NON-FERMI-LIQUID BEHAVIOR IN 2 DIMENSIONS DUE TO LONG-RANGED CURRENT-CURRENT INTERACTIONS

We examine the low-energy behavior of two-dimensional electrons with c urrent-current interactions. The interactions are long range, cannot b e screened, and result in anomalies in perturbation theory. In the Har tree-Fock theory, we find an instability of the Landau Fermi-liquid st ate resulting in ''fermion-condensate'' states with a high degeneracy of levels at the Fermi energy. This degeneracy may be removed to give a Fermi-liquid state with vanishing Fermi velocity. As an example, we investigate further the Fermi-liquid state with the quasiparticle spec trum epsilon(p) is-proportional-to (P - PF)3/2 proposed by Halperin et al. Application of the recent Haldane scheme of bosonization in highe r dimensions to this state leads to coupling between bosons, which has the form required for a breakdown of the Landau Fermi-liquid behavior . A generalized form of the Luttinger liquid is obtained.