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arXiv · 1408.6099

Matter Waves in Atomic Artificial Graphene

Nicola Bartolo·Mauro Antezza
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Abstract

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.

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Nicola Bartolo, Mauro Antezza. 2014-08-26. Matter Waves in Atomic Artificial Graphene. https://doi.org/10.1209/0295-5075%2F107%2F30006

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