Spatially modulated magnetic fields induced modification of magnetic bands of monolayer zigzag graphene ribbons

Magnetic bands of the hydrogen-terminated monolayer zigzag graphene ribbon subject to the spatially inhomogeneous magnetic field (Binhom) are investigated through the Peierls-coupling tight-binding model. Binhom is a constant magnetic field defined on a strip of finite width that is smaller than the ribbon width. Binhom, step-function-like magnetic field, can change band shapes, alter band curvature, shift band edge states, and hybridize parabolic bands, sublinear bands, partial Landau levels, and Hall edge states. Such a Binhom not only induces Landau levels in the magnetic field but also modifies the parabolic bands along the boundary between the magnetic and nonmagnetic areas. The magnetic bands are strongly dependent on the configuration of the spatially inhomogeneous magnetic field. Density of states, e.g., the position, height and number of dominant strong peaks, feature such interesting characteristics.