Longitudinal magnetoresistance of layered crystals in a quantizing magnetic field taking into account the spin splitting

The magnetoresistance of layered crystals in a longitudinal quantizing magnetic field by taking into account the spin splitting is theoretically investigated. The general expression for the electrical conductivity of a quasi two-dimensional electron gas at the deformation-potential scattering has been obtained. In the behavior of the specific resistance, peaks have been revealed, and a number and positions of the peaks are dictated by the spin splitting magnitude.