Volume 107, Number 3, August 2014
|Number of page(s)||6|
|Published online||07 August 2014|
Matter waves in atomic artificial graphene
1 Université Montpellier 2, Laboratoire Charles Coulomb UMR 5221 - F-34095 Montpellier, France
2 CNRS, Laboratoire Charles Coulomb UMR 5221 - F-34095 Montpellier, France
3 INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento - I-38123 Povo, Italy
4 Institut Universitaire de France - 103, bd Saint- Michel, F-75005 Paris, France
Received: 28 May 2014
Accepted: 17 July 2014
We present a new model to realize artificial 2D lattices with cold atoms investigating the atomic artificial graphene: a 2D confined matter wave is scattered by atoms of a second species trapped around the nodes of a honeycomb optical lattice. The system allows an exact determination of the Green function, hence of the transport properties. The inter-species interaction can be tuned via the interplay between scattering length and confinements. Band structure and density of states of a periodic lattice are derived for different values of the interaction strength. Emergence and features of Dirac cones are pointed out, together with the appearance of multiple gaps and a non-dispersive and isolated flat band. Robustness against finite-size and vacancies effects is numerically investigated.
PACS: 03.75.-b – Matter waves / 81.05.ue – Graphene / 67.85.-d – Ultracold gases, trapped gases
© EPLA, 2014
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