Abstract
Nonadiabatic dynamics simulation of electronically-excited states has been a research area of fundamental importance, providing support for spectroscopy, explaining photoinduced processes, and predicting new phenomena in a variety of specialties, from basic physical-chemistry, through molecular biology, to materials engineering. The demands in the field, however, are quickly growing, and the development of surface hopping based on density functional theory (SH/DFT) has been a major advance in the field. In this contribution, the surface hopping approach, the methods for computation of excited states based on DFT, the connection between these methodologies, and their diverse implementations are reviewed. The shortcomings of the methods are critically addressed and a number of case studies from diverse fields are surveyed.
Keywords
- Density functional theory
- Excited states
- Nonadiabatic dynamics
- Photochemistry
- Surface hopping
This is a preview of subscription content, access via your institution.
Buying options







Abbreviations
- ADC:
-
Algebraic diagrammatic construction
- ALDA:
-
Adiabatic local density approximation
- CASSCF:
-
Complete active space self-consistent field
- CC:
-
Coupled cluster
- CI:
-
Configuration interaction
- CIS:
-
CI with single excitations
- CPA:
-
Classical path approximation
- DFT:
-
Density functional theory
- DFTB:
-
Density functional based tight binding
- DISH:
-
Decoherence-induced surface hopping
- GFSH:
-
Global-flux surface hopping
- LR:
-
Linear response
- KS:
-
Kohn–Sham
- MCSCF:
-
Multiconfigurational self-consistent field
- MRCI:
-
Multireference CI
- MR-CISD:
-
MRCI with singles and doubles
- MRPT:
-
Multireference perturbation theory
- REKS:
-
Spin-restricted ensemble-referenced KS
- ROKS:
-
Restricted open-shell KS
- RPA:
-
Random phase approximation
- SDKS:
-
Single determinant KS
- SH:
-
Surface hopping
- SH/DFT:
-
Surface hopping with DFT excited states
- TD:
-
Time-dependent
- TDA:
-
Tamm–Dancoff approximation
- TDHF:
-
Time-dependent Hartree–Fock
- UBS:
-
Spin-unrestricted broken symmetry
References
Winter NOC, Graf NK, Leutwyler S, Hattig C (2013) Phys Chem Chem Phys 15:6623
Silva-Junior MR, Thiel W (2010) J Chem Theory Comput 6:1546
Silva-Junior MR, Schreiber M, Sauer SPA, Thiel W (2010) J Chem Phys 133:174318
Schreiber M, Silva-Junior MR, Sauer SPA, Thiel W (2008) J Chem Phys 128:134110
Silva-Junior MR, Schreiber M, Sauer SPA, Thiel W (2008) J Chem Phys 129:104103
Wu W, Zhang H, Braïda B, Shaik S, Hiberty P (2014) Theor Chem Acc 133:1
Dreuw A, Weisman JL, Head-Gordon M (2003) J Chem Phys 119:2943
Yonehara T, Hanasaki K, Takatsuka K (2011) Chem Rev 112:499
Yarkony DR (2011) Chem Rev 112:481
Worth GA, Cederbaum LS (2004) Annu Rev Phys Chem 55:127
Barbatti M (2011) WIREs Comput Mol Sci 1:620
Nelson T, Fernandez-Alberti S, Roitberg AE, Tretiak S (2013) J Chem Phys 138:224111
Zheng J, Meana-Pañeda R, Truhlar DG (2014) J Phys Chem Lett 5:2039
Nelson T, Fernandez-Alberti S, Chernyak V, Roitberg AE, Tretiak S (2012) J Chem Phys 136:054108
Akimov AV, Prezhdo OV (2014) Phys Rev Lett 113:153003
Gorshkov VN, Tretiak S, Mozyrsky D (2013) Nat Commun 4:2144
Kelly A, van Zon R, Schofield J, Kapral R (2012) J Chem Phys 136:084101
Nikitin EE (1968) In: Hartmann H, Heidberg J, Heydtmann H, Kohlmaier GH (eds) Chemische Elementarprozesse. Springer, Berlin
Tully JC, Preston RK (1971) J Chem Phys 55:562
Curchod BFE, Rothlisberger U, Tavernelli I (2013) ChemPhysChem 14:1314
Akimov AV, Neukirch AJ, Prezhdo OV (2013) Chem Rev 113:4496
Fabiano E, Keal TW, Thiel W (2008) Chem Phys 349:334
Wang L, Trivedi D, Prezhdo OV (2014) J Chem Theory Comput 10:3598
Fabiano E, Groenhof G, Thiel W (2008) Chem Phys 351:111
Kammerer CF, Lasser C (2008) J Chem Phys 128:144102
Lasser C, Swart T (2008) J Chem Phys 129:034302
Zhu C, Nakamura H, Nobusada K (2000) Phys Chem Chem Phys 2:557
Tully JC (1990) J Chem Phys 93:1061
Blais NC, Truhlar DG (1983) J Chem Phys 79:1334
Jaeger HM, Fischer S, Prezhdo OV (2012) J Chem Phys 137:22A545
Hammes-Schiffer S, Tully JC (1994) J Chem Phys 101:4657
Mitrić R, Werner U, Bonačić-Koutecký V (2008) J Chem Phys 129:164118
Pittner J, Lischka H, Barbatti M (2009) Chem Phys 356:147
Tapavicza E, Tavernelli I, Rothlisberger U (2007) Phys Rev Lett 98:023001
Plasser F, Crespo-Otero R, Pederzoli M, Pittner J, Lischka H, Barbatti M (2014) J Chem Theory Comput 10:1395
Ou Q, Fatehi S, Alguire E, Shao Y, Subotnik JE (2014) J Chem Phys 141:024114
Granucci G, Persico M, Toniolo A (2001) J Chem Phys 114:10608
Plasser F, Granucci G, Pittner J, Barbatti M, Persico M, Lischka H (2012) J Chem Phys 137:22A514
Wang L, Prezhdo OV (2014) J Phys Chem Lett 5:713
Schwartz BJ, Bittner ER, Prezhdo OV, Rossky PJ (1996) J Chem Phys 104:5942
Zhu CY, Nangia S, Jasper AW, Truhlar DG (2004) J Chem Phys 121:7658
Akimov AV, Long R, Prezhdo OV (2014) J Chem Phys 140:194107
Granucci G, Persico M (2007) J Chem Phys 126:134114
Granucci G, Persico M, Zoccante A (2010) J Chem Phys 133:134111
Bajo JJ, González-Vázquez J, Sola IR, Santamaria J, Richter M, Marquetand P, González L (2011) J Phys Chem A 116:2800
Granucci G, Persico M, Spighi G (2012) J Chem Phys 137:22A501
Jones GA, Acocella A, Zerbetto F (2008) J Phys Chem A 112:9650
Mitric R, Petersen J, Bonacic-Koutecky V (2009) Phys Rev A 79:053416
Tavernelli I, Curchod BFE, Rothlisberger U (2010) Phys Rev A 81:052508
Fischer M, Handt J, Schmidt R (2014) Phys Rev A 90:012527
Baer R (2002) Chem Phys Lett 364:75
Lopata K, Govind N (2011) J Chem Theory Comput 7:1344
Dobson JF, Bunner MJ, Gross EKU (1997) Phys Rev Lett 79:1905
Casida M (1995) In: Chong D (ed) Recent advances in density functional methods, part I. World Scientific, Singapore, p 155
Dreuw A, Head-Gordon M (2005) Chem Rev 105:4009
Elstner M, Porezag D, Jungnickel G, Elsner J, Haugk M, Frauenheim T, Suhai S, Seifert G (1998) Phys Rev B 58:7260
Niehaus TA, Suhai S, Della Sala F, Lugli P, Elstner M, Seifert G, Frauenheim T (2001) Phys Rev B 63:085108
Gonze X, Scheffler M (1999) Phys Rev Lett 82:4416
Görling A (1996) Phys Rev A 54:3912
Maitra NT (2006) J Chem Phys 125:014110
Akimov AV, Prezhdo OV (2013) J Chem Theory Comput 9:4959
Fischer M, Handt J, Schmidt R (2014) Phys Rev A 90:012525
Gao X, Peng Q, Niu Y, Wang D, Shuai Z (2012) Phys Chem Chem Phys 14:14207
Shenvi N, Roy S, Tully JC (2009) J Chem Phys 130:174107
Frank I, Hutter J, Marx D, Parrinello M (1998) J Chem Phys 108:4060
Doltsinis NL, Markwick PRL, Nieber H, Langer H (2008) In: Shukla MK, Leszczynski J (eds) Radiation induced molecular phenomena in nucleic acids. Springer, The Netherlands, p 265
Röhrig UF, Guidoni L, Laio A, Frank I, Rothlisberger U (2004) J Am Chem Soc 126:15328
Doltsinis NL, Marx D (2002) Phys Rev Lett 88:166402
Filatov M, Shaik S (1998) Chem Phys Lett 288:689
Okazaki I, Sato F, Yoshihiro T, Ueno T, Kashiwagi H (1998) J Mol Struct (THEOCHEM) 451:109
Gräfenstein J, Kraka E, Cremer D (1998) Chem Phys Lett 288:593
Furche F, Ahlrichs R (2002) J Chem Phys 117:7433
Chernyak V, Mukamel S (2000) J Chem Phys 112:3572
Hu C, Hirai H, Sugino O (2007) J Chem Phys 127:064103
Hu C, Sugino O, Tateyama Y (2009) J Chem Phys 131:114101
Hu C, Sugino O, Watanabe K (2014) J Chem Phys 140:054106
Send R, Furche F (2010) J Chem Phys 132:044107
Ahlrichs R, Bär M, Häser M, Horn H, Kölmel C (1989) Chem Phys Lett 162:165
Tavernelli I, Tapavicza E, Rothlisberger U (2009) J Mol Struct (THEOCHEM) 914:22
Barbatti M, Pittner J, Pederzoli M, Werner U, Mitrić R, Bonačić-Koutecký V, Lischka H (2010) Chem Phys 375:26
Werner U, Mitrić R, Suzuki T, Bonačić-Koutecký V (2008) Chem Phys 349:319
Tavernelli I, Tapavicza E, Rothlisberger U (2009) J Chem Phys 130:124107
Tavernelli I, Curchod BFE, Laktionov A, Rothlisberger U (2010) J Chem Phys 133:194104
Tavernelli I, Curchod BFE, Rothlisberger U (2009) J Chem Phys 131:196101
Franco de Carvalho F, Curchod BFE, Penfold TJ, Tavernelli I (2014) J Chem Phys 140:144103
Marian CM (2012) Wiley Interdiscip Rev Comput Mol Sci 2:187
Chiodo S, Russo N (2008) J Comput Chem 29:912
Chiodo SG, Russo N (2010) Chem Phys Lett 490:90
Humeniuk A, Wohlgemuth M, Suzuki T, Mitrić R (2013) J Chem Phys 139:134104
Billeter SR, Curioni A (2005) J Chem Phys 122:034105
Filatov M (2015) Top Curr Chem (in press)
Hohenberg P, Kohn W (1964) Phys Rev 136:B864
Gross EKU, Oliveira LN, Kohn W (1988) Phys Rev A 37:2805
Katriel J, Zahariev F, Burke K (2001) Int J Quantum Chem 85:432
Cremer D (2001) Mol Phys 99:1899
Huix-Rotllant M, Nikiforov A, Thiel W, Filatov M (2015) Top Curr Chem (in press)
Becke AD (2014) J Chem Phys 140:18A301
Cremer D (2013) WIREs Comput Mol Sci 3:482
Filatov M, Shaik S (1999) Chem Phys Lett 304:429
Gross EKU, Oliveira LN, Kohn W (1988) Phys Rev A 37:2809
Filatov M (2015) WIREs Comput Mol Sci 5:146
Grimme S, Waletzke M (1999) J Chem Phys 111:5645
Beck EV, Stahlberg EA, Burggraf LW, Blaudeau J-P (2008) Chem Phys 349:158
Kurzweil Y, Lawler KV, Head-Gordon M (2009) Mol Phys 107:2103
Sharkas K, Savin A, Jensen HJA, Toulouse J (2012) J Chem Phys 137:044104
Fromager E, Knecht S, Jensen HJA (2013) J Chem Phys 138:084101
Gräfenstein J, Kraka E, Filatov M, Cremer D (2002) Int J Mol Sci 3:360
Weigend F, Ahlrichs R (2005) Phys Chem Chem Phys 7:3297
Hehre WJ, Ditchfield R, Pople JA (1972) J Chem Phys 56:2257
Iikura H, Tsuneda T, Yanai T, Hirao K (2001) J Chem Phys 115:3540
Becke AD (1988) Phys Rev A 38:3098
Lee C, Yang W, Parr RG (1988) Phys Rev B 37:785
Minami T, Nakano M, Castet F (2011) J Phys Chem Lett 2:1725
Zheng G, Witek HA, Bobadova-Parvanova P, Irle S, Musaev DG, Prabhakar R, Morokuma K, Lundberg M, Elstner M, Köhler C, Frauenheim T (2007) J Chem Theory Comput 3:1349
Barbatti M, Paier J, Lischka H (2004) J Chem Phys 121:11614
Dunning TH (1989) J Chem Phys 90:1007
Sellner B, Barbatti M, Müller T, Domcke W, Lischka H (2013) Mol Phys 111:2439
Mori T, Glover WJ, Schuurman MS, Martinez TJ (2012) J Phys Chem A 116:2808
Kosma K, Trushin SA, Fuss W, Schmid WE (2008) J Phys Chem A 112:7514
Levine BG, Ko C, Quenneville J, Martínez TJ (2006) Mol Phys 104:1039
Becke AD (1993) J Chem Phys 98:5648
Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98:11623
Tapavicza E, Tavernelli I, Rothlisberger U, Filippi C, Casida ME (2008) J Chem Phys 129:124108
Hättig C (2005) Adv Quantum Chem 50:37
Schirmer J (1982) Phys Rev A 26:2395
Gozem S, Melaccio F, Valentini A, Filatov M, Huix-Rotllant M, Ferré N, Frutos LM, Angeli C, Krylov AI, Granovsky AA, Lindh R, Olivucci M (2014) J Chem Theory Comput 10:3074
Crespo-Otero R, Mardykov A, Sanchez-Garcia E, Sander W, Barbatti M (2014) Phys Chem Chem Phys 16:18877
Barbatti M (2014) J Am Chem Soc 136:10246
Tuna D, Došlić N, Mališ M, Sobolewski AL, Domcke W (2014) J Phys Chem B 119:2112
Barbatti M, Granucci G, Ruckenbauer M, Plasser F, Crespo-Otero R, Pittner J, Persico M, Lischka H (2013) NEWTON-X: a package for Newtonian dynamics close to the crossing seam: www.newtonx.org
Barbatti M, Ruckenbauer M, Plasser F, Pittner J, Granucci G, Persico M, Lischka H (2014) WIREs Comput Mol Sci 4:26
Akimov AV, Prezhdo OV (2014) J Chem Theory Comput 10:789
Mitrić R, Werner U, Wohlgemuth M, Seifert G, Bonačić-Koutecký V (2009) J Phys Chem A 113:12700
Craig CF, Duncan WR, Prezhdo OV (2005) Phys Rev Lett 95:163001
Fischer M, Handt J, Schmidt R (2014) Phys Rev A 90:012526
Shenvi N, Tully JC (2012) Faraday Discuss 157:325
Doltsinis NL (2002) In: Grotendorst J, Marx D, Muramatsu A (eds) Quantum simulations of complex many-body systems: from theory to algorithms. John von Neumann Institute for Computing, Julich
Tully JC (1998) Faraday Discuss 110:407
Castro A, Appel H, Oliveira M, Rozzi CA, Andrade X, Lorenzen F, Marques MAL, Gross EKU, Rubio A (2006) Phys Status Solidi B 243:2465
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G, Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP, Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA Jr, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam NJ, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas Ö, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2013) Gaussian 09, revision D.01. Gaussian, Inc., Wallingford
Lischka H, Müller T, Szalay PG, Shavitt I, Pitzer RM, Shepard R (2011) WIREs Comput Mol Sci 1:191
Lischka H, Shepard R, Shavitt I, Pitzer RM, Dallos M, Müller T, Szalay PG, Brown FB, Ahlrichs R, Böhm HJ, Chang A, Comeau DC, Gdanitz R, Dachsel H, Ehrhardt C, Ernzerhof M, Höchtl P, Irle S, Kedziora G, Kovar T, Parasuk V, Pepper MJM, Scharf P, Schiffer H, Schindler M, Schüler M, Seth M, Stahlberg EA, Zhao J-G, Yabushita S, Zhang Z, Barbatti M, Matsika S, Schuurmann M, Yarkony DR, Brozell SR, Beck EV, Blaudeau J-P, Ruckenbauer M, Sellner B, Plasser F, Szymczak JJ (2012) COLUMBUS, an ab initio electronic structure program, release 7.0: www.univie.ac.at/columbus
Gordon MS, Schmidt MW (2005) In: Dykstra CE, Frenking G, Kim KS, Scuseria GE (eds) Theory and applications of computational chemistry the first forty years. Elsevier, Amsterdam, p 1167
Crespo-Otero R, Barbatti M, Yu H, Evans NL, Ullrich S (2011) ChemPhysChem 12:3365
Tomasello G, Humeniuk A, Mitrić R (2014) J Phys Chem A 118:8437
Klaumunzer B, Kroner D, Lischka H, Saalfrank P (2012) Phys Chem Chem Phys 14:8693
Frank I, Damianos K (2007) J Chem Phys 126:125105
Barbatti M, Lan Z, Crespo-Otero R, Szymczak JJ, Lischka H, Thiel W (2012) J Chem Phys 137:22A503
Fischer SA, Habenicht BF, Madrid AB, Duncan WR, Prezhdo OV (2011) J Chem Phys 134:024102
Rodrigues GP, Ventura E, do Monte SA, Barbatti M (2014) J Phys Chem A 118:12041
Langer H, Doltsinis NL (2004) Phys Chem Chem Phys 6:2742
Langer H, Doltsinis NL, Marx D (2005) ChemPhysChem 6:1734
Nieber H, Doltsinis NL (2008) Chem Phys 347:405
Markwick PRL, Doltsinis NL, Schlitter J (2007) J Chem Phys 126:045104
Wohlgemuth M, Bonačić-Koutecký V, Mitrić R (2011) J Chem Phys 135:054105
Mercier SR, Boyarkin OV, Kamariotis A, Guglielmi M, Tavernelli I, Cascella M, Rothlisberger U, Rizzo TR (2006) J Am Chem Soc 128:16938
Hu W, Lendvay G, Maiti B, Schatz GC (2008) J Phys Chem A 112:2093
Mališ M, Loquais Y, Gloaguen E, Biswal HS, Piuzzi F, Tardivel B, Brenner V, Broquier M, Jouvet C, Mons M, Došlić N, Ljubić I (2012) J Am Chem Soc 134:20340
Guglielmi M, Tavernelli I, Rothlisberger U (2009) Phys Chem Chem Phys 11:4549
Habenicht BF, Prezhdo OV (2008) Phys Rev Lett 100:197402
Long R, Prezhdo OV (2014) Nano Lett 14:3335
Habenicht BF, Prezhdo OV (2009) J Phys Chem C 113:14067
Böckmann M, Doltsinis NL, Marx D (2010) Angew Chem 122:3454
Bockmann M, Doltsinis NL, Marx D (2010) J Phys Chem A 114:745
Neukirch AJ, Shamberger LC, Abad E, Haycock BJ, Wang H, Ortega J, Prezhdo OV, Lewis JP (2013) J Chem Theory Comput 10:14
Akimov AV, Prezhdo OV (2014) J Am Chem Soc 136:1599
Crespo-Otero R, Barbatti M (2011) J Chem Phys 134:164305
Garavelli M (2006) Theor Chem Acc 116:87
Tavernelli I, Curchod BFE, Rothlisberger U (2011) Chem Phys 391:101
Jasper AW, Zhu CY, Nangia S, Truhlar DG (2004) Faraday Discuss 127:1
Casida M, Natarajan B, Deutsch T (2012) In: Marques MAL, Maitra NT, Nogueira FMS, Gross EKU, Rubio A (eds) Fundamentals of time-dependent density functional theory. Springer, Berlin/Heidelberg, p 279
Akimov AV, Muckerman JT, Prezhdo OV (2013) J Am Chem Soc 135:8682
Casida ME, Huix-Rotllant M (2012) Annu Rev Phys Chem 63:287
Barbatti M, Aquino AJA, Lischka H (2006) Mol Phys 104:1053
Vazdar M, Eckert-Maksic M, Barbatti M, Lischka H (2009) Mol Phys 107:845
Weingart O, Lan Z, Koslowski A, Thiel W (2011) J Phys Chem Lett 2:1506
Pederzoli M, Pittner J, Barbatti M, Lischka H (2011) J Phys Chem A 115:11136
Carstensen O, Sielk J, Schonborn JB, Granucci G, Hartke B (2010) J Chem Phys 133:124305
Ootani Y, Satoh K, Nakayama A, Noro T, Taketsugu T (2009) J Chem Phys 131:194306
Gao A-H, Li B, Zhang P-Y, Liu J (2014) Comput Theor Chem 1031:13
Sobolewski AL, Domcke WG (2007) J Phys Chem A 111:11725
Evans NL, Ullrich S (2010) J Phys Chem A 114:11225
Mishra A, Bäuerle P (2012) Angew Chem Int Ed 51:2020
Ameri T, Khoram P, Min J, Brabec CJ (2013) Adv Mater 25:4245
Grancini G, Polli D, Fazzi D, Cabanillas-Gonzalez J, Cerullo G, Lanzani G (2011) J Phys Chem Lett 2:1099
Veera S, Nismy NA, Adikaari AADT, Simon JH, Maxim S, Silva SRP (2011) Nanotechnology 22:265607
Sen K, Crespo-Otero R, Weingart O, Thiel W, Barbatti M (2013) J Chem Theory Comput 9:533
Acknowledgments
We would like to thank Dr. Michael Filatov for kindly providing the REKS data for Fig. 3 and also Dr. W. Arbelo-González, Dr. Fazzi, Dr. G. Rodrigues, and Dr. T. Very for helpful discussions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Barbatti, M., Crespo-Otero, R. (2014). Surface Hopping Dynamics with DFT Excited States. In: Ferré, N., Filatov, M., Huix-Rotllant, M. (eds) Density-Functional Methods for Excited States. Topics in Current Chemistry, vol 368. Springer, Cham. https://doi.org/10.1007/128_2014_605
Download citation
DOI: https://doi.org/10.1007/128_2014_605
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-22080-2
Online ISBN: 978-3-319-22081-9
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)