CarParrinello molecular dynamics on excited state surfaces
J. Chem. Phys. 110, 6645 (1999); doi:10.1063/1.478572
Issue Date: 8 April 1999
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This paper describes a method to do ab initio molecular dynamics in electronically excited systems within the random phase approximation (RPA). Using a dynamical variational treatment of the RPA frequency, which corresponds to the electronic excitation energy of the system, we derive coupled equations of motion for the RPA amplitudes, the single particle orbitals, and the nuclear coordinates. These equations scale linearly with basis size and can be implemented with only a single holonomic constraint. Test calculations on a model two level system give exact agreement with analytical results. Furthermore, we examined the computational efficiency of the method by modeling the excited state dynamics of a one-dimensional polyene lattice. Our results indicate that the present method offers a considerable decrease in computational effort over a straight-forward configuration interaction (singles) plus gradient calculation performed at each nuclear configuration. ©1999 American Institute of Physics.
| History: | Received 26 May 1998; accepted 6 January 1999 |
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http://link.aip.org/link/?JCPSA6/110/6645/1 |
KEYWORDS and PACS
excited states,
RPA calculations,
ab initio calculations,
molecular dynamics method,
potential energy surfaces
- 31.50.+w
Electronic structure of atoms, molecules and their ions: theory Excited states - 31.15.Ar
Electronic structure of atoms, molecules and their ions: theory Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations) Ab initio calculations - 31.15.Qg
Electronic structure of atoms, molecules and their ions: theory Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations) Molecular dynamics and other numerical methods - 31.90.+s
Electronic structure of atoms, molecules and their ions: theory Other topics in the theory of the electronic structure of atoms, molecules, and their ions (restricted to new topics in section 31) - YEAR: 1999
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (32)
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- R. Car and M. Parrinello, Phys. Rev. Lett. 55, 2471 (1985).
- R. Car and M. Parrinello, Simple Molecular Systems at Very High Density (Plenum, New York, 1981).
- G. Galli and M. Parrinello, Computer Simulations in Material Science (Kluwer, Dordrecht, 1991).
- P. Hohenberg and W. Kohn,
Phys. Rev. B 136, 864 (1964) . - M. E. Tuckerman and M. Parrinello, J. Chem. Phys. 101, 1302 (1994).
- M. E. Tuckerman and M. Parrinello, J. Chem. Phys. 101, 1316 (1994).
- W. Kohn and L. J. Sham,
Phys. Rev. A 140, 1133 (1965) . - M. Pearson, E. Smatgiasi, and P. Madden,
J. Phys.: Condens. Matter 5, 3221 (1993) . - A. Alavi, J. Kohanoff, M. Parrinello, and D. Frenkel, Phys. Rev. Lett. 73, 2599 (1994).
- P. L. Silvestrelli, A. Alavi, M. Parrinello, and D. Frenkel, Phys. Rev. Lett. 77, 3149 (1996).
- A. Messiah, Quantum Mechanics (Wiley, New York, 1968).
- H. Goldstein, Classical Mechanics (AddisonWesley, Reading, 1980).
- J. W. Negele and H. Orland, Quantum Many-Particle Systems (AddisonWesley, Redwood City, 1988).
- D. J. Rowe, Nuclear Collective Motion (Methuen, London, 1970).
- J. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT Press, Cambridge, MA, 1988).
- A. K. Kerman and S. E. Koonin, Ann. Phys. 100, 332 (1976).
- M. Petersilka, U. L. Grossmann, and E. K. U. Gross, Phys. Rev. Lett. 76, 1212 (1996).
- R. Bauernschmitt and R. Ahlrichs,
Chem. Phys. Lett. 256, 454 (1996) . - K. Yabana and G. F. Bertsch, Preprint LANL physics/9808015.
- D. L. Yeager and V. McKoy, J. Chem. Phys. 63, 4861 (1975).
- A. C. Lasaga and M. Karplus, J. Chem. Phys. 71, 1218 (1979).
- H. Ito, H. Kameshima, and T.-i. Shibuya, J. Chem. Phys. 104, 1309 (1996).
- M. Baldo and R. Pucci, J. Chem. Phys. 67, 4747 (1977).
- J. Olsen and P. Jørgensen, J. Chem. Phys. 82, 3235 (1985).
- P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, New York, 1979).
- J. V. Ortiz, J. Chem. Phys. 101, 6743 (1994).
- H. J. Lipkin, N. Meshkov, and A. J. Glick,
Nucl. Phys. 62, 188 (1965) . - D. S. Kosov and E. R. Bittner (in preparation).
- A. J. Heeger, S. Kivelson, J. R. Schrieffer, and W.-P. Su, Rev. Mod. Phys. 60, 781 (1988).
- L. Verlet,
Phys. Rev. 159, 98 (1967) ; - H. Hellmann, Einführung in die Quantenchemie (Deuticke, Leipzig, 1937).
- R. P. Feynman,
Phys. Rev. 56, 340 (1939) .








