Ground-state energy of spin polarized two-dimensional electron gas in the presence of impurity scattering

Abstract

In the present work we study the spin polarization effects on the ground-state energy of an interacting two-dimensional electron gas in the presence of disorder scattering (impurity scattering) at arbitrarily spin polarization for various electron densities. For this purpose we employ the modified density-density correlation function at small values of wave-vector and frequency in the framework of linear response theory to calculate the exchange, correlation and ground-state energy for a spin polarized two-dimensional disordered electron gas. Our results show that the effect of spin polarization on the exchange, correlation and ground-state energy becomes considerable at high densities. We also conclude that the two-dimensional disordered electron system becomes unstable by increasing the spin polarization degree.

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