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Q: Fachverband Quantenoptik und Photonik

Q 21: Poster I

Q 21.12: Poster

Dienstag, 9. März 2010, 16:00–19:00, Lichthof

Massless Dirac-Weyl Fermions in a T₃ Optical Lattice — •Dario Bercioux^1,2, Daniel F. Urban^2,3, Hermann Grabert^1,2, and Wolfgang Haeusler^2,4 — ¹Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany — ²Physikalisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany — ³Departamento de Física de la Materia Condensada C-XII, Facultad de Ciencias, Universidad Autónoma de Madrid, E-28049, Madrid, Spain — 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 80, 063603 (2009).