Optimized norm-conserving Vanderbilt pseudopotentials
Open accessAbstract
Fully nonlocal two-projector norm-conserving pseudopotentials are shown to be compatible with a systematic approach to the optimization of convergence with the size of the plane-wave basis. A reformulation of the optimization is developed, including the ability to apply it to positive-energy atomic scattering states and to enforce greater continuity in the pseudopotential. The generalization of norm conservation to multiple projectors is reviewed and recast for the present purposes. Comparisons among the results of all-electron and one- and two-projector norm-conserving pseudopotential calculations of lattice constants and bulk moduli are made for a group of solids chosen to represent a variety of types of bonding and a sampling of the periodic table.
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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 · see citing works
Projector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732 · see citing works
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 · see citing works
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541 · see citing works
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185 · see citing works
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 · see citing works
Efficient pseudopotentials for plane-wave calculations
Troullier, N., & Martins, J. L. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.43.1993 · Cited by 16,073 · see citing works
Unified Approach for Molecular Dynamics and Density-Functional Theory
Car, R., & Parrinello, M. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.2471 · Cited by 10,737 · see citing works
Phonons and related crystal properties from density-functional perturbation theory
Stefano Baroni, A., de Gironcoli, S., Corso, A. D., & Giannozzi, P. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.515 · Cited by 10,017 · see citing works
Finite Elastic Strain of Cubic Crystals
Birch, F. S. (1947) · Physical Review · doi:10.1103/physrev.71.809 · Cited by 6,623 · see citing works
Efficacious Form for Model Pseudopotentials
Kleinman, L., & Bylander, D. M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1425 · Cited by 5,705 · see citing works
Hedin, L. (1965) · Physical Review · doi:10.1103/physrev.139.a796 · Cited by 5,430 · see citing works
Norm-Conserving Pseudopotentials
Hamann, D. R., Schlüter, M., & Chiang, C. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.1494 · Cited by 4,511 · see citing works
Self-citationPseudopotentials that work: From H to Pu
Bachelet, G. B., Hamann, D. R., & Schluter, M. A. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.26.4199 · Cited by 3,379 · see citing works
Self-citationABINIT: First-principles approach to material and nanosystem properties
Gonze, X., Amadon, B., Anglade, P.-M., Beuken, J.-M., François Bottin, A., Boulanger, P., Bruneval, F., Caliste, D., Caracas, R., Côté, M., et al. (2009) · Computer Physics Communications · doi:10.1016/j.cpc.2009.07.007 · Cited by 2,676 · see citing works
Self-citationRappe, A. M., Rabe, K. M., Kaxiras, E., & Joannopoulos, J. D. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.1227 · Cited by 2,518 · see citing works
A technique for relativistic spin-polarised calculations
Koelling, D. D., & Harmon, B. N. (1977) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/10/16/019 · Cited by 2,392 · see citing works
Pseudopotentials for high-throughput DFT calculations
Garrity, K. F., Bennett, J. W., Rabe, K. M., & Vanderbilt, D. (2014) · Computational Materials Science · doi:10.1016/j.commatsci.2013.08.053 · Cited by 1,644 · see citing works
Fuchs, M., & Scheffler, M. (1999) · Computer Physics Communications · doi:10.1016/s0010-4655(98)00201-x · Cited by 1,485 · see citing works
First-Principles Theory of Quasiparticles: Calculation of Band Gaps in Semiconductors and Insulators
Hybertsen, M. S., & Louie, S. G. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.1418 · Cited by 1,397 · see citing works
A brief introduction to the ABINIT software package
Gonze, X. (2005) · Zeitschrift für Kristallographie - Crystalline Materials · doi:10.1524/zkri.220.5.558.65066 · Cited by 1,256 · see citing works
Generalized norm-conserving pseudopotentials
Hamann, D. R. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.40.2980 · Cited by 1,158 · see citing works
Self-citationOptimally smooth norm-conserving pseudopotentials
Vanderbilt, D. (1985) · Physical review. B, Condensed matter · doi:10.1103/physrevb.32.8412 · Cited by 821 · see citing works
Generalized separable potentials for electronic-structure calculations
Blöchl, P. E. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.5414 · Cited by 313 · see citing works
Metric tensor formulation of strain in density-functional perturbation theory
Hamann, D. R., Wu, X., Rabe, K. M., & Vanderbilt, D. H. (2005) · Physical Review B · doi:10.1103/physrevb.71.035117 · Cited by 298 · see citing works
Self-citationHalf-Heusler Semiconductors as Piezoelectrics
Roy, A. L., Bennett, J. W., Rabe, K. M., & Vanderbilt, D. H. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.037602 · Cited by 255 · see citing works
Nonlocal Hermitian norm-conserving Vanderbilt pseudopotential
Morrison, I., Bylander, D. M., & Kleinman, L. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.47.6728 · Cited by 252 · see citing works
Ghost states for separable, norm-conserving, Iab initioP pseudopotentials
Gonze, X., Käckell, P., & Scheffler, M. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.12264 · Cited by 166 · see citing works
Extended norm-conserving pseudopotentials
Shirley, E. L., Allan, D. C., Martin, R. M., et al. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.40.3652 · Cited by 144 · see citing works
Electronic and structural properties of CaSi2
Fahy, S., & Hamann, D. R. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.7587 · Cited by 89 · see citing works
Self-citationNotizen: Zur Struktur der Phase CaSi2
Janzon, K. H., Schäfer, H., & Weiss, A. (1968) · Zeitschrift für Naturforschung B · doi:10.1515/znb-1968-1128 · Cited by 50 · see citing works
Optimized norm-conserving Hartree-Fock pseudopotentials for plane-wave calculations
Al-Saidi, W. A., Walter, E. J., & Rappe, A. M. (2008) · Physical Review B · doi:10.1103/physrevb.77.075112 · Cited by 33 · see citing works
Large-scale first-principles molecular dynamics for electrochemical systems with O(N) methods
Ohwaki, T., Otani, M., Ikeshoji, T., et al. (2012) · The Journal of Chemical Physics · doi:10.1063/1.3698583 · Cited by 27 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- 35 M. Fuchs and M. Scheffler, Computer Phys. Commun. 119, 67 (1999)
Cited by
Sorted by citations
Mounet, N., Gibertini, M., Schwaller, P., Campi, D., Merkys, A., Marrazzo, A., Sohier, T., Castelli, I. E., Cepellotti, A., Pizzi, G., et al. (2018) · Nature Nanotechnology · doi:10.1038/s41565-017-0035-5 · Cited by 1,863 · see citing works
Pseudopotentials for high-throughput DFT calculations
Garrity, K. F., Bennett, J. W., Rabe, K. M., & Vanderbilt, D. (2014) · Computational Materials Science · doi:10.1016/j.commatsci.2013.08.053 · Cited by 1,644 · see citing works
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 · see citing works
Self-citationOptimization algorithm for the generation of ONCV pseudopotentials
Schlipf, M., & Gygi, F. (2015) · Computer Physics Communications · doi:10.1016/j.cpc.2015.05.011 · Cited by 1,300 · see citing works
Zhou, J.-J., Hellman, O., & Bernardi, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.226603 · Cited by 160 · see citing works
Pela, R. R., Hsiao, C.-L., Hultman, L., Birch, J., & Gueorguiev, G. K. (2024) · Physical Chemistry Chemical Physics · doi:10.1039/d3cp05295h · Cited by 75 · see citing works
Magnetic Control of Soft Chiral Phonons in PbTe
Baydin, A., Hernandez, F. G. G., Rodriguez-Vega, M., Okazaki, A. K., Tay, F., Noe, G. T., Katayama, I., Takeda, J., Nojiri, H., Rappl, P. H. O., et al. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.075901 · Cited by 68 · see citing works
Ibrahim, E., Lysogorskiy, Y., Drautz, R., & Piaggi, P. M. (2026) · arXiv · doi:10.48550/arxiv.2609.03044
“We employed norm-conserving, scalar-relativistic pseudopo-tentials 46 for Ca, C, O, H parameterized using the PBE 42 functional with 10 , 4 , 6 , and 1 valence electrons, respectively.”
- Authors
- Hamann, D. R.
- Affiliations
- Rutgers, The State University of New Jersey (US)
- Corresponding author
- Hamann, D. R.
- ORCID
- Hamann, D. R.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2013-08-19
- Volume
- 88
- Issue
- 8
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2030330123
- Cited by
- 3,379
- References
- 33
- Citations by year
- 2026: 475 · 2025: 600 · 2024: 519 · 2023: 383 · 2022: 360 · 2021: 320 · 2020: 319 · 2019: 185 · 2018: 117 · 2017: 66 · 2016: 22 · 2015: 8 · 2014: 3 · 2013: 1
- FWCI
- 5.83
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
- Keywords
- norm-conserving pseudopotentials, multiple projectors, lattice parameters, bulk modulus, all-electron calculations, solid-state bonding
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