Quantum Extension of Child-Langmuir Law

Abstract

Using a simple mean field model of the electron-electron interaction, we have studied the effect of space charge in a planar diode. Our results show, in particular, that the classical value for the limiting current in such a diode can be exceeded by a large factor due to the effect of tunneling. The smooth transition of the solutions from the quantum to the classical (non-quantum) regime is demonstrated.

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Document Details

Document Type
Technical Report
Publication Date
Feb 18, 1991
Accession Number
ADA232407

Entities

People

  • D. Chernin
  • Dennis G. Colombant
  • P. T. Ho
  • Yueying Lau

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Current Density
  • Differential Equations
  • Electrical Engineering
  • Electron Density
  • Electron Electron Interactions
  • Electrons
  • Engineering
  • Equations
  • Exclusion Principle
  • Plane Waves
  • Poisson Equation
  • Quantum Tunneling
  • Space Charge
  • Transitions
  • Tunneling
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Pulsed Power and Plasma Physics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Quantum Computing
  • Space