Energy bands and Landau levels of ultracold fermions in the bilayer honeycomb optical lattice

Abstract

We investigate the spectrum and eigenstates of ultracold fermionic atoms in the bilayer honeycomb optical lattice. In the low energy approximation the dispersion relation has parabolic form and the quasiparticles are chiral. In the presence of the effective magnetic field, which is created for the system with optical means, the energy spectrum shows an unconventional Landau level structure. Furthermore, the experimental detection of the spectrum is proposed with the Bragg scattering techniques.

Keywords:

• optical lattices
• ultracold atoms
• energy bands
• Landau levels

Acknowledgements

This work was supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University.