Theory of the AC Hall Effect and Magnetoresistance in Polycrystalline Systems

Abstract

AbstractThe theory of the ac Hall effect and magnetoresistance for systems which consist of randomly oriented anisotropic crystallites is developed. The effective‐medium theory is used. The large frequency region, where ω < τ−1 (τ is the electron mean free time) is investigated. It is shown that the real parts of the dynamic conductivity, the Hall conductivity, the Hall mobility, the Hall coefficient, the magnetoconductivity, and the magnetoresistance have low‐ and high‐frequency plateaus. The high‐frequency plateau begins in the vicinity of the frequency ω0 ≈ τ, where τM is the Maxwell relaxation time (τM » τ).