Continuous-space simulations of bosons in hexagonal lattices reveal suppressed Mott insulator phases in honeycomb geometries due to density-assisted tunneling and multiple sublattice Mott lobes in asymmetric h-BN lattices.
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H-PIMC and M-PIMC split the potential into harmonic and anharmonic pieces, sample the harmonic piece exactly, and report 6-16x higher acceptance and 7-30x lower autocorrelation for moderately anharmonic systems at βℏω=16, with further gains when combined with the worm algorithm.