Abstract
Calculating the dynamical dielectric response function for a two-dimensional electron gas (2D EG) under a perpendicular magnetic field and subjected to an additional weak unidirectional periodic magnetic field within the random-phase approximation (RPA), we find that not only is the response function broadened in the presence of the magnetic modulation, but it is also found to contain a series of subsingularities at the band edges which are attributed to the magnetic modulation induced broadening of the energy spectrum.
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