The emergence of Resonating Valence Bond physics in spin - orbital models

Resonating valence bond phase in the triangular lattice quantum dimer model.

We study the quantum dimer model on the triangular lattice, which is expected to describe the singlet dynamics of frustrated Heisenberg models in phases where valence bond configurations dominate their physics. We find, in contrast to the square lattice, that there is a truly short ranged resonating valence bond phase with no gapless excitations and with deconfined, gapped, spinons for a finite...

Title Generalized valence bond state and solvable models for spin-1/2 systems with orbital degeneracy

Resonating valence bond wave function: from lattice models to realistic systems

Although mean field theories have been very successful to predict a wide range of properties for solids, the discovery of high temperature superconductivity in cuprates supported the idea that strongly correlated materials cannot be qualitatively described by a mean field approach. After the original proposal by Anderson [P. W. Anderson, Science 235, 1196 (1987)], there is now a large amount of...

Dynamical correlations in a Hubbard chain with a resonating-valence-bond ground state.

Dynamical correlation functions for temperature T = 0 are calculated for a Hubbard chain with infinite on-site repulsion. This chain contains three sites per unit cell and has a known resonating-valence-bond ground state for a filling of 2 particles per unit cell. A finite system of 24 sites is studied numerically. The recursion method is applied and results for spectral densities are compared ...

Frustrated resonating valence bond states in two dimensions: classification and short-range correlations.

Resonating valence bond (RVB) states are of crucial importance in our intuitive understanding of quantum spin liquids in 2D. We systematically classify short-range bosonic RVB states into symmetric or nematic spin liquids by examining their flux patterns. We further map short-range bosonic RVB states into projected BCS wave functions, on which we perform large-scale Monte Carlo simulations with...