A theoretical study of molecular conduction. III. A nonequilibrium-Green's-function-based Hartree-Fock approach
J. Chem. Phys. 124, 114708 (2006); doi:10.1063/1.2177652
Published 20 March 2006
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Many recent experimental and theoretical studies have paid attention to the conductivity of single molecule transport junctions, both because it is fundamentally important and because of its significance in the development of molecular-based electronics. In this paper, we discuss a nonequilibrium Green's function (NEGF)-based Hartree-Fock (HF) approach; the NEGF method can appropriately accommodate charge distributions in molecules connected to electrodes. In addition, we show that a NEGF-based density matrix can reduce to an ordinary HF density matrix for an isolated molecule if the molecule does not interact with electrodes. This feature of the NEGF-based density matrix also means that NEGF-based Mulliken charges can be reduced to ordinary Mulliken charges in those cases. Therefore, the NEGF-based HF approach can directly compare molecules that are connected to electrodes with isolated ones, and is useful in investigating complicated features of molecular conduction. We also calculated the transmission probability and conduction for benzenedithiol under finite electrode biases. The coupling between the electrodes and molecule causes electron transfer from the molecule to the electrodes, and the applied bias modifies this electron transfer. In addition, we found that the molecule responds capacitively to the applied bias, by shifting the molecular orbital energies.
©2006 American Institute of Physics
| History: | Received 6 September 2005; accepted 24 January 2006; published 20 March 2006 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/124/114708/1 |
KEYWORDS and PACS
organic compounds,
HF calculations,
electrodes,
probability,
electron mobility,
electrical conductivity
- 72.20.Fr
Low-field transport and mobility; piezoresistance (semiconductors/insulators) - 71.15.Ap
Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.) (condensed matter electronic structure) - 82.45.-h
Electrochemistry and electrophoresis - YEAR: 2006
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (48)
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- M. Dorogi, J. Gomez, R. Osifchin, R. P. Andress, and R. Reifenberger, Phys. Rev. B 52, 9071 (1995).
- L. A. Bumm, J. J. Arnold, M. T. Cygan, T. D. Dunbar, T. P. Burgin II, D. L. Allara, J. M. Tour, and P. S. Weiss,
Science 271, 1705 (1996) . - M. A. Reed, C. Zhou, C. J. Muller, T. P. Burgin, and J. M. Tour,
Science 278, 252 (1997) . - J. Chen, M. A. Reed, A. M. Rawlett, and J. M. Tour,
Science 286, 1550 (1999) . - J. K. Gimzewski and C. Joachim,
Science 283, 1683 (1999) . - X. D. Cui, A. Primak, X. Zarate, J. Tomfohr, O. F. Sankey, A. L. Moore, T. A. Moore, D. Gust, G. Harris, and S. M. Lindsay,
Science 294, 571 (2001) . - J. G. Kushmerick, D. B. Holt, J. C. Yang, J. Naciri, M. H. Moore, and R. Shashidhar, Phys. Rev. Lett. 89, 086802 (2002).
- J. Reichert, R. Ochs, D. Beckmann, H. B. Weber, M. Mayor, and H. V. Leohneysen, Phys. Rev. Lett. 88, 176804 (2002).
- C. P. Collier, E. W. Wong, M. Belohradsky, F. M. Raymo, J. F. Stoddart, P. J. Kuekes, R. S. Williams, and J. R. Heath,
Science 285, 391 (1999) . - C. P. Collier, G. Mattersteig, E. W. Wong, Y. Luo, K. Beverly, J. Sampaio, F. M. Raymo, J. F. Stoddart, and J. R. Heath,
Science 289, 1172 (2002) . - T. Rueckes, K. Kim, E. Joselevich, G. Y. Tseng, C.-L. Cheung, and C. M. Lieber,
Science 289, 94 (2000) . - C. Zhou, J. Kong, E. Yenilmez, and H. Dai,
Science 290, 1552 (2000) . - Z. J. Donhauser, B. A. Mantooth, K. F. Kelly, L. A. Bumm, J. D. Monnell, J. J. Stapleton, Jr., A. M. Rawlett, D. L. Allara, J. M. Tour, and P. S. Weiss,
Science 292, 2303 (2001) . - M. A. Reed, J. Chen, A. M. Rawlett, D. W. Price, and J. M. Tour, Appl. Phys. Lett. 78, 3735 (2001).
- C. Li, D. Zhang, X. Liu et al., Appl. Phys. Lett. 82, 645 (2003).
- S. Datta, Electron Transport in Mesoscopic System (Cambridge University Press, Cambridge, 1995).
- S. Datta, W. Tian, S. Hong, R. Reifenberger, J. I. Henderson, and C. P. Kubiak, Phys. Rev. Lett. 79, 2530 (1997).
- D. K. Ferry and S. M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997).
- A. Nitzan and M. A. Ratner,
Science 300, 1384 (2003) . - T. Shimazaki and K. Yamashita,
Int. J. Quantum Chem. 106, 803 (2006) . - T. Shimazaki, H. Maruyama, Y. Asai, and K. Yamashita, J. Chem. Phys. 123, 164111 (2005).
- F. Guinea, C. Tejedor, and F. Flores, Phys. Rev. B 28, 4397 (1983).
- M. P. Lopez-Sancho, J. M. Lopez-Sancho, and J. Ribio,
J. Phys. F: Met. Phys. 14, 1205 (1984) . - M. P. Lopez-Sancho, J. M. Lopez-Sancho, and J. Ribio,
J. Phys. F: Met. Phys. 15, 851 (1985) . - S. Sanvito, C. J. Lambert, J. H. Jefferson, and A. M. Bratkovsky, Phys. Rev. B 59, 11936 (1999).
- P. S. Krstic, X.-G. Zhang, and W. H. Butler, Phys. Rev. B 66, 205319 (2002).
- W. Tian, S. Datta, J. I. Henderson, and C. P. Kubiak, J. Chem. Phys. 109, 2874 (1998).
- P. S. Damle, A. W. Ghosh, and S. Datta, Phys. Rev. B 64, 201403 (2001).
- B. Larade, J. Taylor, H. Mehrez, and H. Guo, Phys. Rev. B 64, 075420 (2001).
- J. Taylor, H. Guo, and J. Wang, Phys. Rev. B 63, 121104(R) (2001).
- J. Taylor, H. Guo, and J. Wang, Phys. Rev. B 63, 245407 (2001).
- M. Brandbyge, J.-L. Mozos, P. Ordejon, J. Taylor, and K. Stokbro, Phys. Rev. B 65, 165401 (2002).
- P. Damle, A. W. Ghosh, and S. Datta,
Chem. Phys. 281, 171 (2002) . - Y. Xue, S. Datta, and M. A. Ratner,
Chem. Phys. 281, 151 (2002) . - Y. Xue and M. A. Ratner, Phys. Rev. B 68, 115406 (2003).
- P. Havu, V. Havu, M. J. Puska, and R. M. Nieminen, Phys. Rev. B 69, 115325 (2004).
- W. C. J. Bauschlicher, A. Ricca, Y. Xue, and M. A. Ratner,
Chem. Phys. Lett. 390, 246 (2004) . - M. Galperin and A. Nitzan,
Ann. N.Y. Acad. Sci. 1006, 48 (2003) . - V. Mujica, M. Kemp, A. Roitberg, and M. Ratner, J. Chem. Phys. 104, 7296 (1996).
- P. Delaney and J. C. Greer, Phys. Rev. Lett. 93, 036805 (2004).
- R. Landauer,
IBM J. Res. Dev. 1, 223 (1957) . - R. Landauer,
Phys. Lett. 85A, 91 (1981) . - L. P. Kadanoff and G. Baym, Quantum Statical Mechanics (W. A. Benjamin, Inc., New York, 1962).
- H. Haug and A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer, New York, 1996).
- G. D. Mahan, Many-Particle Physics, 3rd ed. (Kluwer Academic, New York/Plenum, New York, 2000).
- P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
- W. V. Haeringen, B. Farid, and D. Lenstra, Phys. Scr., T T19, 282 (1987).
- P. Pulay,
J. Comput. Chem. 3, 556 (1982) .








