Please wait a minute...
Frontiers of Chemistry in China

ISSN 1673-3495

ISSN 1673-3614(Online)

CN 11-5726/O6

Front. Chem. China    2010, Vol. 5 Issue (1) : 11-28    https://doi.org/10.1007/s11458-009-0205-6
Research articles
Theoretical studies on electronic spectroscopy and dynamics with the real-time time-dependent density functional theory
Jie LIU1,Zhenyu GUO1,Jin SUN1,Wanzhen LIANG1, 2,
1.Hefei National Laboratory for Physical Science at Microscale and Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China; 2.2010-03-15 9:35:15;
 Download: PDF(680 KB)  
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Time-dependent density functional theory (TDDFT) has evolved into a general routine to extract the energies of low-lying excited states over the last decades. Driven by the remarkable progress of laser technology, the study of the interaction between matter and intense laser fields with ultrashort pulse duration develops rapidly. A great number of new strong field phenomena emerge. The requirement of a theoretical tool to study the intense field phenomena and dynamical processes of polyatomic systems is urgent. To extend the power of the TDDFT beyond the linear responses, an alternative scheme has been developed by numerically solving the time-dependent Kohn-Sham equations directly in real-time domain. In this article, we summarize the algorithms and capabilities of the real-time TDDFT on studying electron spectroscopy and dynamics of polyatomic systems. The failure of TDDFT with the adiabatic local-density approximation on some dynamical processes and the possible solutions are synopsized as well. The numerical implementation of algorithms and applications of RT-TDDFT on the linear and nonlinear spectroscopies and electronic dynamics of nano-size nonmetal clusters are displayed.
Keywords TDDFT      linear and nonliear optical spectroscopies      electron dynamics      intense field      HHG      interface charge transfer      
Issue Date: 05 March 2010
 Cite this article:   
管理员,Jie LIU,Jin SUN, et al. Theoretical studies on electronic spectroscopy and dynamics with the real-time time-dependent density functional theory[J]. Front. Chem. China, 2010, 5(1): 11-28.
 URL:  
https://academic.hep.com.cn/fcc/EN/10.1007/s11458-009-0205-6
https://academic.hep.com.cn/fcc/EN/Y2010/V5/I1/11
Runge, E.; Gross, E. K. U., Phys. Rev. Lett. 1984, 52, 997―1000
Marques M. A. L.; Gross, E. K. U., Annu. Rev. Phys. Chem. 2004, 55, 427―455
Ring, P.; Schuck, P., The Nuclear Many-body Problem, Springer: New York, 1980
Casida, M. E., Recent Advances in Density Functional Methods,Part I, World Scientific: Singapore, 1995
Casida, M. E., Recent Developments and Applications in DensityFunctional Theory, Elsevier: Amsterdam, 1996
Hirata, S.; Head-Gordon, M., Chem. Phys. Lett. 1999, 314, 291―299
Zangwill, A.; Soven, P., Phys. Rev. A1980, 21, 1561―1572
Nuroh, K.; Sott, M. J.; Zaremba, E., Phys. Rev. Lett. 1982, 49, 862―866
Mahan, G. D., J. Chem. Phys. 1982, 76, 493―497
Baroni, S.; Giannozzi, P.; Testa, A., Phys. Rev. Lett. 1987, 58, 1861―1864
Levine Z. H.; Allan, D. C., Phys. Rev. Lett. 1989, 63, 1719―1722
Yabana, K.; Bertsch, G. F., Phys. Rev. B1996, 54, 4484―4487
Rubio, A.; Alonso, J. A.; Blase, X.; Balbas, L. C.; Louie, S. G., Phys. Rev. Lett. 1996, 77, 247―250
van Gisbergen, S. J. A.; Snijders, J. G.; Baerends, E. J., Phys. Rev. Lett. 1997, 78, 3097―3100
Shukla, M. K.; Leszczynski, J., J. Phys. Chem. A2004, 108, 10367―10375
Rogers, J. E.; Nguyen, K. A.; Hufnagle D. C.; McLean, D. G.; Su, W. J.; Gossett, M.; Burke, A. R.; Vinogradov, S. A.; et al., J. Phys. Chem. A, 2003, 107, 11331―11339
Furche, F.; Ahlrichs, R., J. Chem. Phys. 2002, 117, 7433―7447
Scalmani, G.; Frisch, M. J.; Mennucci, B.; Tomasi, J.; Cammi, R.; Barone, V., J. Chem. Phys. 2006, 124, 094107
Krausz, F.; Ivanov, M., Rev. Mod. Phys. 2009, 81, 163―234
Agostini, P.; Fabre, F.; Mainfray, G.; Petite, G.; Rahman, N. K., Phys. Rev. Lett. 1979, 42, 1127―1130
Ferray, M.; L'Huillier, A.; Li, X. F.; Lempre, L. A.; Mainfray, G.; Manus, C., J. Phys. B1988, 21, L31―L35
Jahnke, T.; Czasch, A.; Schöffler, M. S.; Schössler, S.; Knapp, A.; Kösz, M.; Titze, J.; Wimmer, C.; et al., Phys. Rev. Lett. 2004, 93, 163401
Bucksbaum, P. H., Science2007, 317, 766―769
Goulielmkis, E.; Yakovlev, V. S.; Cavalieri, A. L.; Uiberacker, M.; Pervak, V.; Apolonski, A.; Kienberger, R.; Kleineberg, U.; et al., Science2007, 317, 769―775
Kapteyn, H.; Cohen, O.; Christov, I.; Murnane, M., Science2007, 317, 775―778
Calvayrac, F.; Reinhard, P. G.; Suraud, E.; Ullrich, C. A., Phys. Reports2000, 337, 493―578
Kling, M. F.; Vrakking, M. J. J., Ann. Rev. Phys. Chem. 2008, 59, 463―492
Winterfeldt, C.; Spielmann, C.; Gerber, G., Rev. Mod. Phys. 2008, 80, 117―140
Farkas, G.; Toth, C., Phys. Lett. A1992, 168, 447―450
Antoine, P.; L’Huillier, A.; Lewenstein, M., Phys. Rev. Lett. 1996, 77, 1234―1237
Antoine, P.; Milosevic, D. B.; L’Huillier, A.; Gaarde, M. B.; Salieres, P.; Lewenstein, M., Phys. Rev. A, 1997, 56, 4960―4969
Harris, S. E.; Sokolov, A. V., Phys. Rev. Lett. 1998, 81, 2894―2897
Corkum, P. B., Phys. Rev. Lett. 1993, 71, 1994―1997
Hay, N.; Nalda, R. de; Halfmann, T.; Mendham, K. J.; Mason, M. B.; Castillejo, M.; Marangos, J. P., Eur. Phys. J. D2001, 14, 231―240
Baker, S.; Robinson, J. S.; Haworth, C. A.; Teng, H.; Smith, R. A.; Chirila, C. C.; Lein, M.; Tisch, J. W. G.; et al., Science2006, 312, 424―427
Wagner, N. L.; Wuest, A.; Christov, I. P.; Popmintchev, T.; Zhou, X; Murnane, M. M.; Kapteyn, H. C., Proc. Nat. Aca. Sci. 2006, 103, 13279―13285
Zhang, G. P., Phys. Rev. Lett. 2005, 95, 047401
Averbukh, V.; Alon, O. E.; Moiseyev, N., Phys. Rev. A2001, 64, 033411
Baer, R.; Neuhauser, D.; Zdanska, P. R.; Moiseyev, N., Phys. Rev. A, 2003, 68, 043406
Li, X. S.; Tully, J. C.; Schlegel, H. B.; Frisch, M. J.. J. Chem. Phys. 2005, 123, 084106
Li, X. S.; Smith, S. M.; Markevitch, A. N.; Romanov, D. A.; Levis, R. J.; Schlegel, H. B., Phys. Chem. Chem. Phys. 2005, 7, 233―239
Isborn, C. M.; Li, X. S.; Tully, J. C., J. Chem. Phys. 2007, 126, 134307
Schlegel, H. B.; Smith, S. M. ; Li, X. S., J. Chem. Phys. 2007, 126, 244110
Smith, S. M.; Li, X. S.; Markevitch, A.; Romanov, D.; Levis, R. J.; Schlegel, H. B., J. Phys. Chem. A2007, 111, 6920―6932
Castro, A.; Marques, M. A. L.; Alonso, J. A.; Bertsch, G. F.; Rubio, A., Eur. Phys. J. D2004, 28, 211―218
Isborn, C. M.; Li, X.; Tully, J. C., J. Chem. Phys. 2007, 126, 134307
Tully, J. C., Dynamics of Molecular Collisions Vol. 2, New York: Plenum, 1976, p. 217
Tully, J. C., J. Chem. Phys. 1990, 93, 1061―1071
Parandekar, P. V.; Tully, J. C., J. Chem. Phys. 2005, 122, 094102
Craig, C. F.; Duncan, W. R.; Prezhdo, O. V., Phys. Rev. Lett., 2005, 95, 163001
Yam, C. Y.; Yokojima, S.; Chen, G. H., Phys. Rev. B2003, 68, 153105
Yam, C. Y.; Yokojima, S.; Chen, G. H., J. Chem. Phys. 2003, 119, 8794―8803
Wang, F.; Yam, C. Y.; Chen, G. H.; Fan, K., J. Chem. Phys. 2007, 126, 134104
Castro, A.; Marques, M. A. L.; Rubio, A., J. Chem. Phys. 2004, 121, 3425―3433
Yabana, K.; Nakatsukasa, T.; Iwata, J. I.; Bertsch, G. F., Phys. Status Solidi B2006, 243, 1121―1138
Cheng, C. L.; Evans, J. S.; Voorhis, T. V., Phys. Rev. B2006, 74, 155112
Pi, M.; Ancilotto, F.; Lipparini, E.; Mayol, R., Physica E2004, 24, 297―307
Marques, M. A. L.; Castro, A.; Bertsch, G. F.; Rubio, A., Comput. Phys. Commun. 2003, 151, 60―78
Baer, R., Phys. Rev. A2000, 62, 063810
Baer, R.; Gould, R., J. Chem. Phys. 2001, 114, 3385―3392
Baer, R.; Kurzwell, R.; Cederbaum, L. S., IsraelJ. Chem. 2005, 45, 161―170
Tsolakidis, A.; Sánchez-Portal, D.; Martin, R. M., Phys. Rev. B2002, 66, 235416
Livshits, E.; Baer, R., J. Phys. Chem. 2006, 110, 8443―8450
Gordon, A.; Kartner, F. X,; Rohringer, N.; Santra, R., Phys. Rev. Lett. 2006, 96, 223902
Onida, G.; Reining, L.; Rubio, A., Rev. Mod. Phys. 2002, 74, 601―659
Burke, K.; Werschnik, J.; Gross, E. K. U., J. Chem. Phys. 2005, 123, 062206
Lein, M.; Kreibich, T.; Gross, E. K. U.; Engel, V., Phys. Rev. A2002, 65, 033403
Pronin, K. A.; Bandrauk, A. D., Phys. Rev. Lett. 2006, 97, 020602
Suzuki, M., J. Phys. Soc. Jpn. 1993, 61, L3015―L3019
Sugino, O.; Miyamoto, Y., Phys. Rev. B1999, 59, 2579―2586
Chu, S. I., J. Chem. Phys. 2005, 123, 62207
Chu, S. I.; Telnov, D. A., Phys. Rep. 2004, 390, 1―131
Chu, X.; Chu, S. I., Phys. Rev. A2004, 70, 061402
Guan, X. X.; Tong, X. M.; Chu, S. I., Phys. Rev. A2006, 73, 23403
Telnov, D. A.; Chu, S. I., Phys. Rev. A2005, 71, 13408
Usachenko, V. I.; Chu, S. I., Phys. Rev. A2005, 71, 63410
Manschwetus, B.; Nubbemeyer, T.; Gorling, K.; Steinmeyer, G.; Eichmann, U.; Rottke, H.; Sandner, W., Phys. Rev. Lett. 2009, 102, 113002
Bandrauk, A. D.; Ullrich, C., Time-DependentDensity Functional Theory-New Developments, Springer: New York, 2007
Ullrich, C. A.; Tokatly, I. V., Phys. Rev. B2006, 73, 235102
Kurzweil, Y.; Baer, R., J. Chem. Phys. 2004, 121, 8731―8741
Liang, W. Z.; Yokojima, S.; Chen, G. H., J. Chem. Phys. 1999, 110, 1844―1855
Liang, W. Z.; Saravanan, C.; Shao, Y.; Baer, R.; Bell, A. T.; Head-Gordon, M., J. Chem. Phys. 2003, 119, 4117―4125
Kosloff, R., J. Phys. Chem. 1988, 92, 2087―2100
Hu, W.; Schatz, G. C., J. Chem. Phys. 2006, 125, 132301
Sun, J.; Song, J.; Zhao, Y.; Liang, W. Z., J. Chem. Phys. 2007, 127, 234107
Lauvergnat, D.; Blasco, S.; Chapuisat, X.; Nauts, A., J. Chem. Phys. 2007, 126, 204103
Pollard, W. T.; Friesner, R. A., J. Chem. Phys. 1994, 100, 5054―5065
Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P., Numerical Recipes in Fortran 90, 2nd Ed.; CambridgeUniversity Press: London, 1996
Blanes, S.; Casas, F.; Ros, J., BIT2002, 42, 262―284
Magnus, W., Pure Appl. Math. 1954, 7, 649―673
Diele, F.; Lopez, L.; Peluso, R., Adv. Comput. Math. 1998, 8, 317―334
Watanabe, N.; Tsukada, M., Phys. Rev. E2002, 65, 036705
Liang, W. Z.; Baer, R.; Saravanan, C.; Shao, Y. H.; Bell, A. T.; Head-Gordon, M., J. Comp. Phys. 2004, 194, 575―587
Iyengar, S. S.; Schlegel, H. B.; Millam, J. M.; Voth, G. A.; Scuseria, G. E.; Frisch, M. J., J. Chem. Phys. 2001, 115, 10291―1030
Liang, W. Z.; Yokojima, S.; Chen, G. H., J. Chem. Phys. 2000, 113, 1403―1408
Mitas, L.; Therrien, J.; Twesten, R.; Belomoin, G.; Nayfeh, M. H., Appl. Phys. Lett. 2001, 78, 1918―1920
Wadt, W. R.; Hay, P. J., J. Chem. Phys. 1985, 82, 284―298
Shao, Y.; Molnar, L. F.; Jung, Y.; Kussmann, J.; Ochsenfeld, C.; Brown, S. T.; Gilbert, A. T. B.; Slipchenko, L. V.; et al., Phys. Chem. Chem. Phys. 2006, 8, 3172―3191
Jackson, J. D. Classical Electrodynamics 2nd Ed.; Wiley-VCH: New York, 1975
Sun, J.; Guo, Z.; Liang, W. Z., Phys. Rev. B2007, 75, 195438
Sun, J.; Liang, W. Z., Liu, Y., J. Theo. Comp. Chem. 2008, 7, 579―593
Sun, J.; Liu, J.; Liang, W. Z.; Zhao, Y., J. Phys. Chem. 2008, 112, 10442―10447
Stephens, P. J.; Devlin, F. J.; Chabalowski, C. F.; Frisch, M. J., J. Phys. Chem. 1994, 98, 11623―11627
Pacios, L. F.; Christiansen, P.A., J. Chem. Phys. 1985, 82, 2664―2671
Alon, O. E.; Averbukh, V.; Moiseyev, N., Phys. Rev. Lett. 1998, 80, 3743―3746
Moiseyev, N.; Lein, M., J. Phys. Chem. A2003, 107, 7181―7188
Bavli, R.; Metiu, H., Phys. Rev. A1993, 47, 3299―3310
Lezuis, M.; Blanchet, V.; Ivanov, M. Y.; Stolow, A., J. Chem. Phys. 2002, 117, 1575―1588

doi: 10.1063/1.1487823
Lezuis, M.; Blanchet, V.; Rayner, D. M.; Villeneuve, D. M.; Stolow, A.; Ivanov, M. Y., Phys. Rev. Lett. 2001, 86, 51―54

doi: 10.1103/PhysRevLett.86.51
Barth, I.; Manz, J.; Shigeta, Y.; Yagi, K., J. Am. Chem. Soc. 2006, 128, 7043–7049

doi: 10.1021/ja057197l
Barth, I.; Manz, J., Angew. Chem. Int. Ed. 2006, 45, 2962―2965

doi: 10.1002/anie.200504147
Burfeindt, B.; Hannappel, T.; Storck, W.; Willig, F., J. Phys. Chem. 1996, 100, 16463―16465

doi: 10.1021/jp9622905
Onda, K.; Li, B.; Zhao, J.; Jordan, K. D.; Yang, J. L.; Petek, H., Science2005, 308, 1154―1158

doi: 10.1126/science.1109366
ORegan, B.; Grätzel, M., Nature1991, 353, 737―740
Grätzel, M., Nature, 2001, 414, 338―344

doi: 10.1038/35104607
Guo, Z. Y.; Liang, W. Z.; Zhao, Y.; Chen, G. H., J. Phys. Chem. C2008, 112, 16655―16662

doi: 10.1021/jp802007h
Kreibich, T.; Lein, M.; Engel, V.; Gross, E. K. U., Phys. Rev. Lett. 2001, 87, 103901

doi: 10.1103/PhysRevLett.87.103901
Marangos, J. P.; Baker, S.; Kajumba, N.; Robinson, J. S.; Tisch, J. W. G.; Torres, R., Phys. Chem. Chem. Phys. 2008, 10, 35―48

doi: 10.1039/b714126m
Lein, M., Phys. Rev. Lett. 2005, 94, 053004

doi: 10.1103/PhysRevLett.94.053004
Cai, Z. L.; Sendt, K.; Reimers, J. R., J. Chem. Phys. 2002, 117, 5543―5549

doi: 10.1063/1.1501131
Dreuw, A.; Head-Gordon, M., Chem. Rev. 2005, 105, 4009―4037

doi: 10.1021/cr0505627
Dreuw, A.; Head-Gordon, M., J. Am. Chem. Soc. 2004, 126, 4007―4016

doi: 10.1021/ja039556n
Dreuw, A.; Weisman, J. L.; Head-Gordon, M., J. Chem. Phys. 2003, 119, 2943―2946

doi: 10.1063/1.1590951
Tong X. M.; Chu, S. I., Phys. Rev. A. 2001, 64, 013417

doi: 10.1103/PhysRevA.64.013417
Krieger, J. B.; Li, Y.; Iafrate, G. J., Phys. Lett. A1990, 146, 256―260

doi: 10.1016/0375-9601(90)90975-T
Sharp, R. T.; Horton, G. H., Phys. Rev. 1953, 90, 317―317

doi: 10.1103/PhysRev.90.317
Talman, J. D.; Shadwick, W. F., Phys. Rev. A1976, 14, 36―40

doi: 10.1103/PhysRevA.14.36
Grabo, T.; Gross, E. K. U., Chem. Phys. Lett. 1995, 240, 141―150

doi: 10.1016/0009-2614(95)00500-4
Tong, X. M.; Chu, S. I., Phys. Rev. A1997, 55, 3406―3416

doi: 10.1103/PhysRevA.55.3406
Leininger, T.; Stoll, H.; Werner, H. J.; Savin, A., Chem. Phys. Lett. 1997, 275, 151―160

doi: 10.1016/S0009-2614(97)00758-6
Toulouse, J.; Colonna, F.; Savin, A., J. Chem. Phys. 2005, 122, 014110

doi: 10.1063/1.1824896
Ángyán, J. G.; Gerber, I. C.; Savin, A.; Toulouse, J., Phys. Rev. A2005, 72, 012510

doi: 10.1103/PhysRevA.72.012510
Goll, E.; Werner, H. J.; Stoll, H., Phys. Chem. Chem. Phys. 2005, 7, 3917―3923

doi: 10.1039/b509242f
Goll, E.; Werner, H. J.; Stoll, H.; Leininger, T.; Gori-Giorgi, P.; Savin, A., Chem. Phys. 2006, 329, 276―282

doi: 10.1016/j.chemphys.2006.05.020
Iikura, H.; Tsuneda, T.; Yanai, T.; Hirao, K., J. Chem. Phys. 2001, 115, 3540―3544

doi: 10.1063/1.1383587
Tawada, Y.; Tsuneda, T.; Yanagisawa, S.; Yanai, T.; Hirao, K., J. Chem. Phys. 2004, 120, 8425―8433

doi: 10.1063/1.1688752
Gerber, I. C.; Ángyán, J. G., Chem. Phys. Lett. 2005, 415, 100―105

doi: 10.1016/j.cplett.2005.08.060
Gerber, I. C.; Ángyán, J. G.; Marsman, M.; Kresse, G., J. Chem. Phys. 2007, 127, 054101

doi: 10.1063/1.2759209
Vydrov, O. A.; Heyd, J.; Krukau, A. V.; Scuseria, G. E., J. Chem. Phys. 2006, 125, 074106

doi: 10.1063/1.2244560
Vydrov, O. A.; Scuseria, G. E., J. Chem. Phys. 2006, 125, 234109

doi: 10.1063/1.2409292
Song, J. W.; Hirosawa, T.; Tsuneda, T.; Hirao, K., J. Chem. Phys. 2007, 126, 154105

doi: 10.1063/1.2721532
Cohen, A. J.; Mori-Sánchez, P.; Yang, W., J. Chem.Phys. 2007, 126, 191109

doi: 10.1063/1.2741248
Chai, J. D.; Head-Gordon, M., J. Chem. Phys. 2008, 128, 084106

doi: 10.1063/1.2834918
Chai, J. D.; Head-Gordon, M., Chem. Phys. Lett. 2008, 467, 176―178

doi: 10.1016/j.cplett.2008.10.070
Chai, J. D., Head-Gordon, M., Phys. Chem. Chem. Phys. 2008, 10, 6615―6620

doi: 10.1039/b810189b
Tsuneda, T.; Suzumura, T.; Hirao, K., J. Chem. Phys. 1999, 110, 10664―10678

doi: 10.1063/1.479012
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed