Abstract
The conductance and the stationary current are studied in a one-dimensional quantum wire with a harmonically oscillating delta-potential barrier or well. It is shown that, in the structure with a single well, the conductance vanishes at certain parameters. This phenomenon is associated with the occurrence of quasi-energy states corresponding to the total and elastic reflection of particles from the well. The stationary photovoltaic current under an alternating field in a double-well structure is considered. It is shown that the derivative of the photovoltaic current with respect to the Fermi energy vanishes under the same conditions. The results for a system with a single well are generalized to the case of a one-dimensional lattice in the tight binding model with an oscillating level of one of its sites. It is shown that the problem of particle scattering by a three-dimensional short-range center with an oscillating potential is reduced to the corresponding one-dimensional problem.
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