Spin Hamiltonians with resonating-valence-bond ground states
Strongly Correlated Electrons
2013-05-29 v3 Statistical Mechanics
Abstract
Quantum dimer models exhibit quantum critical points and liquid states when the ground state is the resonating-valence bond (RVB) state. We construct SU(2)-invariant spin-1/2 Hamiltonians with the same RVB ground state. The main technical obstacle overcome is the fact that different "dimer" configurations in the spin model are not orthogonal to each other. We show that the physics depends on how dimers are related to the spins, and find a Hamiltonian that may be quantum critical.
Keywords
Cite
@article{arxiv.0910.5708,
title = {Spin Hamiltonians with resonating-valence-bond ground states},
author = {Jennifer Cano and Paul Fendley},
journal= {arXiv preprint arXiv:0910.5708},
year = {2013}
}
Comments
v3: major revision, with new results and new title