Deconfined Criticality and Bosonization Duality in Easy-Plane Chern-Simons Two-Dimensional Antiferromagnets

Two-dimensional quantum systems with competing orders can feature a deconfined critical point, yielding continuous phase transition that is incompatible the Landau-Ginzburg-Wilson scenario, predicting instead first-order transition. This caused by LGW order parameter breaking up into new elementary excitations at point. Canonical candidates for criticality are antiferromagnets magnetic orders, captured easy-plane ${\mathrm{CP}}^{1}$ model. A delicate issue however numerics indicates antiferromagnet to exhibit Here we show an additional topological Chern-Simons term in action changes this picture completely several ways. We find undergoes second-order quantized exponents. Further, particle-vortex duality naturally maps partition function of one massless Dirac fermions.