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Title: Universality class of the $Z3$ ordering transition in Rydberg chains
Plain: Rydberg chains can order with one excitation every third atom. The transition into this order may belong to an unusual chiral class or pass through an intermediate floating phase.
Precise: $1\mathrm{D}$ Rydberg chain with blockade covering two neighbours; the transition from disorder to $\mathrm{Z}3$ order. Determine whether it is direct and chiral (correlation exponent $\nu$ and dynamical exponent $z != 1$), passes through a floating incommensurate phase, or is in the 3-state Potts class at a special point. Answer: phase diagram and exponents along the boundary.
Settled by: Large-scale DMRG with finite-size scaling of the full $1/r^{6}$ Hamiltonian, confirmed by Kibble-Zurek measurements across the boundary.
Kind: well-posed
Answer type: classification
References: (empty)
Literature status: contested
Status note: Kibble-Zurek data (Keesling et al., Nature 2019) and numerical studies disagree on where the floating phase begins.
Posed since: (empty)