Explicit expressions for the oscillatory behavior of the magnetoconductivity, associated with the magnetophonon resonance effect in quantum wires, are obtained in the case of polar–optical-phonon scattering, by taking the linear-response limit of the results of nonlinear-response theory [Phys. Rev. B 44, 11 328 (1991)] developed previously. The magnetoconductivity ${\mathrm{\sigma }}_{\mathit{x}\mathit{x}}$ consists of two types of contribution; one is related to the current carried by the electron hopping motion between the localized states, and the other is caused by the electron nonhopping motion within the localized states through the electron-phonon interaction. In both cases, the dependence of the magnetoconductivity on the phonon occupation number and the coupling constant of the electron–optical-phonon interaction is investigated. The results obtained here are compared with the work of some other authors.

• Received 21 June 1993

DOI:https://doi.org/10.1103/PhysRevB.48.9126