Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets

We demonstrate that low-lying triplon excitations in a bilayer Heisenberg antiferromagnet provide promising avenue to realize magnetic analogs of twisted superfluid and supersolid phases were recently reported for two-component ultracold atomic condensate an optical lattice. Using cluster Gutzwiller mean-field theory, we establish Dzyaloshinskii-Moriya interactions (DMI), are common many quantum magnets, stabilize these system, contrast the pair hopping process is necessary atoms. The critical value DMI transition depends on strength (frustrated) interlayer can be tuned by applying external pressure / or shearing force between layers. Furthermore, show controllably varied coupling tailored circularly polarized light. Our results crucial guidance experimental search triplons real magnets.