We investigate the chemical potential μ and specific heat *CV* of a two-dimensional electron gas at temperatures *T*\<1 K subject to high magnetic fields *B* that correspond to filling factors *ν*\<1. We found out that at *ν*=1/2, the chemical potential is pinned at ℏω_c/2 which is equal to the energy of the first Landau level. The μ(*T*) increases when *ν*\>1/2 and decreases when *ν*\<1/2. This behavior is dictated by the change in the number of states available to the electrons. We also found out that μ(*B*) converged at ℏω_c/2 and this trend has a negligible *T*-dependence. When this behavior of the chemical potential was used in calculating the specific heat at the fractional quantum Hall filling factors, *CV*(*T*) exhibited a humpy behavior as compared to its smoothly increasing trend at the integral quantum Hall regime. This trend is a direct consequence of the discontinuities in the chemical potential.

},
author = {Rayda P Gammag and Cristine Villagonzalo}
}