We report carrier density measurements and electron-electron
(e-e) interactions in monolayer epitaxial
graphene grown on SiC. The temperature (T)-independent carrier
density determined from the Shubnikov-de Haas (SdH) oscillations clearly
demonstrates that the observed logarithmic temperature dependence of Hall slope
in our system must be due to
e-e interactions. Since the electron
density determined from conventional SdH measurements does not depend on
e-e interactions based on Kohn's
theorem, SdH experiments appear to be more reliable compared with the classical
Hall effect when one studies the T dependence of the carrier
density in the low T regime. On the other hand, the logarithmic
T dependence of the Hall slope
δRxy/δB can be
used to probe e-e interactions even when the
conventional conductivity method is not applicable due to strong electron-phonon
scattering.