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• W2024487062 abstract "We study the ground-state properties of the interacting spinless fermions in the ${p}_{x,y}$-orbital bands in the two-dimensional honeycomb optical lattice, which exhibit different features from those in the ${p}_{z}$-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 $n=frac{i}{6}(i=1--6)$. At $n=frac{1}{6}$, 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 $n=frac{1}{2}$ and $frac{5}{6}$, and the latter case is accompanied with the charge-density wave of holes. The trimerization of bonding strength and charge inhomogeneity appear at $n=frac{1}{3},frac{2}{3}$. These crystalline orders exhibit themselves in the noise correlations of the time-of-flight spectra." @default.
• W2024487062 created "2016-06-24" @default.
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• W2024487062 date "2008-06-11" @default.
• W2024487062 modified "2023-09-30" @default.
• W2024487062 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-orbital counterpart of graphene: Cold atoms in the honeycomb optical lattice" @default.
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• W2024487062 doi "https://doi.org/10.1103/physrevb.77.235107" @default.
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