%0 Figure %A N Maksimov, D %A Yu Chesnokov, I %A V Makarov, D %A R Kolovsky, A %D 2013 %T Reduced probability ρ(y) at t = 10 000 in the logarithmic scale %U https://iop.figshare.com/articles/figure/_Reduced_probability_em_y_em_at_em_t_em_10_000_in_the_logarithmic_scale/1012175 %R 10.6084/m9.figshare.1012175.v1 %2 https://iop.figshare.com/ndownloader/files/1479997 %K phenomenon %K direction orthogonal %K analyse dynamics %K quantum particle %K logarithmic scale %K tunnelling %K square lattice %K Hall configuration %K landau %K gauge field %K Atomic Physics %K Molecular Physics %X

Figure 7. Reduced probability ρ(y) at t = 10 000 in the logarithmic scale. The solid and dashed lines correspond to α = 1/8 and α = 0, respectively.

Abstract

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.

%I IOP Publishing