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Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 32: MLT: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ... 2

TT 32.5: Talk

Thursday, March 25, 2010, 15:15–15:30, H18

Massless Dirac-Weyl Fermions in a T3 Optical Lattice — •Daniel Urban1,2, Dario Bercioux1,3, Hermann Grabert1,3, and Wolfgang Haeusler1,41Physikalisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany — 2Departamento de Física de la Materia Condensada C-XII, Facultad de Ciencias, Universidad Autónoma de Madrid, E-28049, Madrid, Spain — 3Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany — 4Institut für Physik, Universität Augsburg, D-86135 Augsburg, Germany

We propose an experimental setup for the observation of quasi-relativistic massless Fermions. It is based on a T3 optical lattice, realized by three pairs of counter-propagating lasers, filled with fermionic cold atoms. We show that in the long wavelength approximation the T3 Hamiltonian generalizes the Dirac-Weyl Hamiltonian for the honeycomb lattice, however, with a larger value of the pseudo-spin S=1. In addition to the Dirac cones, the spectrum includes a dispersionless branch of localized states producing a finite jump in the atomic density. Furthermore, implications for the Landau levels are discussed.
Bercioux et al., Phys. Rev. A (2009) in press, arXiv:0909.3035.

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