Spin-supersolid phase in Heisenberg chains: a characterization via Matrix Product States with periodic boundary conditions

TL;DR

This paper employs Matrix Product States with periodic boundary conditions to precisely characterize the spin-supersolid phase in a spin-1 anisotropic Heisenberg chain, analyzing phase transition properties.

Contribution

It introduces a variational MPS approach with periodic boundaries to accurately determine the supersolid phase and critical exponents in the model.

Findings

Identification of the spin-supersolid phase boundaries

Calculation of superfluid stiffness and structure factor

Extraction of critical exponents for phase transition

Abstract

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.