  Theoretical investigation of Dirac electrons in electrically modulated
graphene under perpendicular magnetic field B is presented. We have carried out
a detailed study of modulation effect on Dirac electrons, which determine its
electrical transport properties. The periodic potential broadens the Landau
levels (LL), which oscillate with magnetic field B and a comparison made with
two-dimensional electron gas system (2DEGS). We have found the effect of Hall
conductivity on electronic conduction in this system. In addition, we find that
Hall conductivity exhibits Weiss oscillations and Shubnikov de Haas (SdH)
oscillations. The effect of temperature and the period of periodic potential on
these oscillations are studied in this work. Furthermore, an integral quantum
Hall effect in graphene is also discussed.
