THE RVB CONDUCTOR AND THE FERMI LIQUID (GUTZWILLER-BRINKMAN-RICE) CONDUCTOR

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Abstract
The doped Mott insulator has, under some conditions, qualitatively different behaviour as compared to an ordinary Fermi liquid conductor. This difference is focussed and brought out by a simple renormalisation group analysis as well as reinterpreting the known canonical transformation method and other results. We argue that there exists a separate fixed point, different from the Fermi-liquid fixed point, which governs the long wavelength and long-time scale behaviour of an RVB conductor. Also we identify the disordered local moment phase of the Hubbard model (for non-half filling) with the RVB metal phase and locate the phase boundary between the two phases. At the end we study in detail a recent construction of Anderson and show that the novel quasi-particles of an RVB conductor, namely, holons and spinons are bosons and fermions respectively.

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