Flat bands and Wigner crystallization in the honeycomb optical lattice

Details Flat bands and Wigner crystallization in the honeycomb optical lattice Flat bands and Wigner crystallization in the honeycomb optical lattice

2007-01-31

arxiv.org/abs/cond-mat/0701788v4

Phys. Rev. Lett. 99, 070401 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, accepted by Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.99.070401

We study the ground states of cold atoms in the tight-binding bands built from p-orbitals on a two dimensional honeycomb optical lattice. The band structure includes two completely flat bands. Exact many-body ground states with on-site repulsion can be found at low particle densities, for both fermions and bosons. We find crystalline order at n=1/6 with a $\sqrt{3} \times \sqrt{3}$ structure breaking a number of discrete lattice symmetries. In fermionic systems, if the repulsion is strong enough, we find the bonding strength becomes \emph{dimerized} at n=1/2. Experimental signatures of crystalline order can be detected through the noise correlations in time of flight experiments.

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