Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas

Details Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas

2003-11-12

arxiv.org/abs/cond-mat/0311292v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 figures

Scientific paper

10.1088/0953-8984/16/13/011

We calculate the Hartree-Fock energy of a density-wave in a spin polarized two-dimensional electron gas using a short-range repulsive interaction. We find that the stable ground state for a short-range potential is always either the paramagnetic state or the uniform ferromagnetic state. The energy of a density-wave state is, however, reduced by a factor proportional to (1 - zeta^2), where zeta is the polarization of the electron gas. Since this situation occurs in the most unfavorable conditions (short-range repulsive interaction) it is therefore conceivable that by including higher order many-body corrections to the interaction a density-wave ground state is indeed found to be stable.

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