N Maksimov, D Yu Chesnokov, I V Makarov, D R Kolovsky, A Classical trajectories of ten particles with random initial conditions in the central potential well <p><strong>Figure 5.</strong> Classical trajectories of ten particles with random initial conditions in the central potential well. Parameters are <em>v<sub>x</sub></em> = <em>v<sub>y</sub></em> = 0.5, <em>B</em> = 0.02, <em>F<sub>y</sub></em> = 0.02 and <em>F<sub>x</sub></em> = 0.</p> <p><strong>Abstract</strong></p> <p>We analyse dynamics of a quantum particle in a square lattice in the Hall configuration beyond the single-band approximation. For vanishing gauge (magnetic) field this dynamics is defined by the inter-band Landau–Zener tunnelling, which is responsible for the phenomenon known as the electric breakdown. We show that in the presence of a gauge field this phenomenon is absent, at least, in its common sense. Instead, the Landau–Zener tunnelling leads to the appearance of a finite current which flows in the direction orthogonal to the vector of a potential (electric) field.</p> phenomenon;direction orthogonal;analyse dynamics;0. Abstract;quantum particle;tunnelling;square lattice;landau;Hall configuration;gauge field;Atomic Physics;Molecular Physics 2013-06-13
    https://iop.figshare.com/articles/figure/_Classical_trajectories_of_ten_particles_with_random_initial_conditions_in_the_central_potential_wel/1012173
10.6084/m9.figshare.1012173.v1