Galvanomagnetic Effects in Oriented Single Crystals ofn-Type Germanium

Abstract

Measurements of the magnetoresistance, Hall, and planar Hall coefficients have been made on oriented single crystals of $n$-type germanium at 77° and 300°K. At 77°K measurements made as a function of the magnetic field strength and of the angle between the current and the magnetic field are found to be in agreement with theoretical calculations based on an energy-independent mean free time ${\tau }_0$ which has the same form of anisotropy as the effective mass at the bottom of the conduction band. The value of ${\tau }_0$ is determined from previously described Hall measurements and the anisotropy factor $K$ is determined from the high-field longitudinal magnetoresistance. $K$ decreases from about 16 to about 12 or 13 as the electron density increases from about 5.4×${10}^{13}$ ${\mathrm{cm}}^{-3\mathrm{}}$ to about 5.2×${10}^{14}$ ${\mathrm{cm}}^{-3\mathrm{}}$.