We calculate the Hartree-Fock energy of a density-wave state in a spin-polarized two-dimensional electron system with short-range repulsive interactions. We find that the ground state is always either normal (nonmagnetic) or ferromagnetic. However, the energy of a density-wave state approaches the energy of the ferromagnetic ground state by a factor proportional to (1 - ζ2) (ζ is the polarization of the electron gas). Based on this result, we comment on the possible existence of a density-wave ground state when a more realistic interaction that includes electron correlations is considered.
Publication Source (Journal or Book title)
Journal of Physics Condensed Matter
Moreno, J., & Marinescu, D. (2004). Hartree-Fock energy of a density wave in a spin-polarized two-dimensional electron gas. Journal of Physics Condensed Matter, 16 (13), 2311-2316. https://doi.org/10.1088/0953-8984/16/13/011