A BRIEF REPORT ON THE CURRENT STATUS OF RESONATING-VALENCE-BOND THEORY

We report on the current status of the Resonating-Valence-Bond theory, reviewing recent progress made by the Princeton group. We outline new developments concerning the topology of spinons, the geometric “meron” description, the SU(2) gauge theory for the insulating state and the possible connection between fractional quantum Hall state and an RVB state on a square lattice. The current understanding of the normal metallic and superconducting states is also summarized.