Massless Dirac-Weyl fermions in a T{sub 3} optical lattice

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.063603· OSTI ID:21352395

Bercioux, D; Grabert, H ^[1]; Urban, D F ^[2]; Haeusler, W ^[2]

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1. Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universitaet, D-79104 Freiburg (Germany)
2. Physikalisches Institut, Albert-Ludwigs-Universitaet, D-79104 Freiburg (Germany)

We propose an experimental setup for the observation of quasirelativistic massless fermions. It is based on a T{sub 3} optical lattice, realized by three pairs of counterpropagating lasers, filled with fermionic cold atoms. We show that in the long wavelength approximation the T{sub 3} Hamiltonian generalizes the Dirac-Weyl Hamiltonian for the honeycomb lattice, however, with a larger value of the pseudospin 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.

• OSTI ID: 21352395
• Journal Information: Physical Review. A, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevA.80.063603; (c) 2009 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
ATOMS
FERMIONS
HAMILTONIANS
LASERS
PHOTON-ATOM COLLISIONS
SPECTRA
WAVELENGTHS
ATOM COLLISIONS
CALCULATION METHODS
COLLISIONS
MATHEMATICAL OPERATORS
PHOTON COLLISIONS
QUANTUM OPERATORS