%0 Journal Article %T Matter waves in atomic artificial graphene %+ Laboratoire Charles Coulomb (L2C) %A Bartolo, Nicola %A Antezza, Mauro %< avec comité de lecture %Z L2C:14-120 %@ 0295-5075 %J EPL - Europhysics Letters %I European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing %V 107 %N 3 %P 30006 %8 2014-08-05 %D 2014 %R 10.1209/0295-5075/107/30006 %Z Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas] %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] %Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Journal articles %X 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. %G English %2 https://hal.science/hal-01054237/document %2 https://hal.science/hal-01054237/file/25-EPL_107_30006_2014post-print.pdf %L hal-01054237 %U https://hal.science/hal-01054237 %~ CNRS %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ UM-2015-2021