Abstract
Using the quantum statistical method, a study is made of the effect of a dc magnetic field on the longitudinal and transverse magnetoresistance in the very low-temperature limit, and numerical results are presented for the MNENP, NENP, ENP, and EP models. The results show that the larger the magnetic field, the greater is the amplitude of the oscillations. The amplitude of oscillations in the transverse magnetoresistance is much larger than that in the longitudinal magnetoresistance. There are spikelike discontinuities in the transverse magnetoresistance. The quantum oscillations of both magnetoresistances for the MNENP model show up much more clearly than those for the NENP, ENP, and EP models.
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