Reduced probability ρ(<em>y</em>) at <em>t</em> = 10 000 in the logarithmic scale

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