The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Efficient projector expansion for the ab initio LCAO method
Abstract
A projector expansion method is presented for an efficient and accurate implementation of the first-principles electronic structure calculations using pseudopotentials and atomic basis functions. By expressing the rapidly varying local potential in the vicinity of nuclei by a separable projector expansion, the difficulty involved in the grid integration using the regular real-space grid is remarkably reduced without increasing the computational effort. To illustrate the capability, it is shown that the proposed method significantly suppresses not only a spurious oscillation in the energy curve for the atomic displacement involved in a weak interaction such as hydrogen bonding, but also the dependence of optimized structure on relative position to the real-space grid in the geometry optimization within a modest grid fineness.
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Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Efficient pseudopotentials for plane-wave calculations
Troullier, N., & Martins, J. L. (1991) · Physical Review B · doi:10.1103/physrevb.43.1993 · Cited by 16,148
Ground State of the Electron Gas by a Stochastic Method
Ceperley, D. M., & Alder, B. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.566 · Cited by 14,384
The SIESTA method for ab initio order-N materials simulation
Soler, J. M., Artacho, E., Gale, J. D., García, A., Junquera, J., Ordejón, P., & Sánchez-Portal, D. (2002) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/14/11/302 · Cited by 12,218
An all-electron numerical method for solving the local density functional for polyatomic molecules
Delley, B. (1990) · The Journal of Chemical Physics · doi:10.1063/1.458452 · Cited by 10,536
Efficacious Form for Model Pseudopotentials
Kleinman, L., & Bylander, D. M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1425 · Cited by 5,672
Pseudopotentials that work: From H to Pu
Bachelet, G. B., Hamann, D. R., & Schlüter, M. (1982) · Physical Review B · doi:10.1103/physrevb.26.4199 · Cited by 3,385
A multicenter numerical integration scheme for polyatomic molecules
Becke, A. D. (1988) · The Journal of Chemical Physics · doi:10.1063/1.454033 · Cited by 2,731
Self-consistent order-Ndensity-functional calculations for very large systems
Ordejón, P., Artacho, E., & Soler, J. M. (1996) · Physical Review B · doi:10.1103/physrevb.53.r10441 · Cited by 2,634
Sankey, O. F., & Niklewski, D. J. (1989) · Physical Review B · doi:10.1103/physrevb.40.3979 · Cited by 1,503
Linear scaling electronic structure methods
Goedecker, S. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.1085 · Cited by 1,392
Variationally optimized atomic orbitals for large-scale electronic structures
Ozaki, T. (2003) · Physical Review B · doi:10.1103/physrevb.67.155108 · Cited by 1,375
Self-citationRotation-Vibration Spectra of Deuterated Water Vapor
Benedict, W. S., Gailar, N., & Plyler, E. K. (1956) · The Journal of Chemical Physics · doi:10.1063/1.1742731 · Cited by 1,320
Direct calculation of electron density in density-functional theory
Yang, W. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.1438 · Cited by 1,053
Numerical atomic basis orbitals from H to Kr
Ozaki, T., & Kino, H. (2004) · Physical Review B · doi:10.1103/physrevb.69.195113 · Cited by 976
Self-citationDensity-matrix electronic-structure method with linear system-size scaling
Li, X.-P., Nunes, R. W., & Vanderbilt, D. (1993) · Physical Review B · doi:10.1103/physrevb.47.10891 · Cited by 704
Dipole moment of water from Stark measurements of H2O, HDO, and D2O
Clough, S. A., Beers, Y., Klein, G. P., & Rothman, L. S. (1973) · The Journal of Chemical Physics · doi:10.1063/1.1680328 · Cited by 694
Variational mesh for quantum-mechanical simulations
Pederson, M. R., & Jackson, K. A. (1990) · Physical Review B · doi:10.1103/physrevb.41.7453 · Cited by 516
A standard grid for density functional calculations
Gill, P. M. W., Johnson, B. G., & Pople, J. A. (1993) · Chemical Physics Letters · doi:10.1016/0009-2614(93)80125-9 · Cited by 477
Efficient Linear Scaling Algorithm for Tight-Binding Molecular Dynamics
Goedecker, S., & Colombo, L. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.122 · Cited by 448
Accurate forces in a local-orbital approach to the local-density approximation
Jackson, K., & Pederson, M. R. (1990) · Physical Review B · doi:10.1103/physrevb.42.3276 · Cited by 375
Large scale electronic structure calculations
Galli, G., & Parrinello, M. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.3547 · Cited by 338
Generalized separable potentials for electronic-structure calculations
Blöchl, P. E. (1990) · Physical Review B · doi:10.1103/physrevb.41.5414 · Cited by 312
Timesaving Double-Grid Method for Real-Space Electronic-Structure Calculations
Ono, T., & Hirose, K. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.5016 · Cited by 215
Electronic-structure calculations in adaptive coordinates
Gygi, F. (1993) · Physical Review B · doi:10.1103/physrevb.48.11692 · Cited by 204
Briley, A., Pederson, M. R., Jackson, K. A., Patton, D. C., & Porezag, D. V. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.1786 · Cited by 75
Molecular dynamics with quantum forces: Vibrational spectra of localized systems
Chelikowsky, J. R., Jing, X., Wu, K. J., et al. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.53.12071 · Cited by 35
Cited by
Reproducibility in density functional theory calculations of solids
Lejaeghere, K., Bihlmayer, G., Björkman, T., Blaha, P., Blügel, S., Blum, V., Caliste, D., Castelli, I. E., Clark, S. J., Dal Corso, A., et al. (2016) · Science · doi:10.1126/science.aad3000 · Cited by 1,649
Self-citation
Metadata
- Authors
- Ozaki, T., & Kino, H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-14
- Volume
- 72
- Issue
- 4
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2326488030
- Cited by
- 537
- References
- 30
- FWCI
- 3.89
- Type
- journal article
- Language
- en
- Open access
- closed
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