Abstract
We study the ground-state properties of the interacting spinless fermions in the -orbital bands in the two-dimensional honeycomb optical lattice, which exhibit different features from those in the -orbital system of graphene. In addition to two dispersive bands with Dirac cones, the tight-binding band structure exhibits another two completely flat bands over the entire Brillouin zone. With the realistic sinusoidal optical potential, the flat bands acquire a finite but much smaller bandwidth compared to the dispersive bands. The band flatness dramatically enhanced interaction effects giving rise to various charge and bond ordered states at commensurate fillings of . At , the many-body ground states can be exactly solved as the close-packed hexagon states which can be stabilized even in the weakly interacting regime. The dimerization of bonding strength occurs at both and , and the latter case is accompanied with the charge-density wave of holes. The trimerization of bonding strength and charge inhomogeneity appear at . These crystalline orders exhibit themselves in the noise correlations of the time-of-flight spectra.
8 More- Received 27 December 2007
DOI:https://doi.org/10.1103/PhysRevB.77.235107
©2008 American Physical Society