Hartree–Fock energy of a density wave in a spin-polarized two-dimensional electron gas
Juana Moreno, D. C. Marinescu
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.
arXiv:cond-mat/0311292•Journal of Physics Condensed Matter•Mar 19, 2004•0 citations