Electron Conductivity in High Magnetic Fields by the Test-Particle Technique

Abstract

The test-particle formalism of Rostoker is applied to electrons which move only in one dimension through randomly distributed, singly charged ions. This model is appropriate to the limit of infinite magnetic field. The test particle equations are solved to find the conductivity 0. (k, co),for arbitrary wave number k, neglecting electron-electron correlations. In the long-wavelength limit k= 0 our result agrees with previous work. We then find explicit expressions for 0. (~), using degenerate statistics for the electrons. Contributions