The data of the article "Super-Solid phase in a U(2) symmetric S = 1 Magnet on the Triangular Lattice"

A spin supersolid is characterized by the simultaneous breaking of lattice translation and continuous spin rotation symmetries. In this work, we study a spin-1 model with U(2) ∼= SU(2)×U(1)/Z2 symmetry on the triangular lattice, and determine the phase diagram with a variational CP 2 approach. We identify a novel supersolid phase which contains a 3-sublattice solid order and a superfluid order with spontaneous SU(2)-symmetry breaking. Unlike usual supersolid phases having only one Goldstone mode, the SU(2)-supersolid phase has two Goldstone modes. Another important feature of this supersolid is that the spin excitation spectrum has symmetry protected double degeneracy in the whole Brillouin zone. As by-products, several other ordered phases are obtained, including the ferromagnetic and the antiferromagnetic states breaking the SU(2) symmetry, as well as genuine phases that completely break the U(2) symmetry. Furthermore, the instabilities of SU(3)-flavor linear spin-wave theory are consistent with the phase boundaries between different ordered phases.This dataset storage the code of the classical variational method to determine the ground state of a spin-1 U(2) model on triangular lattice, and the SU(3) spin-wave calculation taking these ground states as the reference states, which is the results for our work "Super-Solid phase in a U(2) symmetric S = 1 Magnet on the Triangular Lattice". In repository "Fig.1,2", the static structure factor(SSF) for the whole parameter region has been computed and figured. In repository "Fig.3,6,7,8", the spin-wave calculation and the lambda8,lambdasu2-expectation visualization code has been supported. In repository "Fig.4", the SSF data for J_3=0.5, 0 has been offered respectively. And in repository "Fig.5", the data and the code to generate the energy curve and SSF curve for fig.5 in our paper has been offered.