Occupancy oscillation of honeycomb-lattice hard-core bosons under a pseudo-magnetic-field

We investigate the hardcore Bose-Hubbard model on a honeycomb lattice under a pseudo-magnetic field generated by triaxial strain using the quantum Monte Carlo (QMC) method. In the presence of strain, we construct a phase diagram that encompasses superfluid and solid phases at different fillings. Interestingly, we observe intriguing phenomena related to filling factors, including a solid phase with a filling of ρ=0.4912. This solid phase is characterized by distinct sublattice occupancies separated by large domain walls. Additionally, within the superfluid region, we observe stripe phases where the occupancy of hardcore bosons exhibits oscillatory behavior. Finally, we employ linear spin-wave theory and derive the pseudo-Landau levels present in the excitation spectrum. Our findings not only provide valuable insights into the behavior of hardcore bosons in the presence of pseudo-magnetic fields, but they can also be experimentally realized using ultracold bosonic atoms confined in optical lattices.