Magnetic energy bands of a 2D graphite layer in the spatially modulated magnetic field

A 2D graphite layer exists in a spatially modulated magnetic field. The low magnetic energy bands, which are calculated from the Peierls tight-binding model, strongly depend on the period and strength of a modulated magnetic field. There are a lot of 1D parabolic bands. Such bands exhibit the double degeneracy, strong energy dispersions, and extra band-edge states. Density of states owns many asymmetric square-root divergent structures, mainly owing to the band-edge states in 1D parabolic bands. The band-edge state energies decrease with the increasing field period, while the opposite is true for the dependence on the field strength. That a modulated magnetic field reduces dimensionality and thus drastically changes electronic properties could be examined by the experimental measurements.