Hubbard Bands, Mott Transition and Deconfinement in Strongly Correlated Systems

Abstract

The problem of deconfinement phases in strongly correlated systems is discussed. In space–time dimension $$d = 3 + 1$$, a competition of confinement and Coulomb phases occurs, but in $$d = 2 + 1$$ the confining phase dominates owing to monopole proliferation, but Dirac points can change the situation. Combining the Kotliar–Ruckenstein representation and fractionalized spin-liquid deconfinement picture, the Mott transition and Hubbard subbands are treated, general expressions in the case of an arbitrary bare band spectrum being obtained. The transition into a metallic state is determined by condensation of a gapless boson mode. The spectrum picture in the insulating state is considerably influenced by the spinon spin-liquid spectrum and hidden Fermi surface.