THE EFFECT OF THE SURFACE ON THE MAGNETIC PROPERTIES OF AN ELECTRON GAS

Abstract

A determination of the magnetic susceptibility of a system of electrons confined in a box is presented which considers the dependence of susceptibility on the form of the wall potential. An improved argument is given for a cylindrical box in which the balancing of diamagnetic and paramagnetic states is clarified, and which determines (by means of the WKB approximation) the nature of the boundary states. A more detailed derivation is given which establishes corrections to the terms in the susceptibility that dominate at high field strengths. The derivation is valid only if the radius of the confining box is considerably larger than the classical orbit radius of an electron moving in a plane perpendicular to a magnetic field with energy equal to the Fermi energy of the system. Darwin's model is shown not to give the same results as the electron-in-a-box model when Fermi statistics are used.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 10, 1953
Accession Number
AD0006210

Entities

People

  • F. S. Ham
  • Harvey Brooks

Organizations

  • Harvard University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Electron Gas
  • Electrons
  • Fermi Levels
  • Magnetic Fields
  • Magnetic Properties
  • Military Research

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Space
  • Space - Hall-Effect Thruster