dense Fermi magnetoplasma, we derive coupled nonlinear Schödinger and Poisson equations. The latter are numerically solved to show the effects of the quantum statistical pressure, the quantum tunneling (or the quantum diffraction), and the external magnetic field strength on the potential and electron density profiles in a quantum diode at nanometer scales. It is found that the quantum statistical pressure introduces a lower bound on the steady electron flow in the quantum diode, while the quantum diffraction effect allows the electron tunneling at low flow speeds. The magnetic field acts as a barrier, and larger potentials are needed to drive currents through the quantum diode.

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  • Received 19 October 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.036801

©2008 American Physical Society

Authors & Affiliations

P. K. Shukla and B. Eliasson

  • Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany

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Issue

Vol. 100, Iss. 3 — 25 January 2008

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