Series of magnetoresistance oscillations of a two-dimensional electron gas in a strong periodic magnetic modulation

A nonperturbative technique is used to calculate the magnetoresistance of two-dimensional electron gases (2DEG) subjected to a spatially periodic magnetic field B-1 with period a in addition to a uniform magnetic field B-0 in the same direction. For small amplitude modulation, magnetoresistance exhibits oscillations similar to the Weiss oscillations observed in 2DEG under spatially periodic electric field and uniform magnetic field. In general, the oscillation is characterized by two ratios: beta = 2 pi l/a and gamma = B-1/B-0, at low magnetic modulations, with l being the magnetic length corresponding to B-0. Quenching of Weiss oscillations first appears as gamma increases for fixed B-0, and a series of oscillations then appears in our nonperturbative calculation for larger gamma. The temperature dependence of these oscillations shows that the basic mechanism of the production of these oscillations is similar to the Weiss oscillations.