A Matrix Formulation of Magnetoresistance for an Arbitrary J-Fold Multicarrier System via the Reduced-Conductivity -Tensor Scheme in the Non-Quantizing Weak-Field Regime

Published

July 1, 1998

Author(s)

Jin S. Kim

Abstract

In this paper, a matrix formulation of magnetoresistance is presented for an arbitrary J-fold multicarrier system which is based on the reduced-conductivity-tensor scheme and applicable in the non-quantizing weak-field regime. In the formalism, a unique expression of the magnetoresistance is deduced in terms of two vectors which depend on the carrier densities and mobilities, and three matrices which represent various inter-carrier couplings under the applied magnetic-field. In particular, the mobility-difference matrix plays a key role, and its simple form strongly suggests a two-carrier model of magnetoresistance. Explicit closed-form formulae of magnetoresistance are derived for the two-carrier (J = 2) and three-carrier (J = 3) systems as special cases of the general formalism. The field-dependence and asymptotic behavior of the magnetoresistance are also discussed, and a two-carrier model of magnetoresistance is formally proposed.

Citation

Journal of Applied Physics

Volume

84

Issue

1

Pub Type

Journals

Keywords

carrier-transport, Hall-measurement, magnetoresistance, magnetotransport, multicarrier analysis

Citation

Kim, J. (1998), A Matrix Formulation of Magnetoresistance for an Arbitrary J-Fold Multicarrier System via the Reduced-Conductivity -Tensor Scheme in the Non-Quantizing Weak-Field Regime, Journal of Applied Physics (Accessed October 15, 2025)