Single-particle spectrum of a dilute 2D electron gas

Single-particle spectra of a homogeneous 2D electron gas have been calculated in the microscopic functional approach. The effective mass in this system is found to diverge at r _s ≃ 7. It is shown that the inclusion of the local exchange and correlation corrections to the effective interaction modifies the instability picture from that obtained in the random phase approximation: in the latter, the instability arises away from the Fermi surface, whereas, with the introduction of the corrections, it manifests itself as the divergence of the effective mass.