Spin-supersolid phase in Heisenberg chains: A characterization via matrix product states with periodic boundary conditions

By means of a variational calculation using matrix product states with periodic boundary conditions, we accurately determine the extension of the spin-supersolid phase predicted to exist in the spin-1 anisotropic Heisenberg chain. We compute both the structure factor and the superfluid stiffness and extract the critical exponents of the supersolid-to-solid phase transition.