Electronic properties of monolayer MoS2 in a modulated magnetic field

The low-energy electronic properties of molybdenum disulfide subject to the influence of a spatially-modulated magnetic field are investigated by using the Peierls tight-binding method. The band structure is found to be composed of many oscillatory parabolic subbands, which are left-right asymmetric. The electronic properties are strongly dependent on the strength and period of the modulated field. The density of states (DOS) displays many asymmetric square-root divergent peaks originating from these parabolic subbands. They can be categorized into primary and secondary peaks according to their heights. The evolution of the DOS peaks with the field strength and modulation period is explored. The energies of the DOS peaks are linearly dependent on the field strength. Furthermore, the energies of the primary peaks depend weakly on the modulation period, whereas those of the secondary ones diminish with rising period. These predictions can be validated by measuring the spectra of STS or performing magneto transmission experiments. The effects of the spin-orbit coupling on the energy spectrum and DOS are also investigated.