Determination of the chemical potential and the energy of the u=1/2 FQHE system for low temperatures

摘要

We consider the energy density of a spin polarized $\nu=1/2$ system for lowtemperatures. We show that due to the elimination of the magnetic field and thefield of the positive background charge in the calculation of the grandcanonical potential of Chern-Simons systems through a mean field formalism onegets corrections to the well known equations which determine the chemicalpotential and the energy from the grand canonical potential. We use thesecorrected equations to calculate the chemical potential and the energy of the$\nu=1/2$ system at low temperatures in two different approximations.