Resonating Valence Bond Theory

Resonating valence bond liquid physics on the triangular lattice

We give an account of the short-range RVB liquid phase on the triangular lattice, starting from an elementary introduction to quantum dimer models including details of the overlap expansion used to generate them. The fate of the topological degeneracy of the state under duality is discussed, as well as recent developments including its possible relevance for quantum computing. §1. Short-range R...

Resonating Valence Bond Mechanism of Impurity Band Superconductivity in Diamond

Superconductivity in an uncompensated boron doped diamond, a very recent observation, is strikingly close to an earlier observation of Anderson-Mott insulator to metal transition, prompting us to suggest an electron correlation driven superconductivity in an impurity band. Random coulomb potential remove a three fold orbital degeneracy of boron acceptor states, resulting in an effective single,...

Heisenberg Antiferromagnet on Square-Kagomé Lattice: Resonating Valence Bond Description

Charge-ordered resonating valence bond states in doped cuprates

We study charge ordered d-wave resonating valence bond states sdRVBd in the doped cuprates, and estimate the energies of these states in a generalized t-J model by using a renormalized mean-field theory. The longrange Coulomb potential tends to modulate the charge density in favor of the charge ordered RVB state. The possible relevance to the recently observed 434 checkerboard patterns in tunne...

Resonating valence bond wave functions and classical interacting dimer models.

We relate properties of nearest-neighbor resonating valence-bond (NNRVB) wave functions for SU(g) spin systems on two-dimensional bipartite lattices to those of fully packed interacting classical dimer models on the same lattice. The interaction energy can be expressed as a sum of n-body potentials V(n), which are recursively determined from the NNRVB wave function on finite subgraphs of the or...