Abstract
Correct expressions are obtained for calculating a tunnel-resonance current through molecules. The participation of molecular vibrations in the resonance charge transfer through a molecule and vibrational excitation of the molecule are determined by the reorganization energy E r of the vibrational system depending on the displacement of the equilibrium position of vibrational modes in passing from the neutral molecule to the resonance state of a molecular ion. The mean excitation energy of the molecule during the propagation of an elementary charge changes from E r at the voltage across electrodes close to the threshold up to 2E r at voltages considerably exceeding the threshold voltage. An expression is obtained for the stationary vibrational temperature of the molecule, which is proportional to the resonance current.
Similar content being viewed by others
References
A. Nitzan and M. A. Ratner, Science (Washington) 300, 1384 (2003).
N. J. Tao, Nat. Nanotechnol. 1, 173 (2006).
S. Karthänser, J. Phys.: Condens. Matter 23, 013001 (2011).
Z. L. Gasina, G. M. Morales, A. Sanchez, and L. Yu, Chem. Phys. Lett. 417, 401 (2006).
I. I. Oleynik, M. A. Kozhushner, V. S. Posvyanskii, and L. Yu, Phys. Rev. Lett. 96, 096803 (2006).
T. Albrecht, K. Moth-Poulsen, J. B. Christensen, J. Hjelm, T. Bjornholm, and J. Ulstrup, J. Am. Chem. Soc. 128, 6574 (2006).
F. Chen, J. Hihath, Z. Huang, X. Li, and N. J. Tao, Annu. Rev. Phys. Chem. 58, 535 (2007).
P. K. Hansma, Tunneling Spectroscopy: Capabilities, Applications, and New Techniques (Plenum, New York, 1982).
F. Dalidchik, M. Grishin, N. Kolchenko, and S. Kovalevskii, Surf. Sci. 387, 50 (1997).
M. V. Grishin, F. I. Dalidchik, S. A. Kovalevskii, N. N. Kolchenko, and B. R. Shub, JETP Lett. 66(1), 37 (1998).
M. Galperin, M. A. Ratner, and A. Nitzan, J. Phys.: Condens. Matter 19, 103201 (2007).
P. I. Arseev and N. S. Maslova, Phys.—Usp. 53(11), 1151 (2010).
Y. Dubi and M. Di Ventra, Rev. Mod. Phys. 83, 131 (2011).
L. Adamska, M. A. Kozhushner, and I. I. Oleynik, Phys. Rev. B: Condens. Matter 80, 108947 (2010).
S. Datta, Quantum Transport: From Atom to Transistor (Cambridge University Press, Cambridge, 2005).
M. A. Kozhushner, V. S. Posvyanskii, and I. I. Oleynik, Chem. Phys. 319, 368 (2005).
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics (Fizmatlit, Moscow, 1962; Pergamon, Oxford, 1965).
O. V. Gritsenko, B. Braïda, and E. J. Baerends, J. Chem. Phys. 119, 1937 (2003).
Yu. Dahnovsky, V. G. Zakrzewski, A. Kletsov, and J. V. Ortiz, J. Chem. Phys. 123, 184711 (2005).
M. P. Samanta, W. Tian, S. Datta, J. I. Henderson, and C. P. Kubiak, Phys. Rev. B: Condens. Matter 53, R7626 (1996).
G.-C. Liang and A. W. Ghosh, Phys. Rev. Lett. 95, 078403 (2005).
C. Toher and S. Sanvito, Phys. Rev. B: Condens. Matter 99, 056801 (2007).
J. Taylor, M. Brandbyge, and K. Stokbro, Phys. Rev. B: Condens. Matter 68, 121101 (2003).
D. Natelson, L. H. Yu, J. W. Ciszek, Z. K. Keane, and J. M. Tour, Chem. Phys. 324, 267 (2006).
J. P. Bergfield and C. A. Stafford, Phys. Rev. B: Condens. Matter 79, 245125 (2009).
D. I. Bolgov, M. A. Kozhushner, R. R. Muriasov, and V. S. Posvianskii, J. Chem. Phys. 119, 3871 (2003).
M. Galperin and A. Nitzan, Ann. New York Acad. Sci. 1006, 48 (2003).
M. Galperin, A. Nitzan, and M. A. Ratner, Phys. Rev. B: Condens. Matter 73, 045314 (2006).
S. I. Pekar, Zh. Eksp. Teor. Fiz. 20, 50 (1950).
Huang Kun and A. Rys, Proc. R. Soc. London, Ser. A 204, 406 (1950).
R. Kubo and I. Toyozawa, Prog. Theor. Phys. 13, 160 (1955).
A. M. Kuznetsov, Charge Transfer in Physics, Chemistry, and Biology (Gordon and Breach, New York, 1995).
Yu. E. Perlin, Sov. Phys.—Usp. 6, 542 (1963).
R. Marcus, J. Phys. Chem. 24,966, 979 (1956).
M. A. Kozhushner, in Physico-Chemical Phenomena in Thin Films and at Solid Surfaces, Ed. by L. I. Trakhtenberg, S. H. Lin, and O. J. Ilegbusi (Elsevier, Amsterdam, 2007), Vol. 34, Chap. 2.
I. Diez-Perz, J. Hihath, Y. Lee, L. Yu, L. Adamska, M. A. Kozhushner, I. I. Oleynik, and N. Tao, Nat. Chem. 1, 635 (2009).
F. I. Dalidchik, Sov. Phys. JETP 60(4), 795 (1984).
Z. Ioffe, T. Shamai, A. Ophir, G. Noy, I. Yutsis, K. Kfir, O. Cheshnovsky, and Y. Selzer, Nat. Nanotechnol. 3, 727 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Kozhushner, I.I. Oleinik, 2012, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 142, No. 5, pp. 862–872.
Rights and permissions
About this article
Cite this article
Kozhushner, M.A., Oleinik, I.I. Vibrational excitation of a molecule by a resonance current. J. Exp. Theor. Phys. 115, 759–768 (2012). https://doi.org/10.1134/S1063776112100056
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776112100056