Massless Dirac-Weyl Fermions in a T_3 Optical Lattice

Abstract

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.

4 pages, 3 figures

References in corpus (12)

• The electronic properties of graphene
• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Magnetic confinement of massless Dirac fermions in graphene
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• Rashba effect induced localization in quantum networks
• Massless Dirac Fermions in a Square Optical Lattice
• Rashba effect in quantum networks
• Landau levels of cold atoms in non-Abelian gauge fields

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