  In this study, we conducted a numerical investigation on the Hall conductance
($\sigma_{Hall}$) of graphene based on the magnetic energy band structure
calculated using a nonperturbative magnetic-field-containing relativistic
tight-binding approximation (MFRTB) method. The nonperturbative MFRTB can
revisit two types of plateaus for the dependence of $\sigma_{Hall}$ on Fermi
energy. One set is characterized as wide plateaus (WPs). These WPs have filling
factors (FFs) of 2, 6, 10, 14, etc. and are known as the half-integer quantum
Hall effect. The width of WPs decreases with increasing FF, which exceeds the
decrease expected from the linear dispersion relation of graphene. The other
set is characterized by narrow plateaus (NPs), which have FFs of 0, 4, 8, 12,
etc. The NPs correspond to the energy gaps caused by the spin-Zeeman effect and
spin-orbit interaction. Furthermore, it was discovered that the degeneracy of
the magnetic energy bands calculated using the nonperturbative MFRTB method
leads to a quantized $\sigma_{Hall}$.
