High-Frequency Resonant Blockade in One-Dimensional
Quantum Pump with Oscillating Potential Wells

M. M. Makhmudian*, M. V. Entin, and L. S. Braginskii

Institute of Semiconductor Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 Russia

* e-mail: mahmood@isp.nsc.ru

Received February 22, 2007

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 photo-
voltaic 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-dimen-
sional short-range center with an oscillating potential is reduced to the corresponding one-dimensional
problem.

PACS numbers: 73.23.-b, 73.50.Pz

DOI: 10.1134/S106377610709004X

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