Massless Dirac-Weyl Fermions in a T_3 Optical Lattice

Details Massless Dirac-Weyl Fermions in a T_3 Optical Lattice Massless Dirac-Weyl Fermions in a T_3 Optical Lattice

2009-09-16

arxiv.org/abs/0909.3035v2

Phys. Rev. A 80, 063603 (2009)

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.80.063603

We propose an experimental setup for the observation of quasi-relativistic massless Fermions. It is based on a T_3 optical lattice, realized by three pairs of counter-propagating lasers, filled with fermionic cold atoms. We show that in the long wavelength approximation the T_3 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.

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