Abstract
The degeneracy of Landau levels in perforated two-dimensional electronic structures is lifted in a perpendicular magnetic field. The cylindrical symmetry of the problem with a circular antidot holds and the magnetic quantum number m = 0, ±1, ±2, … is a good quantum number. The splitting of Landau levels for the antidot smaller than the magnetic length, as well as the frequencies and intensities of interband transition lines for normal semiconductors and transition metal dichalcogenide monolayers, has been analytically found.
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