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

TL;DR

This paper studies the energy spectrum and Landau levels of ultracold fermions in a bilayer honeycomb optical lattice, revealing unconventional Landau levels and proposing experimental detection methods.

Contribution

It introduces the low-energy spectrum and Landau level structure of ultracold fermions in a bilayer honeycomb lattice with an effective magnetic field.

Findings

Parabolic dispersion relation with chiral quasiparticles

Unconventional Landau level structure under effective magnetic field

Proposed detection via Bragg scattering techniques

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.