Galvanomagnetic Investigation of the Metal-Nonmetal Transition in Silicon

Abstract

High-field galvanomagnetic measurements are carried out on $n$- and $p$-type silicon in the concentration range corresponding to the metal-nonmetal transition. Abnormally large positive magnetoresistance is accompanied by a corresponding increase in the Hall coefficient with magnetic field. Expressions for resistivity and Hall coefficient are derived, and the predicted value of $\frac{[\frac{\ensuremath{\Delta}\ensuremath{\rho}(H)}{\ensuremath{\rho}(0)}]}{[\frac{\ensuremath{\Delta}R(H)}{R(0)}]}$ is consistent with experimental results.