Dirac electron in graphene under supersymmetry generated magnetic fields

We use supersymmetry transformations to obtain new one parameter families of inhomogeneous magnetic fields for which the massless Dirac electron possesses exact solutions. The inhomogeneity appearing in can be controlled by the parameter λ. The obtained magnetic fields are interpreted as deformed variants of some physically attainable well known magnetic fields. A particular example, that of a constant magnetic field being deformed, is considered to show that equidistant Landau levels exist even in the presence of an infinite number of specially designed inhomogeneous magnetic fields.