Magnetization and spin susceptibility of an interacting two-dimensional electron gas

We study the magnetic behavior and in particular the spin susceptibility of an interacting two-dimensional electron gas in a finite in-plane magnetic field. The total energy of the system is constructed using the recent quantum Monte Carlo simulation based parametrized correlation energy as a function of density, spin polarization, and applied magnetic field. The critical magnetic field to fully spin polarize the system is obtained as a function of the electron density. The spin polarization as a function of the applied field (less than the critical field) for various densities are calculated. The spin susceptibility as a function of the applied field for various densities are calculated. The zero-field value of the spin susceptibility as a function of electron density is compared with relevant experiments.