Electron transfer through a molecular wire: Consideration of electron-vibrational coupling within the Liouville space pathway technique

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 24, 2002, Pages 2454111-24541120

  May, V ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BALLISTICS; ELECTRIC CURRENT; ELECTRIC POTENTIAL; ELECTRON TRANSPORT; LIOUVILLE SPACE PATHWAY TECHNIQUE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR PHYSICS; MOTION; SPACE; THEORY; VIBRATION;

EID: 0037116030     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. Molecular Electronic Devices, edited by F. L. Carter (Dekker, New York, 1982).
2. Molecular Electronics: Science and Technology, edited by A. Aviram (AIP, New York, 1992).
3. Molecular Electronics: Properties, Dynamics, and Applications, edited by G. Mahler, V. May, and M. Schriber (Dekker, New York, 1996).
4. Molecular Electronics: Science and Technolgy, edited by A. Aviram and M. Ratner (New York Academy of Sciences, New York, 1998).
5. D. Porath, A. Bezryadin, S. de Vries, and C. Dekker, Nature (London) 403, 635 (2000).
6. M. A. Reed, C. Zhou, C. J. Muller, T. P. Burgin, and J. M. Tour, Science 278, 252 (1997).
7. J. M. Tour, Acc. Chem. Res. 33, 791 (2000).
8. Chem. Phys. 281, (2002), special issue on Transport in molecular wires, edited by P, Hänggi, M. Ratner, and S. Yaliraki.
9. V. Mujica, M. Kemp, and M. Ratner, J. Chem. Phys. 101, 6849 (1994); ibid. 101, 6856 (1994).
10. V. Mujica, M. Kemp, and M. Ratner, J. Chem. Phys. 101, 6849 (1994); ibid. 101, 6856 (1994).
11. V. Mujica, M. Kemp, A. Roitberg, and M. Ratner, J. Chem. Phys. 104, 7296 (1996).
12. M. Magoga and C. Joachim, Phys. Rev. B 561 4722 (1997).
13. W. Tian, S. Datta, S. Hong, R. Reifenberger, J. I. Henderson, and C. P. Kubiak, J. Chem. Phys. 109, 2874 (1998).
14. L. E. Hall, J. R. Reimers, N. S. Hush, and K. Silverbrook, J. Chem. Phys. 112, 1510 (2000).
15. V. Mujica, A. Nitzan, Y. Mao, W. Davis, M. Kemp, A. Roitberg, and M. A. Ratner, in Ref. 30.
16. A. Nitzan, Annu. Rev. Phys. Chem. 52, 481 (2001).
17. A. Onipko, Y. Klymenko, and L. Malysheva, Phys. Rev. B 62, 10 480 (2000).
18. E. G. Petrov, I. S. Tolokh, A. A. Demidenko, and V. V. Gorbach, Chem. Phys. 193, 237 (1995).
19. E. G. Petrov and P. Häggi, Phys. Rev. Lett. 86, 2862 (2001).
20. V. Mujica, A. E. Roitberg, and M. A. Ratner, J. Chem. Phys. 112, 6834 (2000).
21. V. May, Physica D 40, 173 (1989); J. Mol. Electron. 6, 187 (1990); Phys. Lett. A 161, 1118 (1991).
22. V. May, Physica D 40, 173 (1989); J. Mol. Electron. 6, 187 (1990); Phys. Lett. A 161, 1118 (1991).
23. V. May, Physica D 40, 173 (1989); J. Mol. Electron. 6, 187 (1990); Phys. Lett. A 161, 1118 (1991).
24. G. Treboux, J. Phys. Chem. B 104, 9823 (2000).
25. M. Olson, Y. Mao, T. Windus, M. Kemp, M. A. Ratner, N. Leon, and V. Mujica, J. Chem. Phys. 102, 941 (1998).
26. Z. G. Yu, D. L. Smith, A. Saxena, and A. R. Bishop, Phys. Rev. B 59, 16 001 (1999).
27. E. G. Emberly and G. Kirczenow, Phys. Rev. B 61, 5740 (2000).
28. M. K. Okuyama and F. G. Shi, Phys. Rev. B 61, 8224 (2000).
29. D. Segal, A. Nitzan, W. B. Davis, M. R. Wasielewski, and M. A. Ratner. J. Phys. Chem. B 104, 3817 (2000).
30. H. Ness, S. A. Shevlin, and A. J. Fisher, Phys. Rev. B, 63, 125422 (2001).
31. D. Boese and H. Schoeller, Europhys. Lett. 54, 668 (2001).
32. V. May (unpublished).
33. Adv. Chem. Phys. 106 and 107 (1999), edited by J. Jortner and M. Bixon (series editors I. Prigogine and S. A. Rice).
34. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems (Wiley-VCH, Berlin, 1999).
35. M. Sparpaglione and S. Mukamel, J. Chem. Phys. 88, 3263 (1988).
36. Y. Hu and S. Mukamel, J. Chem. Phys. 91, 6973 (1989).
37. K. Blum, Density Matrix Theory and, Applications, 2nd ed. (Plenum, New York, 1996).
38. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2000).
39. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, England, 1995).
40. S. A. Gurvitz and Ya. S. Prager, Phys. Rev. B 53, 15 932 (1996).
41. S. A. Gurvitz, Phys. Rev. B.57, 6602 (1998).
42. M. R. Wegewijs and Yu. V. Nazarov, Phys. Rev. B 60, 14 318 (1999).
43. The transmission coefficients also decide in which manner the various wire states are incorporated in the electron transfer reaction. Note that a coupling of different wire levels appears although any interlevel relaxation has been neglected. This is due to a formation of a superposition state of all wire levels if the excess electron is present in the wire. Once such a sup6rposition state is translated into squares of coupling matrix elements two different wire states contribute simultaneously.
44. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University, New York, 1995).
45. A gives the so-called driving force of the electron transfer reactions.
46. 0 less than 10 meV. In particular, these values are less than the 40 meV used for the basic vibrational frequency.
47. O. Linden and V. May, Eur. Phys. J. D 12, 473 (2000).
48. S. A. Schofield and P. G. Wolynes, J. Chem. Phys. 100, 350 (1994).
49. M. Cho and G. R. Fleming, in Ref. 30, part II, p. 311.
50. A. Golosov and D. R. Reichmann, J. Chem. Phys. 115, 9848 (2001); ibid. 115, 9862 (2001).
51. A. Golosov and D. R. Reichmann, J. Chem. Phys. 115, 9848 (2001); ibid. 115, 9862 (2001).