Dichalcogenide Landau miniband dynamics and spectrum in an antidot superlattice

This work addresses the dynamics of carriers in the Group VI dichalcogenides in a quantizing magnetic field with a model anti-dot superlattice in the system. The Green’s function describing the quantum dynamical development along the axis of the lattice is determined explicitly in terms of the known “no-lattice” dichalcogenide Green’s function subject to Landau quantization. The associated eigen-energy dispersion relation is formulated and approximately solved for weak lattice coupling, explicitly tracing the formation of Landau minibands in the spectrum of “relativistic” dichalcogenide carriers in a normal, quantizing magnetic field.