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Landauer resistance in the case of multichannel scattering

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Abstract

The Landauer resistance ρ L N has been generalized to the case of multichannel scattering of a particle by the system of N nonoverlapping random potentials that are localized at the points x i (i = 1, 2,..., N) and depend on x − x i and y. It has been shown that, in this case, a new resistance ρ L N appears, which is an exponential function of N. The recurrence equation for determining the Landauer resistance ρ L N has been derived and its solution in the general case has been obtained.

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References

  1. O. Madelung, Introduction to Solid-State Theory (Springer, Berlin, 1978; Nauka, Moscow, 1985).

    Book  Google Scholar 

  2. D. M. Sedrakyan, D. A. Badalyan, and A. Zh. Khachatryan, Phys. Solid State 41(10), 1700 (1999); D. M. Sedrakyan, D. A. Badalyan, and A. Zh. Khachatryan, Phys. Solid State 42 (4) 767 (2000).

    Article  ADS  Google Scholar 

  3. A. Zh. Khachatrian, G. Röpke, D. H. Badalian, and D. M. Sedrakian, Phys. Rev. B: Condens. Matter 62, 13501 (2000).

    Article  ADS  Google Scholar 

  4. D. M. Sedrakyan, D. A. Badalyan, and A. Zh. Khachatryan, Izv.—Nats. Akad. Nauk Arm., Fiz. 35, 55 (2000).

    Google Scholar 

  5. R. Landauer, Philos. Mag. 21, 863 (1970).

    Article  ADS  Google Scholar 

  6. D. M. Sedrakyan, E. M. Kazaryan, and L. R. Sedrakyan, Izv.—Nats. Akad. Nauk Arm., Fiz. 44, 395 (2009).

    Google Scholar 

  7. L. R. Sedrakyan, Dokl. Nats. Akad. Nauk Arm. 109, 214 (2009).

    MathSciNet  Google Scholar 

  8. D. M. Sedrakyan, Izv.—Nats. Akad. Nauk Arm., Fiz. 45, 39 (2010); D. M. Sedrakyan, Izv.—Nats. Akad. Nauk Arm., Fiz. 45, 183 (2010).

    Google Scholar 

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Authors and Affiliations

  1. Yerevan State University, ul. Alex Manoogian, Yerevan, 0025, Armenia

    D. M. Sedrakyan

  2. State Educational Institution of High Professional Education, Russian-Armenian (Slavonic) University, ul. Hovsep Emin 123, Yerevan, 0051, Armenia

    L. R. Sedrakyan

Authors
  1. D. M. Sedrakyan
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  2. L. R. Sedrakyan
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Correspondence to D. M. Sedrakyan.

Additional information

Original Russian Text © D.M. Sedrakyan, L.R. Sedrakyan, 2011, published in Fizika Tverdogo Tela, 2011, Vol. 53, No. 8, pp. 1628–1634.

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Sedrakyan, D.M., Sedrakyan, L.R. Landauer resistance in the case of multichannel scattering. Phys. Solid State 53, 1714–1721 (2011). https://doi.org/10.1134/S1063783411080270

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  • DOI: https://doi.org/10.1134/S1063783411080270

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