Probing the Energy Spectrum in the Vicinity of Dirac Points with Landau–Zener Transition

Recently a new type of experiment, i.e., Bloch oscillations of ultracold atoms in honeycomb optical potential,realized Landau–Zener transition in the vicinity of Dirac point in 2D optical lattice. We show that the slope of Dirac cone is related to the transition probability of Landau–Zener transition. Therefore, it provides a new tool to directly detect the energy spectrum in the vicinity of Dirac point. Moreover, we numerically demonstrate that our scheme is feasible and effective in a large range of the parameter of anisotropy.