Magnetic field effects on the chemical potential and specific heat of a 2DEG


We investigate the effect of the filling factors on the chemical potential and the specific heat of a two-dimensional electron gas in an external magnetic field. At integer and half-integer filling factors ν the chemical potential is found to jump with an increment of ℏω_c from one Landau level to the next as the magnetic field is increased. In between these special ν's the chemical potential tends to infinitesimally increase or decrease in a stepwise manner. This behavior of the chemical potential, in turn, caused the specific heat to vary its behavior with temperature.