Flat bands and Wigner crystallization in the honeycomb optical lattice

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dc.creatorWu, Congjun
dc.creatorBergman, Doron
dc.creatorBalents, Leon
dc.creatorSarma, S. Das
dc.date2007-01-31
dc.date2007-07-10
dc.date.accessioned2026-07-07T08:25:20Z
dc.date.available2026-07-07T08:25:20Z
dc.descriptionWe 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.
dc.description4 pages, accepted by Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0701788
dc.identifierhttp://arxiv.org/abs/cond-mat/0701788
dc.identifierPhys. Rev. Lett. 99, 070401 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.070401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136621
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleFlat bands and Wigner crystallization in the honeycomb optical lattice
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