 Obviously, the height of the peaks are larger as the magnetic field increases since the density of states increases with the field, so there are more carrier which contribute to the resistivity.It is interesting to notice that if the magnetic field is very small, the longitudinal resistivity is a constant which means that the classical result is reached.Transverse resistivity

From the classical relation of the transverse resistivity formula_61 and substituting formula_62 one finds out the quantization of the transverse resistivity and conductivity