Maceira, Ivo A.Chepiga, NataliaMila, Frederic2022-12-192022-12-192022-12-192022-11-1410.1103/PhysRevResearch.4.043102https://infoscience.epfl.ch/handle/20.500.14299/193314WOS:000886919700012Using density matrix renormalization group simulations on open chains, we map out the wave vector in the incommensurate disordered phase of a realistic model of Rydberg chains with 1/r6 interactions, and we locate and characterize the points along the commensurate lines where the transition out of the period 3 and 4 phases is conformal. We confirm that it is three-state Potts for the period-3 phase, and we show that it is Ashkin-Teller with v similar or equal to 0.80 for the period-4 phase. We further show that close to these points, the transition is still continuous, but with a completely different scaling of the wave vector, in agreement with a chiral transition. Finally, we propose to use the conformal points as benchmarks for Kibble-Zurek experiments, defining a roadmap towards a conclusive identification of the chiral universality class.Physics, MultidisciplinaryPhysicsmatrix renormalization-groupasymmetric clockcommensurate phasesground-statedomain-wallsmonte-carloincommensuratedensitymodellatticeConformal and chiral phase transitions in Rydberg chainstext::journal::journal article::research article