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Collapse of resonance in quasi-one-dimensional quantum channels

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Abstract

We study the resonance structure of the conductance (transmissivity) of a quasi-one-dimensional channel that contains an attractive impurity of finite dimensions and derive an exact expression for the scattering matrix. We show that an impurity of finite dimensions may cause a set of Fano resonances to appear in the transmissivity. We also find that due to the coherent interaction the Fano resonances can collapse and discrete levels may appear in the continuum. Finally, we establish the wave function of the discrete levels and study the channel transmissivity in the critical regime.

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Authors and Affiliations

  1. Department of Physics, Chonnam National University, Kwangju, 500-757, Korea

    C. S. Kim

  2. Nizhnii Novgorod State University, 603091, Nizhnii Novgorod, Russia

    A. M. Satanin

  3. Department of Physics, Ball State University, Muncie, Indiana, 47306-0505, U.S.A.

    Yong S. Joe & R. M. Cosby

Authors
  1. C. S. Kim
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  2. A. M. Satanin
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  3. Yong S. Joe
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  4. R. M. Cosby
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Additional information

Zh. Éksp. Teor. Fiz. 116, 263–275 (July 1999)

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Kim, C.S., Satanin, A.M., Joe, Y.S. et al. Collapse of resonance in quasi-one-dimensional quantum channels. J. Exp. Theor. Phys. 89, 144–150 (1999). https://doi.org/10.1134/1.558969

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  • DOI: https://doi.org/10.1134/1.558969

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