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

<div>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 <em>ν</em> 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 <em>ν</em>’s the chemical potential tends to infinitesimally increase or decrease in a stepwise manner.