Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point

Abstract

Although great efforts have been expended on the deconfined quantum critical point (DQCP) for 2D systems, ambiguities are still not completely clarified. Here, the authors focus on a recently proposed 1D incarnation of DQCP in a spin-\textonehalf{} chain. Using the variational matrix product state, a continuous transition between a valence-bond solid phase and a ferromagnetic phase is discovered. Two emergent O(2) symmetries together with the associated conserved current operators are revealed and in perfect agreement with the controlled field theory predictions.