Supersolid magnetic phase realization in strongly anisotropic easy-plane antiferromagnet with Ising-like exchange interaction in the transverse magnetic field

•S=1 easy-plane Ising-like antiferromagnet in the external magnetic field is investigated.•Strong single-axis exchange anisotropy changes the properties of the system.•Critical fields are found.•The types of the phase transitions and the phase diagram are determined.

Phase states of strongly anisotropic easy-plane spin-1 antiferromagnet with Ising-like exchange interaction have been investigated at transverse orientation of the external magnetic field. It is shown that the supersolid magnetic phase does not realize at this orientation of the magnetic field, while it does at the longitudinal orientation of the external magnetic field. The strong single-axis exchange anisotropy has essential influence on the dynamic and the static properties of the system.