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Spin Hamiltonians with resonating-valence-bond ground states

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arxiv 0910.5708 v3 pith:ZZDLKAJM submitted 2009-10-29 cond-mat.str-el cond-mat.stat-mech

Jennifer Cano , Paul Fendley This is my paper
classification cond-mat.str-elcond-mat.stat-mech
keywords groundquantumstatecriticaldimerhamiltoniansspinstates
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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.

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  1. Thermal Order by Disorder in Resonating-Valence Bond States on the Checkerboard Lattice

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    A new local spin Hamiltonian on the checkerboard lattice has an RVB ground state with exponentially decaying singlet correlations, while thermal decoherence of that state produces quasi-long-range 1/r^2 correlations, ...

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