Spin Hamiltonians with resonating-valence-bond ground states.
Physical review letters 105:6 (2010) 067205
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. We show that the physics depends on how dimers are related to the spins, and find a Hamiltonian that is likely to be quantum critical.Link invariants, the chromatic polynomial and the Potts model
Advances in Theoretical and Mathematical Physics International Press of Boston 14:2 (2010) 507-540
Boundary conformal field theory and tunneling of edge quasiparticles in non-Abelian topological states
Annals of Physics Elsevier 324:7 (2009) 1547-1572
Tutte chromatic identities from the Temperley–Lieb algebra
Geometry & Topology Mathematical Sciences Publishers 13:2 (2009) 709-741
Lattice Supersymmetry from the Ground Up
Springer Nature (2009) 277-284