Abstract
For a high-frequency-driven particle held in a bipartite lattice with two different separations, a and b, we construct analytical solutions which quantitatively describe the directed motions, and investigate the physical mechanism of the selective tunnelling. It is shown that if the effective tunnelling rates across a and b are the same, the system displays delocalization and coherent destruction of tunnelling. When the two tunnelling rates are adjusted to go through the values of the same magnitude and opposite signs, the system loses its stability which enables directed tunnelling of the particle to be coherently manipulated. The quantitative results could be useful for controlling the transport characterization of a particle in a bipartite superlattice material.
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