Geodesic
Discrete levels in the continuum and tunneling
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 116-129 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate electron localization and tunneling in a quasi-one-dimensional nanochannel with two attracting impurities. We solve the one-electron problem for a short-range interaction with the impurity and obtain expressions for the scattering amplitude, the wave function, and the electron spectrum. We show that coherent interaction of the Fano resonances leads to a new phase-coherent effect, the collapse of the resonance–antiresonance pairs and the disappearance of resonances. Consequently, the system acquires discrete levels in the continuum for certain critical parameters. We analyze electron tunneling through the discrete levels in detail and show that a certain type of degeneration, with one of the states belonging to the discrete spectrum and the other propagating, can occur in this case. 
@article{TMF_1999_120_1_a8,
     author = {Ch. S. Kim and A. M. Satanin},
     title = {Discrete levels in the continuum and tunneling},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {116--129},
     year = {1999},
     volume = {120},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a8/}
}
TY  - JOUR
AU  - Ch. S. Kim
AU  - A. M. Satanin
TI  - Discrete levels in the continuum and tunneling
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 116
EP  - 129
VL  - 120
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a8/
LA  - ru
ID  - TMF_1999_120_1_a8
ER  - 
%0 Journal Article
%A Ch. S. Kim
%A A. M. Satanin
%T Discrete levels in the continuum and tunneling
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 116-129
%V 120
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a8/
%G ru
%F TMF_1999_120_1_a8
Ch. S. Kim; A. M. Satanin. Discrete levels in the continuum and tunneling. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 116-129. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a8/

[1] N. F. Mott, E. A. Devis, Electronic Processes In Non-Crystalline Materials, Claremont Press, Oxford, 1979 | Zbl

[2] J. von Neumann, E. Wigner, Z. Phys., 30 (1929), 465

[3] F. H. Stillinger, D. R. Herrick, Phys. Rev. A, 11 (1975), 446 | DOI

[4] H. Friedrich, D. Wintgen, Phys. Rev. A, 31 (1985), 3964 | DOI

[5] Quantum Transport in Ultrasmall Devices, Proc. of a NATO Advanced Study Inst. Quantum Transport in Ultrasmall Devices (Il Ciocco, 1994), B 342, eds. D. K. Ferry, H. L. Grubin, C. Jacoboni, A.-P. Jauho, Plenum, New York, 1995

[6] R. Landauer, Philos. Mag., 21 (1970), 863 | DOI

[7] M. Buttiker, Phys. Rev. B, 35 (1987), 4123 | DOI

[8] P. L. McEuen et all., Surf. Sci., 229 (1990), 312 | DOI

[9] C.-T. Liang et all., Phys. Rev. B, 55 (1997), 6723 | DOI

[10] C. S. Chu, R. S. Sorbello, Phys. Rev. B, 40 (1989), 5941 | DOI

[11] P. F. Bagwell, Phys. Rev. B, 41 (1990), 10354 | DOI

[12] P. F. Bagwell, J. Phys.: Cond. Matter., 2 (1990), 6179 | DOI

[13] E. Tekman, S. Ciraci, Phys. Rev. B, 42 (1990), 9098 | DOI

[14] E. Tekman, P. F. Bagwell, Phys. Rev. B, 48 (1993), 2553 | DOI

[15] J. U. Nöckel, A. D. Stone, Phys. Rev. B, 50 (1994), 17415 | DOI

[16] U. Fano, Phys. Rev., 124 (1961), 1866 | DOI | Zbl

[17] Ch. S. Kim, A. M. Satanin, ZhETF, 115 (1999), 211

[18] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Nauka, M., 1989 | MR

[19] S. Yamada, M. Yamamoto, Appl. Phys. Lett., 79 (1996), 8391