@inproceedings {gammag-spp-2006, title = {Thermodynamic properties of a two-dimensional electron gas in the fractional quantum Hall regime}, booktitle = {Proceedings of the 24th Samahang Pisika ng Pilipinas Physics Congress}, year = {2006}, month = {25{\textendash}27 Oct 2006}, pages = {SPP-2006-69}, address = {Ateneo de Davao University, Davao City}, abstract = {
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} }