2007/01/31 by Arnab Sen, Kedar Damle, T. Senthil · 1 citation
Mathematics · Physics and Astronomy · #Boson #Checkerboard #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Geometry #Lattice (music) #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Superfluidity #Supersolid #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.76.235107
published as Phys. Rev. B 76, 235107 (2007) · published version
openalex publication_date 2007/12/06 · arxiv created 2008/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study hard-core bosons on the checkerboard lattice with nearest-neighbor unfrustrated hopping t and ``tetrahedral'' plaquette charging energy U. Analytical arguments and quantum Monte Carlo simulations lead us to the conclusion that the system undergoes a zero temperature (T) quantum phase transition from a superfluid phase at small U∕t to a large U∕t Mott insulator phase with \ensuremathρ=1∕4 for a range of values of the chemical potential \ensuremathμ. Further, the quarter-filled insulator breaks lattice translation symmetry in a characteristic fourfold ordering pattern and occupies a lobe of finite extent in the \ensuremathμ\text\ensuremath-U∕t phase diagram. A quantum Monte Carlo study slightly away from the tip of the lobe provides evidence for a direct weakly first-order superfluid insulator transition away from the tip of the lobe. While analytical arguments lead us to conclude that the transition at the tip of the lobe belongs to a different Landau-forbidden second-order universality class, an extrapolation of our numerical results suggests that the size of the first-order jump does not go to zero even at the tip of the lobe.