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Multiple Subbarrier Scattering: A Theory for the Bridge Effect

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Abstract

The electron tunneling via an extrinsic bridge atom by a superexchange mechanism is considered. It is shown that the bridge effect must be described by a transition amplitude gain, whose exponential rise with the bridge length is caused by subbarrier scattering on the bridge particles. A total operator of scattering on a linear bridge is expressed through operators of scattering on individual particles of the bridge.

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REFERENCES

  1. Modinos, A., Field, Thermionic, and Secondary Electron Emission Spectroscopy, New York: Plemun, 1984. Translated under the title Avto-, termo-i vtorichno-elektronnaya emissionnaya spektroskopiya, Moscow: Nauka, 1990.

    Google Scholar 

  2. Shklovskii, B.N. and Efros, A.L., Elektricheskie svoistva legirovannykh poluprovodnikov (Electrical Properties of Doped Semiconductors), Moscow: Nauka, 1979.

    Google Scholar 

  3. Brickenstein, E.Kh., Ivanov, G.K., Kozhushner, M.A., and Khairutdinov, R.F., Chem. Phys., 1984, vol. 91, p. 133.

    Google Scholar 

  4. Brickenstein, E.Kh., Kozhushner, M.A., Pen'kov, D.N., et al., Chem. Phys., 1989, vol. 135, p. 209.

    Google Scholar 

  5. Szent-Györgyi, A., Nature (London), 1941, vol. 148, p. 157.

    Google Scholar 

  6. Petrov, E.G., Fizika perenosa zaryadov v biosistemakh (Physics of the Charge Transfer in Biological Systems), Kiev: Naukova Dumka, 1984.

    Google Scholar 

  7. Electron Transfer in Inorganic, Organic and Biological Systems, Bolton, J.R., Mataga, N., and McLendon, G., Eds., Washington (D.C.): American Chemical Society, 1991, Advances in Chemistry Series, vol. 228.

    Google Scholar 

  8. Binning, G., Rohrer, H., Gerber, Ch., and Weibel, E., Phys. Rev. Lett., 1982, vol. 50, p. 120.

    Google Scholar 

  9. Scanning Tunneling Microscopy, Wiesendanger, R. and Guntherodt, H.-J., Eds., New York: Springer, 1992, parts 1, 2.

    Google Scholar 

  10. Reed, M.A., Zhou, M.A., Muller, C.J., et al., Science, 1997, vol. 278, p. 252.

    Google Scholar 

  11. Klein, J.M., McEuen, P.L., Katari Bowen, J.E., et al., Phys. Lett., 1996, vol. 68, p. 485.

    Google Scholar 

  12. Christophorov, L.N., Gorbach, V.V., and Kharkyanen, V.N., Int. J. Quantum Chem., 1982, vol. 22, p. 485.

    Google Scholar 

  13. Moser, G.C. and Dutton, P.L., Biochim. Biophys. Acta, 1992, vol. 1101, p. 171.

    Google Scholar 

  14. Isied, S.P., Ogawa, M.J., and Wishart, J.F., Chem. Rev., 1992, vol. 92, p. 381.

    Google Scholar 

  15. Porath, D., Bezriadin, A., de Vries, S., and Dekker, C., Nature (London), 2000, vol. 403, p. 635.

    Google Scholar 

  16. Kharkyanen, V.N., Petrov, E.G., and Ukrainskii, I.I., J. Theor. Biol., 1978, vol. 73, p. 29.

    Google Scholar 

  17. Christophorov, L.N. and Kharkyanen, V.N., Phys. Status Solidi B, 1983, vol. 116, p. 415.

    Google Scholar 

  18. Ratner, M.A., J. Phys. Chem., 1990, vol. 94, p. 4877.

    Google Scholar 

  19. Beratan, D.N., Onuchic, J.N., and Hopfield, J., J. Chem. Phys., 1985, vol. 83, p. 5325.

    Google Scholar 

  20. Balaji, V., Ng, L., Jordan, K.D., et al., J. Am. Chem. Soc., 1990, vol. 112, p. 6957.

    Google Scholar 

  21. Falcetta, M.F., Jordan, K.D., McMurry, J.E., et al., J. Am. Chem. Soc., 1990, vol. 112, p. 579.

    Google Scholar 

  22. Cave, R.J., Baxter, D.V., and Goddard, W.A., J. Chem. Phys., 1987, vol. 87, p. 926.

    Google Scholar 

  23. Farazdel, A., Dupuis, M., Clementi, E., and Aviram, A., J. Am. Chem. Soc., 1990, vol. 112, p. 4206.

    Google Scholar 

  24. Onuchic, J.N., Beratan, D.N., Winkler, J.R., and Gray, H.B., Annu. Rev. Biophys. Bilomol. Struct., 1992, vol. 21, p. 349.

    Google Scholar 

  25. Balabin, I.A. and Onuchic, J.N., J. Phys. Chem., 1996, vol. 100, p. 11573.

    Google Scholar 

  26. Samanta, M.P., Tian, W., Datta, W., et al., Phys. Rev. B: Condens. Matter, 1996, vol. 53, p. 7626.

    Google Scholar 

  27. Betts, J.N., Beratan, D.N., and Onuchic, J.N., J. Am. Chem. Soc., 1992, vol. 114, p. 4043.

    Google Scholar 

  28. DiVentra, M., Patelides, S.T., and Lang, N.D., Phys. Rev. Lett., 2000, vol. 84, p. 979.

    Google Scholar 

  29. Derosa, P.A. and Seminarion, J.M., J. Phys. Chem. B, 2001, vol. 105, p. 471.

    Google Scholar 

  30. Ivanov, G.K. and Kozhushner, M.A., Chem. Phys., 1993, vol. 170, p. 303.

    Google Scholar 

  31. Kozhushner, M.A. and Muryasov, R.R., Khim. Fiz., 2000, vol. 19, p. 3.

    Google Scholar 

  32. Kozhushner, M.A. and Muryasov, R.R., Dokl. Akad. Nauk, 2000, vol. 372, p. 658.

    Google Scholar 

  33. Slagi, E.L. and Wichman, E.H., J. Math. Phys., 1962, vol. 3, p. 946.

    Google Scholar 

  34. Smirnov, B.M., Asimptoticheskie metody v teorii atomnykh stolknovenii (Asymptotic Methods in the Theory of Atomic Collisions), Moscow: Atomizdat, 1973.

    Google Scholar 

  35. Ovchinnikova, M.Ya., Zh. Eksp. Teor. Fiz., 1965, vol. 49, p. 275.

    Google Scholar 

  36. Baz', A.I., Zel'dovich, Ya.B., and Perelomov, A.M., Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike (Scattering, Reactions, and Decays in Nonrelativistic Quantum Mechanics), Moscow: Nauka, 1971.

    Google Scholar 

  37. Kramers, H.A., Hand-und Jahrbuch der Chemischen Physik, Leipzig: Akademische Verlagsgesellschaft, 1938, vol. 1, p. 312.

    Google Scholar 

  38. Zel'dovich, Ya.B., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1965, vol. 8, p. 522.

    Google Scholar 

  39. Chandrasekhar, S., Astrophys. J., 1944, vol. 100, p. 176.

    Google Scholar 

  40. Bardeen, J., Phys. Rev. Lett., 1961, vol. 6, p. 57.

    Google Scholar 

  41. Ivanov, G.K. and Kozhushner, M.A., Fiz. Tverd. Tela (Leningrad), 1978, vol. 20, p. 9.

    Google Scholar 

  42. Ivanov, G.K. and Kozhushner, M.A., Khim. Fiz., 1982, vol. 1, p. 1.

    Google Scholar 

  43. Burshtein, K.Ya., Ivanov, G.K., Kozhushner, M.A., and Posvyanskii, V.S., Zh. Eksp. Teor. Fiz., 1996, vol. 109, p. 63.

    Google Scholar 

  44. Dalidchik, F.I. and Ivanov, G.K., Zh. Prikl. Spektrosk., 1970, vol. 13, p. 363.

    Google Scholar 

  45. Pekar, S.I., Zh. Eksp. Teor. Fiz., 1950, vol. 20, p. 510.

    Google Scholar 

  46. Huang Kun Rhys, A., Proc. R. Soc. London, Ser. A, 1950, vol. 204, p. 406.

    Google Scholar 

  47. Pekar, S.I. and Krivoglaz, M.A., Tr. Inst. Fiz. Akad. Nauk Ukr. SSR, 1953, vol. 4, p. 37.

    Google Scholar 

  48. Marcus, R.A., J. Chem. Phys., 1956, vol. 24, p. 966; 1959

    Google Scholar 

  49. Dogonadze, R.R. and Kuznetsov, A.M., Itogi Nauki, Ser.: Fiz. Khim., Kinet., 1973, vol. 2, p. 3.

    Google Scholar 

  50. Kuznetsov, A.M., Charge Transfer in Physics, Chemistry, and Biology, Reading: Gordon and Breach, 1995.

    Google Scholar 

  51. Burshtein, A.I. and Yakobson, B.I., Khim. Vys. Energ., 1980, vol. 14, p. 291.

    Google Scholar 

  52. Burshtein, A.I., Ivanov, G.K., and Kozhushner, M.A., Chem. Phys. Lett., 1981, vol. 84, p. 135.

    Google Scholar 

  53. Beratan, D.N. and Hopfield, J.J., J. Chem. Phys., 1984, vol. 81, p. 5753.

    Google Scholar 

  54. Hänggi, P., Talkner, P., and Borcovec, M., Rev. Mod. Phys., 1990, vol. 62, p. 251.

    Google Scholar 

  55. Landau, L.D. and Lifshits, E.M., Kvantovaya mekhanika (Quantum Mechanics), Moscow: Fizmatgiz, 1963.

    Google Scholar 

  56. Ivanov, G.K. and Kozhushner, M.A., Zh. Eksp. Teor. Fiz., 1994, vol. 105, p. 45.

    Google Scholar 

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Authors and Affiliations

  1. Semenov Institute of Chemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 117977, Russia

    M. A. Kozhushner, D. I. Bolgov, R. R. Muryasov & V. S. Posvyanskii

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  1. M. A. Kozhushner
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  2. D. I. Bolgov
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  3. R. R. Muryasov
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  4. V. S. Posvyanskii
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Kozhushner, M.A., Bolgov, D.I., Muryasov, R.R. et al. Multiple Subbarrier Scattering: A Theory for the Bridge Effect. Russian Journal of Electrochemistry 39, 74–85 (2003). https://doi.org/10.1023/A:1021971714476

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