Linear optical response of current-carrying molecular junction: A nonequilibrium Green's function–time-dependent density functional theory approach
J. Chem. Phys. 128, 124705 (2008); doi:10.1063/1.2876011
Published 25 March 2008
You are not logged in to this journal. Log in
We propose a scheme for calculation of linear optical response of current-carrying molecular junctions for the case when electronic tunneling through the junction is much faster than characteristic time of external laser field. We discuss relationships between nonequilibrium Green's function (NEGF) and time-dependent density functional theory (TDDFT) approaches and derive expressions for optical response and linear polarizability within NEGF-TDDFT scheme. Corresponding results for isolated molecule, derived within TDDFT approach previously, are reproduced when coupling to contacts is neglected.
©2008 American Institute of Physics
| History: | Received 7 December 2007; accepted 16 January 2008; published 25 March 2008 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/128/124705/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (94)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- A. Nitzan and M. A. Ratner,
Science 300, 1384 (2003) . - B. C. Stipe, M. A. Rezaei, and W. Ho, Phys. Rev. Lett. 82, 1724 (1999).
- N. B. Zhitenev, H. Meng, and Z. Bao, Phys. Rev. Lett. 88, 226801 (2002).
- B. C. Stipe, M. A. Rezaei, and W. Ho,
Science 279, 1907 (1998) . - J. Chen, M. A. Reed, A. M. Rawlett, and J. M. Tour,
Science 286, 1550 (1999) . - C. Li, D. Zhang, X. Liu, S. Han, T. Tang, C. Zhou, W. Fan, J. Koehne, J. Han, M. Meyyappan, A. M. Rawlett, D. W. Price, and J. M. Tour, Appl. Phys. Lett. 82, 645 (2003).
- A. S. Blum, J. G. Kushmerick, D. P. Long, C. H. Patterson, J. C. Yang, J. C. Henderson, Y. Yao, J. M. Tour, R. Shashidhar, and B. R. Ratna,
Nat. Mater. 4, 167 (2005) . - D. Djukic and J. M. van Ruitenbeek,
Nano Lett. 6, 789 (2006) . - S. Kubatkin, A. Danilov, M. Hjort, J. Cornil, J.-L. Brédas, N. Stuhr–Hansen, P. Hedegård, and T. Bjørnholm,
Nature (London) 425, 698 (2003) . - J. Park, A. N. Pasupathy, J. I. Goldsmith, C. Chang, Y. Yaish, J. R. Petta, M. Rinkoski, J. P. Sethna, H. D. Abruña, P. L. McEuen, and D. C. Ralph,
Nature (London) 417, 722 (2002) . - L. H. Yu, Z. K. Keane, J. W. Ciszek, L. Cheng, M. P. Stewart, J. M. Tour, and D. Natelson, Phys. Rev. Lett. 93, 266802 (2004).
- A. Nitzan,
Science 317, 759 (2007) . - Z. Wang, J. A. Carter, A. Lagutchev, Y. K. Koh, N.-H. Seong, D. G. Cahill, and D. D. Dlott,
Science 317, 787 (2007) . - J. Lehmann, S. Camalet, S. Kohler, and P. Hanggi,
Chem. Phys. Lett. 368, 282 (2003) ;
S. Kohler, S. Camalet, M. Strass, J. Lehmann, G.-L. Ingold, and P. Hanggi, - J.-H. Tian, B. Liu, X. Li, Z.-L. Yang, B. Ren, S.-T. Wu, N. Tao, and Z.-Q. Tian,
J. Am. Chem. Soc. 128, 14748 (2006) . - D. R. Ward, N. K. Grady, C. S. Levin, N. J. Halas, Y. Wu, P. Nordlander, and D. Natelson,
Nano Lett. 7, 1396 (2007) . - D. Dulic, S. J. van der Molen, T. Kudemac, H. T. Jonkman, J. J. D. de Jong, T. N. Bowden, J. van Esch, B. L. Feringa, and B. J. van Wees, Phys. Rev. Lett. 91, 207402 (2003).
- Y. Wakayama, K. Ogawa, T. Kubota, H. Suzuki, T. Kamikado, and S. Mashiko, Appl. Phys. Lett. 85, 329 (2004).
- S. Yasutomi, T. Morita, Y. Imanishi, and S. Kimura,
Science 304, 1944 (2004) . - A. J. Gesquiere, S.-J. Park, and P. F. Barbara,
J. Phys. Chem. B 108, 10301 (2004) . - M. Moskovitz, Rev. Mod. Phys. 57, 783 (1985).
- S. Nie and S. R. Emory,
Science 275, 1102 (1997) . - K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
- J. Jiang, K. Bosnik, M. Maillard, and L. Brus,
J. Phys. Chem. B 107, 9964 (2003) . - J. Buker and G. Kirczenow, Phys. Rev. B 66, 245306 (2002).
- M. Galperin and A. Nitzan, Phys. Rev. Lett. 95, 206802 (2005);
- U. Harbola, J. B. Maddox, and S. Mukamel, Phys. Rev. B 73, 075211 (2006).
- J. K. Viljas and J. C. Cuevas, Phys. Rev. B 75, 075406 (2007);
- L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
- L. V. Keldysh, Sov. Phys. JETP 20, 1018 (1965).
- C. Caroli, R. Combescot, D. Lederer, P. Nozieres, and D. Saint–James,
J. Phys. C 5, 21 (1971) . - S. Datta,
J. Phys.: Condens. Matter 2, 8023 (1990) ;
G. Neofotistos, R. Lake, and S. Datta, Phys. Rev. B 43, 2442 (1991); - S. Tikhodeev, M. Natario, K. Makoshi, T. Mii, and H. Ueba,
Surf. Sci. 493, 63 (2001) ;
T. Mii, S. Tikhodeev, and H. Ueba, - M. Galperin, M. A. Ratner, and A. Nitzan, J. Chem. Phys. 121, 11965 (2004);
- P. Hohenberg and W. Kohn, Physica B 136, B864 (1964).
- W. Kohn and L. Sham,
Phys. Rev. 140, A1133 (1965) . - R. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989).
- K. Burke, The ABC of DFT (unpublished).
- Y. Q. Xue, S. Datta, and M. A. Ratner,
Chem. Phys. 281, 151 (2002) . - P. Damle, A. W. Ghosh, and S. Datta,
Chem. Phys. 281, 171 (2002) . - M. Brandbyge, J.-L. Moroz, P. Ordejón, J. Taylor, and K. Stokbro, Phys. Rev. B 65, 165401 (2002).
- N. Lorente and M. Persson, Phys. Rev. Lett. 85, 2997 (2000).
- T. Frederiksen, M. Brandbyge, N. Lorente, and A.-P. Jauho, Phys. Rev. Lett. 93, 256601 (2004).
- A. Pecchia, A. Di Carlo, A. Gagliardi, S. Sanna, T. Frauenheim, and R. Gutierez,
Nano Lett. 4, 2109 (2004) . - G. C. Solomon, A. Gagliardi, A. Pecchia, T. Frauenheim, A. Di Carlo, J. R. Reimers, and N. S. Hush, J. Chem. Phys. 124, 094704 (2006).
- N. Sergueev, A. A. Demkov, and H. Guo, Phys. Rev. B 75, 233418 (2007).
- M. Galperin, M. A. Ratner, and A. Nitzan,
J. Phys.: Condens. Matter 19, 103201 (2007) . - D. Waldron, V. Timoshevskii, Y. Hu, K. Xia, and H. Guo, Phys. Rev. Lett. 97, 226802 (2006).
- K. H. Behvan, F. Zahid, D. Kienle, and H. Guo, Phys. Rev. B 76, 045325 (2007).
- K. Stokbro, J. Taylor, M. Brandbyge, J.-L. Moroz, and P. Ordejón,
Comput. Mater. Sci. 27, 151 (2003) . - H. J. Choi, M. L. Cohen, and S. G. Louie, Phys. Rev. B 76, 155420 (2007).
- A. M. Bratkovsky and P. E. Kornilovich, Phys. Rev. B 67, 115307 (2003).
- J. Nara, W. T. Geng, H. Kino, N. Kobayashi, and T. Ohno, J. Chem. Phys. 121, 6485 (2004).
- Y. Selzer, L. Cai, M. A. Cabassi, Y. Yao, J. M. Tour, T. S. Mayer, and D. L. Allara,
Nano Lett. 5, 61 (2005) . - F. Evers, F. Weigend, and M. Koentopp, Phys. Rev. B 69, 235411 (2004).
- C. Toher, A. Filippetti, S. Sanvito, and K. Burke, Phys. Rev. Lett. 95, 146402 (2005).
- M. Koentopp, K. Burke, and F. Evers, Phys. Rev. B 73, 121403(R) (2006).
- F. Evers and K. Burke, Pride, prejudice, and penury of ab initio transport calculations for single molecules in Nano and Molecular Electronics Handbook edited by S. E. Lyshevski (CRC Press, 2007).
- M. Koentopp, C. Chang, K. Burke, and R. Car,
J. Phys.: Condens. Matter20, 083203 (2008) . - R. Gebauer, K. Burke, and R. Car, Lect. Notes Phys. 706, 463 (2006).
- G. Stefanucci, C.-O. Almbladh, S. Kurth, E. K. U. Gross, A. Rubio, R. van Leeuwen, N. E. Dahlen, and U. von Barth, Lect. Notes Phys. 706, 479 (2006).
- M. Rohlfing and S. G. Louie, Phys. Rev. Lett. 82, 1959 (1999).
- J.-W. van der Horst, P. A. Bobbert, M. A. J. Michels, G. Brocks, and P. J. Kelly, Phys. Rev. Lett. 83, 4413 (1999).
- A. Ruini, M. J. Caldas, G. Bussi, and E. Molinari, Phys. Rev. Lett. 88, 206403 (2002).
- G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys. 74, 601 (2002).
- E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).
- E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985).
- M. E. Casida, F. Gutierrez, and J. Guan, J. Chem. Phys. 113, 7062 (2000);
- V. Chernyak and S. Mukamel, J. Chem. Phys. 104, 444 (1996).
- V. Chernyak and S. Mukamel, J. Chem. Phys. 112, 3572 (2000).
- S. Tretiak and V. Chernyak, J. Chem. Phys. 119, 8809 (2003).
- S. Tretiak, K. Igumenshchev, and V. Chernyak, Phys. Rev. B 71, 033201 (2005).
- S. Tretiak, S. Kilina, A. Piryatinski, A. Saxena, R. L. Martin, and A. Bishop,
Nano Lett. 7, 86 (2007) . - S. Tretiak,
Nano Lett. 7, 2201 (2007) . - A. Piryatinski, S. Tretiak, and V. Chernyak (unpublished).
- N. T. Maitra and M. van Faassen, J. Chem. Phys. 126, 191106 (2007).
- G. Stefanucci and C.-O. Almbladh,
Europhys. Lett. 67, 14 (2004) . - G. Stefanucci and C.-O. Almbladh, Phys. Rev. B 69, 195318 (2004).
- S. Kurth, G. Stefanucci, C.-O. Almbladh, A. Rubio, and E. K. U. Gross, Phys. Rev. B 72, 035308 (2005).
- R. Gaudoin and K. Burke, Phys. Rev. Lett. 93, 173001 (2004).
- R. Baer, J. Chem. Phys., 128, 044103 (2008).
- A.-P. Jauho, N. S. Wingreen, and Y. Meir, Phys. Rev. B 50, 5528 (1994).
- M. Cini, Phys. Rev. B 22, 5887 (1980).
- R. van Leeuwen, Phys. Rev. Lett. 80, 1280 (1998).
- F. Furche, J. Chem. Phys. 114, 5982 (2001).
- N. N. Lathiotakis, N. Helbig, and E. K. U. Gross, Phys. Rev. A 72, 030501(R) (2005).
- K. Pernal, O. Gritsenko, and E. J. Baerends, Phys. Rev. A 75, 012506 (2007).
- H. Haug and A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer-Verlag, Berlin, 1996).
- D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Springer, New York, 1995).
- S. Hershfield, Phys. Rev. Lett. 70, 2134 (1993).
- J. E. Han, Phys. Rev. B 73, 125319 (2006);
- R. van Leeuwen, Phys. Rev. Lett. 76, 3610 (1996).
- M. E. Casida, Recent Advances in Density-Functional Methods, edited by D. A. Chong (World Scientific, Singapore, 1995), Pt. 1, Vol. 3.
- M. Galperin, M. A. Ratner, and A. Nitzan (unpublished).
45, 6670 (1992);
46, 4757 (1992).
68, 205406 (2003).
M. Galperin and A. Nitzan, J. Chem. Phys. 124, 234709 (2006).








