RVB State — Rokhsar-Kivelson Point

The quantum dimer model on a 2D lattice hosts a deconfined RVB liquid phase. At the Rokhsar-Kivelson point (t=J), the ground state is an equal-weight superposition of all dimer coverings — a critical state with algebraic correlations and deconfined spinon excitations.

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t/J ratio (RK point = 1) 1.00 Temperature (quantum fluctuations) 0.50 Lattice size 8

Dimers: 0 | Flips: 0

Quantum Dimer Model:
H = -t Σ(|⟩⟨| + h.c.) + J Σ|⟩⟨|

RK point t=J: ground state = uniform superposition. Monomer defects are deconfined — genuine topological order in 2D.

Colors show local resonance loop weight.

Resonating Valence Bond — Rokhsar-Kivelson Point

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