SALMON (Scalable Ab-initio Light-Matter simulator for Optics and Nanoscience)

Publications using SALMON

Published papers that use SALMON will be useful to know what SALMON can do. We list papers that use SALMON and its former programs including GCEED developed in Institute of Molecular Science and ARTED developed in University of Tsukuba. If you publish a paper using SALMON and the paper does not appear here, please let us know of it.

Contents

1. 2020
2. 2019
3. 2018
4. 2017
5. 2016
6. 2015
7. 2014
8. 2013
9. 2012
10. 2011
11. 2010
12. 2009
13. 2008
14. 2007
15. 2005
16. 2004
17. 2003
18. 2002
19. 2001
20. 2000
21. 1999
22. 1997
23. 1996

2020

2019

• [Molecule, solid][C2H2, Si][Code paper]
  M. Noda, S.A. Sato, Y. Hirokawa, M. Uemoto, T. Takeuchi, S. Yamada, A. Yamada, Y Shinohara, M. Yamaguchi, K. Iida, I. Floss, T. Otobe, K.-M. Lee, K. Ishimura, T. Boku, G.F. Bertsch, K. Nobusada, K. Yabana
  SALMON: Scalable Ab-initio Light–Matter simulator for Optics and Nanoscience
  Computer Physics Communications. Volume 235, 356 (2019).
  https://doi.org/10.1016/j.cpc.2018.09.018
• [Solid][SiO2, Si][Nonlinear excitation]
  A. Yamada, K. Yabana
  Energy transfer from intense laser pulse to dielectrics in time-dependent density functional theory
  Europ. Phys. J. D. 73_87 (2019). 
  doi.org/10.1140/epjd/e2019-90334-7
• [Multiscale][Ehrenfest MD][Diamond][Coherent Phonon]
  A. Yamada and K. Yabana
  Multiscale time-dependent density functional theory for a unified description of ultrafast dynamics: Pulsed light, electron, and lattice motions in crystalline solids
  Phys. Rev. B 99, 245103 (2019).
  DOI:10.1103/PhysRevB.99.245103
• [Metasurface][Jellium model] 
  T. Takeuchi, M. Noda, and K. Yabana
  Operation of quantum plasmonic metasurfaces using Electron Transport through Subnanometer Gaps
  ACS Photonics 6, 2517 (2019).
  DOI:10.1021/acsphotonics.9b00889
• [Solid][Diamond][Decoherence] 
  Isabella Floss, Christoph Lemell, Kazuhiro Yabana and Joachim Burgdörfer
  Incorporating decoherence into solid-state time-dependent density functional theory
  Phys. Rev. B 99, 224301 (2019). 
  DOI: 10.1103/PhysRevB.99.224301
• [Near field][Silicon][Thin film] 
  M. Noda, K. Iida, M. Yamaguchi, T. Yatsui, K. Nobusada
  Direct wave vector excitation in an indirect band gap semiconductor of silicon with an optical near-field
  Phys. Rev. Applied 11, 044053 (2019).
  DOI:10.1103/PhysRevApplied.11.044053
• [Solid][SiO2][Nonlinear excitation]
  T. Otobe, Y. Shinohara, S.A. Sato, K. Yabana
  Theory for Electron Excitation in Dielectrics under an Intense Linear and Circularly Polarized Laser Fields
  J. Phys. Soc. Jpn. 88, 024706 (2019).
  https://doi.org/10.7566/JPSJ.88.024706
• [Solid][Si thin film][Maxwell-TDDFT single-scale]
  S. Yamada, M. Noda, K. Nobusada and K. Yabana
  Time-dependent density functional theory for interaction of ultrashort light pulse with thin materials
  Phys. Rev. B 98, 245147 (2018).
  https://doi.org/10.1103/PhysRevB.98.245147

2018

• [Solid][GaAs][Attosecond]
  F. Schlaepfer, M. Lucchini, S.A. Sato, M. Volkov,
  L. Kasmi, N. Hartmann, A. Rubio, L. Gallmann, and U. Keller
  Attosecond optical-field-enhanced carrier injection into the GaAs conduction band
  Nature Physics 14, 560  (2018)
  https://doi.org/10.1038/s41567-018-0069-0
• [Solid][SiO2][Photocarrier generation]
  S.A. Sato, M. Lucchini, M. Volkov, F. Schlaepfer, L. Gallmann, U. Keller, A. Rubio
  Role of intra-band transitions in photo-carrier generation
  Phys. Rev. B 98, 035202 (2018)
  https://doi.org/10.1038/s41567-018-0069-0
• [Solid] [Linear Response, Nonlinear Optics]
  C.D. Pemmaraju, F.D. Vila, J.J. Kas, S.A. Sato, J. Rehr, K. Yabana and D. Prendergast
  Velocity-gauge real-time TDDFT within a numerical atomic orbital basis set
  Comp. Phys. Comm. 226, 30 (2018)
  https://doi.org/10.1016/j.cpc.2018.01.013
• [HPC] [Performance Evaluation]
  Y. Hirokawa, T. Boku, S.A. Sato and K. Yabana
  Performance Evaluation of Large Scale Electron Dynamics Simulation under Many-core Cluster based on Knights Landing
  The 1st International Conference on HPC Asia2018 (2018)
  https://doi.org/10.1145/3149457.3149465
  

2017

• [Nanostructure] [Acetylene/IRMOF-10] [Optical near field]
  M. Noda, M. Yamaguchi and K. Nobusada,
  Second Harmonic Excitation of Acetylene by the Optical Near Field Generated in a Porous Material
  J. Phys. Chem. C 121, 11687 (2017)
  https://doi.org/10.1021/acs.jpcc.7b02744

• [Interface] [SiO2–graphene–boron nitride] [Bias Voltage]
  K. Iida, M. Noda and K. Nobusada,
  Development of Theoretical Approach for Describing Electronic Properties of Hetero-Interface Systems under Applied Bias Voltage
  J. Chem. Phys. 146, 084706 (2017)
  https://doi.org/10.1063/1.4976970
• I. Floss, C. Lemell, G. Wachter, V. Smejkal, S.A. Sato, X.M. Tong, K. Yabana, and J. Burgdörfer
  Ab initio multiscale simulation of high-order harmonic generation in solids
  Phys. Rev. A 97, 011401(R):1-5 (2018)
  DOI: 10.1103/PhysRevA.97.011401
• T. Yatsui, H. Saito, K. Nishioka, B. Leuschel, O. Soppera, K. Nobusada
  Effects of a power and photon energy of incident light on near-field etching properties
  Appl. Phys. A (2017) 123:751
  doi.org/10.1007/s00339-017-1361-z
• T. Yatsui, M. Yamaguchi, K. Nobusada
  Nano-scale chemical reactions based on non-uniform optical near-fields and their applications
  PROGRESS IN QUANTUM ELECTRONICS 55, 166 (2017)
• K. Iida, K. Nobusada
  Atomically modified thin interface in metal-dielectric hetero-integrated systems: control of electronic properties
  JOURNAL OF PHYSICS-CONDENSED MATTER 29,145503 (2017)
  http://iopscience.iop.org/article/10.1088/1361-648X/aa5e81

2016

• [Solid][Diamond][Attosecond]
  M. Lucchini, S.A. Sato, A. Ludwig, J. Herrmann, M. Volkov, L. Kasmi, Y. Shinohara, K. Yabana, L. Gallmann, U. Keller
  Attosecond dynamical Franz-Keldysh effect in polycrystalline diamond
  Science 353, 916-919 (2016).
  https://doi.org/10.1126/science.aag1268

• [Solid][SiO2][Attosecond]
  A. Sommer, E.M. Bothschafter, S.A. Sato, C. Jakubeit, T. Latka, O. Razskazovskaya, H. Fattahi, M. Jobst, W. Schweinberger, V. Shirvanyan, V.S. Yakovlev, R. Kienberger, K. Yabana, N. Karpowicz, M. Schultze, F. Krausz
  Attosecond nonlinear polarization and light-matter energy transfer in solids
  Nature 534, 86-90 (2016).
  https://doi.org/10.1038/nature17650

• [Molecule] [Para-Dinitrobenzene, Paranitroaniline] [Optical Near Field]
  M. Yamaguchi and K. Nobusada,
  Large Hyperpolarizabilities of the Second Harmonic Generation Induced by Nonuniform Optical Near Fields
  J. Phys. Chem. C 120, 23748 (2016)
  https://doi.org/10.1021/acs.jpcc.6b08507

• [Interface] [Silicene–amine] [Electric Field Bias]
  K. Iida and K. Nobusada
  Electric field effects on the electronic properties of the silicene-amine interface
  Phys. Chem. Chem. Phys. 18, 15639 (2016)
  https://doi.org/10.1039/c6cp02157c

• [Cluster] [Au133(SPhtBu)52] [Linear Response]
  K. Iida, M. Noda and K. Nobusada
  Interface Electronic Properties Between a Gold Core and Thiolate Ligands: Effects on an Optical Absorption Spectrum in Au133(SPh-tBu)52
  J. Phys. Chem. C 120, 2753 (2016)
  https://doi.org/10.1021/acs.jpcc.5b10846

2015

• [Solid][Diamond][Nonlinear Optics]
  T. Otobe, Y. Shinohara, S.A. Sato, K. Yabana
  Femtosecond time-resolved dynamical Franz-Keldysh effect
  Phys. Rev. B93, 045124 (2016).
  arXiv:1504.01458
  https://doi.org/10.1103/PhysRevB.93.045124

• [Solid][SiO2][Optical Current]
  G. Wachter, S.A. Sato, C. Lemell, X.M. Tong, K. Yabana, J. Burgdoerfer
  Controlling ultrafast currents by the non-linear photogalvanic effect
  New J. Phys. 17, 123026 (2015).
  arXiv:1503.06146
  https://doi.org/10.1088/1367-2630/17/12/123026

• [Molecule][Endohedral Fullerene][Attosecond]
  G. Wachter, S. Nagele, S.A. Sato, R. Pazourek, M. Wais, C. Lemell, X.-M. Tong, K. Yabana, J. Burgdoerfer
  Protocol for observing molecular dipole excitations by attosecond self-streaking
  Phys. Rev. A92, 061403(R)
  arXiv:1505.05857 )
  https://doi.org/10.1103/PhysRevA.92.061403

• [Solid][Silicon, Germanium][Linear Response, Nonlinear Optics]
  S.A. Sato, Y. Taniguchi, Y. Shinohara, K. Yabana
  Nonlinear electronic excitations in crystalline solids using meta-generalized gradient approximation and hybrid functional in time-dependent density functional theory
  J. Chem. Phys. 143, 224116 (2015)
  arXiv:1507.05156
  https://doi.org/10.1063/1.4937379

• [Solid][SiO2][Laser Damage]
  S.A. Sato, K. Yabana, Y. Shinohara, T. Otobe, K.M. Lee, G.F. Bertsch
  Time-dependent density functional theory of high-intensity, short-pulse laser irradiation on insulators
  Phys. Rev. B92 205413 (6 pages) (2015).
  arXiv: 1412.1445
  https://doi.org/10.1103/PhysRevB.92.205413

• [Interface] [Ag Cluster/Dielectric Surface] [Electronic Structure, Linear Response]
  K. Iida, M. Noda and K. Nobusada
  Control of Optical Response of a Supported Cluster on Different Dielectric Substrates
  J. Chem. Phys. 142 214702 (2015)
  https://doi.org/10.1063/1.4921840

2014

• [Solid][Silicon][Attosecond]
  M. Schultze, K. Ramasesha, C.D. Pemmaraju, S.A. Sato, D. Whitmore, A. Gandman, J.S. Prell, L.J. Borja, D. Prendergast, K. Yabana, D.M. Neumark, S.R. Leone
  Attosecond band-gap dynamics in silicon
  Science 346(6215), 1348-1352 (2014).
  https://doi.org/10.1126/science.1260311

• [Solid][Silicon][Nonlinear Optics]
  S.A. Sato, Y. Shinohara, T. Otobe, K. Yabana
  Dielectric response of laser-excited silicon at finite electron temperature
  Phys. Rev. B.90(17), 174303 (8 pages) (2014).
  https://doi.org/10.1103/PhysRevB.90.174303

• [Algorithm]
  S.A. Sato, K. Yabana
  Maxwell+TDDFT multi-scale simulation for laser-matter interactions
  J. Adv. Simulat. Sci. Eng. 1(1), 98-110 (2014).
  https://doi.org/10.15748/jasse.1.98

• [Solid][SiO2][Optical Current]
  G. Wachter, C. Lemell, J. Burgdoerfer, S.A. Sato, X.-M. Tong, K. Yabana
  Ab Initio Simulation of Electrical Currents Induced by Ultrafast Laser Excitation of Dielectric Materials
  Phys. Rev. Lett. 113(8), 087401 (5 pages) (2014).
  arXiv:1401.4357
  https://doi.org/10.1103/PhysRevLett.113.087401

• [Solid][SiO2][Nonlinear Optics]
  S.A. Sato, K. Yabana
  Efficient basis expansion for describing linear and nonlinear electron dynamics in crystalline solids
  Phys. Rev. B 89(22), 224305 (11 pages) (2014).
  https://doi.org/10.1103/PhysRevB.89.224305

• [Cluster] [Aun (n = 54, 146, 308, 560, 922, 1414)] [Plasmon]
  K. Iida, M. Noda, K. Ishimura and K. Nobusada
  First-Principles Computational Visualization of Localized Surface Plasmon Resonance in Gold Nanoclusters
  J. Phys. Chem. A 118, 11317 (2014)
  https://doi.org/10.1021/jp5088042

• [Interface] [4-mercaptopyridine/Ag Electrode] [Raman]
  K. Iida, M. Noda and K. Nobusada
  Theoretical Approach for Optical Response in Electrochemical Systems: Application to Electrode Potential Dependence of Surface-Enhanced-Raman Scattering
  J. Chem. Phys. 141, 124124 (2014)
  https://doi.org/10.1063/1.4896537

• [Algorithm] [Nanostructure] [C60 Array]
  M. Noda, K. Ishimura, K. Nobusada, K. Yabana and T. Boku
  Massively-Parallel Electron Dynamics Calculations in Real-time and Real-Space: Toward Applications to Nanostructures of more than Ten-Nanometers in Size
  J. Comp. Phys. 265, 145 (2014)
  https://doi.org/10.1016/j.jcp.2014.02.006

2013

• [Solid][Silicon][Nonlinear Optics]
  S.A. Sato, K. Yabana, Y. Shinohara, T. Otobe, G.F. Bertsch
  Numerical pump-probe experiments of laser-excited silicon in nonequilibrium phase
  Phys. Rev. B 89(6), 064304 (8 pages) (2014).
  arXiv:1303.3249
  https://doi.org/10.1103/PhysRevB.89.064304

• [Solid][SiO2][Laser Damage]
  K.-M. Lee, C.M. Kim, S.A. Sato, T. Otobe, Y. Shinohara, K. Yabana, T.M. Jeong
  First-principles simulation of the optical response of bulk and thin-film α-quartz irradiated with an ultrashort intense laser pulse
  J. Appl. Phys. 115(5), 053519 (8 pages) (2014).
  https://doi.org/10.1063/1.4864662

2012

• [Solid][Sb][Coherent Phonon]
  Y. Shinohara, S.A. Sato, K. Yabana, J.-I. Iwata, T. Otobe, G.F. Bertsch
  Nonadiabatic generation of coherent phonons
  J. Chem. Phys. 137(22), 22A527 (8 pages) (2012).
  https://doi.org/10.1063/1.4739844

• [Molecule] [Pyrazine/Na4] [Raman]
  M. Noda, T. Yasuike, K. Nobusada and M. Hayashi
  Enhanced Raman spectrum of pyrazine with the aid of resonant electron dynamics in a nearby cluster
  Chem. Phys. Lett. 550, 52 (2012)
  https://doi.org/10.1016/j.cplett.2012.08.059

2011

• [Solid][Silicon][Nonlinear Optics]
  K. Yabana, T. Sugiyama, Y. Shinohara, T. Otobe, G.F. Bertsch
  Time-dependent density functional theory for strong electromagnetic fields in crystalline solids
  Phys. Rev. B85(4), 045134 (11 pages) (2012).
  https://doi.org/10.1103/PhysRevB.85.045134

• [Molecule][Inorganic][MCD]
  K.-M. Lee, K. Yabana, G.F. Bertsch
  Magnetic circular dichroism in real-time time-dependent density functional theory
  J. Chem. Phys. 134(14), 144106 (9 pages) (2011).
  https://doi.org/10.1063/1.3575587

• [Surface] [Cs/Cu(111)] [Linear Response]
  T. Yasuike and K. Nobusada
  Open-boundary cluster model implemented in first-principles calculations for electronic excited states of an adsorbate-surface system
  Phys. Rev. B 84, 245408 (2011)
  https://doi.org/10.1103/PhysRevB.84.245408
• [Molecule][Linear Response]
  K. Yabana, Y. Kawashita, T. Nakatsukasa, J.-I. Iwata
  Time-Dependent Density-Functional Theory for Oscillator Strength Distribution Charged Particle and Photon Interactions with Matter
  Recent Advances, Applications, and Interfaces, pp.65-86
  Eds. Y. Hatano, Y. Katsumura, A. Mozumder, CRC Press, Taylor & Francis Group (2011)

2010

• [Molecule] [C60] [Optical Near Field]
  T. Iwasa and K. Nobusada
  Near-field-induced optical force on a metal particle and C60: Real-time and real-space electron dynamics simulation
  Phys. Rev. A 82, 043411 (2010)
  https://doi.org/10.1103/PhysRevA.82.043411
• [Solid][Coherent Phonon]
  Y. Shinohara, K. Yabana, Y. Kawashita, J.-I. Iwata, T. Otobe, G.F. Bertsch
  Coherent phonon generation in time-dependent density functional theory
  Phys. Rev. B82 (2010) 155110
• [Solid][Coherent Phonon]
  Y. Shinohara, Y. Kawashita, J.-I. Iwata, K. Yabana, T. Otobe, G.F. Bertsch
  First-principles description for coherent phonon generation in diamond
  J. Phys. Cond. Matter 22 (2010) 384212
  http://iopscience.iop.org/article/10.1088/0953-8984/22/38/384212/pdf

2009

• [Molecule] [NC6N] [Optical Near Field]
  T. Iwasa and K. Nobusada
  Nonuniform light-matter interaction theory for near-field-induced electron dynamics
  Phys. Rev. A 80 043409 (2009)
  https://doi.org/10.1103/PhysRevA.80.043409
• [Molecule] [C60] [Linear Response]
  Y. Kawashita, K. Yabana, M. Noda, K. Nobusada and T. Nakatsukasa
  Oscillator Strength Distribution of C60 in the Time-Dependent Density Functional Theory
  J. Mol. Struct.: Theochem 914, 130 (2009)
  https://doi.org/10.1016/j.theochem.2009.04.022
• [Molecule][Fullerene][Nonlinear Optics]
  J-.I. Iwata, K. Yabana
  Real-space and real-time method for linear and nonlinear optical properties of fullerene-based materials
  AIP Conf. Proc. 1148 (2009) 706
  https://aip.scitation.org/doi/abs/10.1063/1.3225411
• [Molecule][Nonlinear Optics][Coulomb Explosion]
  Y. Kawashita, T. Nakatsukasa, K. Yabana
  Time-dependent density-functional theory simulation for electron-ion dynamics in molecules under intense laser pulses
  J. Phys. Cond. Matter 21 (2009) 064222 
  http://iopscience.iop.org/article/10.1088/0953-8984/21/6/064222/pdf
• [Solid][SiO2][Nonlinear Optics]
  T. Otobe, K. Yabana, J.-I. Iwata
  First-principles calculation of the electron dynamics in crystalline SiO_2
  J. Phys. Cond. Matter 21 (2009) 064224
  http://iopscience.iop.org/article/10.1088/0953-8984/21/6/064224/pdf
• [Solid][Diamond][Nonlinear Optics][HHG]
  T. Otobe, K. Yabana, J.-I. Iwata
  First principle calculation for high harmonic generation in diamond
  J. Comp. Theor. Nanoscience 6 (2009) 2545-2549

2008

• [Solid][Nonlinear Optics][Optical Breakdown]
  T. Otobe, M. Yamagiwa, J.-I. Iwata, K. Yabana, T. Nakatsukasa, G.F. Bertsch
  First-principles electron dynamics simulation for optical breakdown of dielectrics under an intense laser field
  Phys. Rev. B77 (2008) 165104

2007

• [Molecule] [Na10, Benzene] [Photocurrent]
  K. Nobusada and K. Yabana
  Photoinduced electric currents in ring-shaped molecules by circularly polarized laser pulses
  Phys. Rev. A 75, 032518 (2007)
  https://doi.org/10.1103/PhysRevA.75.032518

2006

• [Molecule][Linear Response]
  G.F. Bertsch, K. Yabana
  Density functional theory
  Introduction to Computational Methods in Many Body Physics, pp.123-169
  Eds. M. Bonitz and D. Semkat, Rinton press Inc. (2006)
• [Molecule][Nonlinear Optics]
  K. Yabana, T. Otobe, J.-I. Iwata
  First-principles density-functional approach for many-electron dynamics under intense laser fields
  Springer Series in Chemical Physics 84, pp.77-94 (2006).
• [Molecule][Linear Response]
  K. Yabana, T. Nakatsukasa, J.-I. Iwata and G.F. Bertsch
  Real-time, real-space implementation of the linear response time-dependent density-functional theory
  Physica Status Solidi (b) 243 (2006) 1121.
  https://onlinelibrary.wiley.com/doi/epdf/10.1002/pssb.200642005

2005

• [Cluster] [Ag2] [Nonlinear Optics]
  K. Shiratori, K. Nobusada and K. Yabana
  Multiple ionization of a silver diatomic molecule in an intense laser field
  Chem. Phys. Lett. 404, 365 (2005)
  https://doi.org/10.1016/j.cplett.2005.01.124

2004

• [Cluster] [Ag2, Ag8] [Nonlinear Optics]
  K. Nobusada and K. Yabana,
  High-order harmonic generation from silver clusters: Laser-frequency dependence and the screening effect of d electrons
  Phys. Rev. A 70, 043411 (2004)
  https://doi.org/10.1103/PhysRevA.70.043411

2003

• [Molecule][Linear Response]
  T. Nakatsukasa, K. Yabana
  Oscillator strength distribution in C_3H_6 isomers studied with the time-dependent density functional method in the continuum
  Chem. Phys. Lett. 374 (2003) 613-619
  https://www.sciencedirect.com/science/article/pii/S0009261403007784

2002

• [Molecule][Linear Response]
  G.F. Bertsch and K. Yabana
  Density functional theory Introduction to Modern Methods of quantum many-body theory and their applications
  World Scientific, 2002, pp.1-48.
• [Molecule][Electron Vibration Coupling]
  G.F. Bertsch, J. Giansiracusa, K. Yabana
  Application of time-dependent density-functional theory to electron-ion coupling in ethylene
  Israel J. Chem. 42 (2002) 151-156
  https://arxiv.org/abs/physics/0210043

2001

• [Molecule][Linear Response]
  T. Nakatsukasa and K. Yabana
  Photoabsorption spectra in the continuum of molecules and atomic clusters
  J. Chem. Phys. 114 (2001) 2550-2561
• [Molecule][Electron Vibration Coupling]
  G.F. Bertsch, A. Schnell, and K. Yabana
  Electron-vibration coupling in time-dependent density-functional theory: application to Benzene
  J. Chem. Phys 115 (2001) 4051-4054
  https://doi.org/10.1063/1.1390513

2000

• [Solid][Linear Response]
  G.F. Bertsch, J.-I. Iwata, A. Rubio and K. Yabana
  A real-space, real-time method for the dielectric function
  Phys. Rev. B62 (2000) 7998-8002
  https://archive.org/details/arxiv-cond-mat0005512

1999

• [Molecule][Linear Response]
  K. Yabana and G.F. Bertsch
  Application of the time-dependent local-density approximation to conjugated molecules
  Int. J. Quantum Chemistry 75 (1999) 55-66.
  https://arxiv.org/abs/physics/9808015v1
• [Molecule][Linear Response][Optical Activity]
  K. Yabana and G.F. Bertsch
  Application of the time-dependent local density approximation to optical activity
  Phys. Rev. A60 (1999) 1271-1279
  http://www.int.washington.edu/users/bertsch/pra60_1271.pdf
• [Cluster][Ag][Linear Response]
  K. Yabana and G.F. Bertsch
  Optical response of small silver clusters
  Phys. Rev. A60 (1999) 3809-3814
  https://arxiv.org/pdf/physics/9903041v1.pdf

1997

• [Cluster][C][Linear Response]
  K. Yabana and G.F. Bertsch
  Optical response of small carbon clusters
  Z. Phys. D42 (1997) 219-225
  https://arxiv.org/abs/physics/9612001v4

 1996

• [Molecule][Cluster][Linear Response]
  K. Yabana and G.F. Bertsch
  Time-dependent local density approximation in real time
  Phys. Rev. B54 (1996) 4484-4487.