Three-dimensional Dirac-like fermions in an optical lattice

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.064102· OSTI ID:21529003

Mou, Yang; Shiliang, Zhu ^[1]

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1. Laboratory of Quantum Information Technology, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006 (China)

We present a scheme to realize three-dimensional Dirac-like fermions with an edge-centered cubic optical lattice. We propose a method to construct the optical edge-centered cubic crystals and then determine the parameters required for the description of the systems with a tight-binding model. Interestingly, we show that the low-energy quasiparticles are three-dimensional massive or massless Dirac-like fermions determined by the parameters of the system. In addition, two three-dimensional degenerate flat bands lie between the upper and the lower branches of the Dirac dispersion. Furthermore, we demonstrate that the Dirac dispersion relation and the flat bands can be verified by the density profile measurement.

• OSTI ID: 21529003
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.064102; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTALS
CUBIC LATTICES
DENSITY
DIRAC EQUATION
DISPERSION RELATIONS
DISPERSIONS
FERMIONS
QUASI PARTICLES
THREE-DIMENSIONAL CALCULATIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
WAVE EQUATIONS