Flat bands and Wigner crystallization in the honeycomb optical lattice

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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.
4 pages, accepted by Phys. Rev. Lett

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Strongly Correlated Electrons, Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/136621

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0701788
 http://arxiv.org/abs/cond-mat/0701788
 Phys. Rev. Lett. 99, 070401 (2007)
 doi:10.1103/PhysRevLett.99.070401

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arXiv