Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling rates

摘要

We study the interband Landau-Zener tunneling of a quantum particle in theHall configuration, i.e., in the presence of normal to the lattice plane gaugefield (for example, magnetic field for a charged particle) and in-planepotential field (electric field for a charged particle). The interbandtunneling is induced by the potential field and for vanishing gauge field isdescribed by the common Landau-Zener theory. We generalize this theory fornon-zero gauge field. The depletion rates of low-energy bands are calculated byusing semi-analytical method of the truncated Floquet matrix.