Magnetotransport in a periodically modulated graphene monolayer

Motivated by the realization that periodic ripples in suspended graphene can result in a periodic potential, which can also be induced by interaction with a substrate, we have carried out a detailed investigation of the electrical transport properties of a graphene monolayer which is modulated by a weak one-dimensional periodic potential in the presence of a perpendicular magnetic field (B). The periodic modulation broadens the Landau Levels into bands which oscillate with B. The electronic conduction in this system can take place through either diffusive scattering or collisional scattering off impurities. Both these contributions to electronic transport are taken into account in this work. In addition to the appearance of commensurability oscillations in both the collisional and diffusive contributions, we find that Hall resistance also exhibits commensurability oscillations. Furthermore, the period and amplitude of these commensurability oscillations in the transport parameters and the effect of temperature on them are also discussed in this work.