The energy eigenvalues for electrons moving in two dimensions in the presence of a magnetic field are investigated. It is found that quantum oscillations similar to the de Haas-van Alphen effect can occur, even with open orbits, provided the Fermi energy is not very much greater than the energy of the last closed orbit. We also discuss the condition for effective two-dimensionality in three-dimensional systems. For closed orbits in the plane perpendicular to the field, energy gaps are found in the density of states when the Landau level spacing exceeds the bandwidth in the direction parallel to the field.
|Original language||English (US)|
|Number of pages||17|
|Journal||Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties|
|State||Published - Nov 1983|
ASJC Scopus subject areas
- Chemical Engineering(all)
- Physics and Astronomy(all)