Magnetic bands for α = 1/8 and (<em>J<sub>x</sub></em>, <em>v<sub>y</sub></em>) = (0.0, 0.25), left panel, and (<em>J<sub>x</sub></em>, <em>v<sub>y</sub></em>) = (0.0431, 0.25), right panel Andrey R Kolovsky 10.6084/m9.figshare.1012167.v1 https://iop.figshare.com/articles/figure/_Magnetic_bands_for_1_8_and_em_J_sub_x_sub_em_em_v_sub_y_sub_em_0_0_0_25_left_panel_and_em_J_sub_x_s/1012167 <p><strong>Figure 3.</strong> Magnetic bands for α = 1/8 and (<em>J<sub>x</sub></em>, <em>v<sub>y</sub></em>) = (0.0, 0.25), left panel, and (<em>J<sub>x</sub></em>, <em>v<sub>y</sub></em>) = (0.0431, 0.25), right panel.</p> <p><strong>Abstract</strong></p> <p>We study the interband Landau–Zener tunnelling of a quantum particle in the Hall configuration, i.e., in the presence of gauge field (for example, magnetic field for a charged particle) and in-plane potential field (electric field for a charged particle) normal to the lattice plane. The interband tunnelling is induced by the potential field and for the vanishing gauge field is described by the common Landau–Zener theory. We generalize this theory for a nonzero gauge field. The depletion rates of low-energy bands are calculated by using a semi-analytical method of the truncated Floquet matrix.</p> 2013-06-13 00:00:00 right abstract figure method quantum particle lattice plane panel nonzero gauge field depletion rates landau Hall configuration jx interband tunnelling vy i.e Floquet matrix presence gauge field Atomic Physics Molecular Physics