Honeycomb optical lattices with harmonic confinement

Details Honeycomb optical lattices with harmonic confinement Honeycomb optical lattices with harmonic confinement

2010-02-16

arxiv.org/abs/1002.3044v2

Phys. Rev. A 81, 053421 (2010)

Physics

Condensed Matter

Quantum Gases

8 pages, 6 figures

Scientific paper

10.1103/PhysRevA.81.053421

We consider the fate of the Dirac points in the spectrum of a honeycomb optical lattice in the presence of a harmonic confining potential. By numerically solving the tight binding model we calculate the density of states, and find that the energy dependence can be understood from analytical arguments. In addition, we show that the density of states of the harmonically trapped lattice system can be understood by application of a local density approximation based on the density of states of the homogeneous lattice. The Dirac points are found to survive locally in the trap as evidenced by the local density of states. They furthermore give rise to a distinct spatial profile of a noninteracting Fermi gas.

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