Data and processing tools supporting results presented in publication "Extended Ashkin-Teller transition in two coupled frustrated Haldane chains" and chapter in PhD thesis "quantum criticality in frustrated Haldane chains and (doped) quantum loop models"

This dataset includes data obtained from large-scale simulations performed with the density matrix renormalization group algorithm, and the tools used to process this data. We used this algorithm to study two spin-1 Haldane chains frustrated with a three-site exchange and coupled by the antiferromagnetic Heisenberg interaction on a zigzag ladder. We report an extremely rich ground-state phase diagram. A particular of it is the extended quantum phase transition in the Ashkin-Teller universality class that separates the plaquette phase, which spontaneously breaks translation symmetry, and the uniform disordered phase. The former is connected to the Haldane phase, stabilized by large interchain coupling, via the topological Gaussian transition. Upon decreasing the interchain interactions, this intermediate disorder phase vanishes, giving place to a dimerized phase separated from the plaquette phase on one side via a nonmagnetic Ising transition and from the Haldane phase on the other side by a topological weak first-order transition. Finally, in the limit of two decoupled chains, we recover a quantum critical point that corresponds to two copies of the Wess-Zumino-Witten SU⁢(2)2 criticality with a total central charge c=3.