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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References
P. F. Bagwell and R. K. Lake, Phys. Rev. B 46, 15329 (1992).
M. Wagner, Phys. Rev. A 51, 798 (1995).
W. Li and L. E. Reichl, Phys. Rev. B 60, 15732 (1999).
D. F. Martinez and L. E. Reichl, Phys. Rev. B 64, 245315 (2001).
O. A. Tkachenko, V. A. Tkachenko, and D. G. Baksheev, Phys. Rev. B 53, 4672 (1996).
O. A. Tkachenko, V. A. Tkachenko, and D. G. Baksheev, Phys. Rev. B 54, 13 452 (1996).
D. J. Thouless, Phys. Rev. B 27, 6083 (1983).
P. W. Brouwer, Phys. Rev. B 58, R10135 (1998).
M. Moskalets and M. Büttiker, Phys. Rev. B 66, 205320 (2002).
S. W. Kim, Int. J. Mod. Phys. B 18, 3071 (2004).
L. S. Braginskiĭ, M. M. Makhmudian, and M. V. Éntin, Zh. Éksp. Teor. Fiz. 127, 1046 (2005) [JETP 100, 920 (2005)].
M. M. Mahmoodian, L. S. Braginsky, and M. V. Entin, Phys. Rev. B 74, 125317 (2006).
M. M. Mahmoodian and M. V. Entin, Europhys. Lett. 77, 67002 (2007); cond-mat/0610832.
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Original Russian Text © M.M. Makhmudian, M.V. Entin, L.S. Braginskii, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 3, pp. 561–568.
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Makhmudian, M.M., Entin, M.V. & Braginskii, L.S. High-frequency resonant blockade in one-dimensional quantum pump with oscillating potential wells. J. Exp. Theor. Phys. 105, 495–501 (2007). https://doi.org/10.1134/S106377610709004X
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DOI: https://doi.org/10.1134/S106377610709004X