Hot Electron Magnetophonon Resonances in Conduction and Noise for a Nondegenerate Semiconductor

The nonlinear transverse magnetoresistivity of conduction electrons subject to inelastic scatterings by longitudinal optical phonons in a non‐degenerate semiconductor is determined using a balance equation approach. Magnetophonon resonances are examined in both, the linear and nonlinear transverse magnetoresistivities; and the electron temperature in an intense electric field is calculated as a function of the magnetic field, showing significant electron resonant cooling. The nonlinear current saturation in a high electric field is also studied, and is shown to be independent of the magnetic field. The thermal noise temperature for hot electrons at a nonzero bias is also examined, and exhibit its oscillatory behavior as a function of magnetic field.