Linearized augmented-plane-wave method

The linearized augmented-plane-wave method (LAPW) is an implementation of Kohn-Sham density functional theory (DFT) adapted to periodic materials.[1][2][3] It typically goes along with the treatment of both valence and core electrons on the same footing in the context of DFT and the treatment of the full potential and charge density without any shape approximation. This is often referred to as the all-electron full-potential linearized augmented-plane-wave method (FLAPW).[4] It does not rely on the pseudopotential approximation and employs a systematically extendable basis set. These features make it one of the most precise implementations of DFT, applicable to all crystalline materials, regardless of their chemical composition. It can be used as a reference for evaluating other approaches.[5][6]

  1. ^ Marcus, Paul M. (January 1967). "Variational methods in the computation of energy bands". International Journal of Quantum Chemistry. 1 (S1): 567–588. doi:10.1002/qua.560010659.
  2. ^ Andersen, O. Krogh (15 October 1975). "Linear methods in band theory" (PDF). Physical Review B. 12 (8): 3060–3083. Bibcode:1975PhRvB..12.3060A. doi:10.1103/PhysRevB.12.3060. S2CID 122641701.
  3. ^ Koelling, D. D.; Arbman, G. O. (November 1975). "Use of energy derivative of the radial solution in an augmented plane wave method: application to copper". Journal of Physics F: Metal Physics. 5 (11): 2041–2054. Bibcode:1975JPhF....5.2041K. doi:10.1088/0305-4608/5/11/016. ISSN 0305-4608.
  4. ^ Wimmer, E.; Krakauer, H.; Weinert, M.; Freeman, A. J. (15 July 1981). "Full-potential self-consistent linearized-augmented-plane-wave method for calculating the electronic structure of molecules and surfaces: O 2 molecule". Physical Review B. 24 (2): 864–875. Bibcode:1981PhRvB..24..864W. doi:10.1103/PhysRevB.24.864.
  5. ^ Lejaeghere, K.; Bihlmayer, G.; Bjorkman, T.; Blaha, P.; Blugel, S.; Blum, V.; Caliste, D.; Castelli, I. E.; Clark, S. J.; Dal Corso, A.; de Gironcoli, S.; Deutsch, T.; Dewhurst, J. K.; Di Marco, I.; Draxl, C.; Dułak, M.; Eriksson, O.; Flores-Livas, J. A.; Garrity, K. F.; Genovese, L.; Giannozzi, P.; Giantomassi, M.; Goedecker, S.; Gonze, X.; Granas, O.; Gross, E. K. U.; Gulans, A.; Gygi, F.; Hamann, D. R.; Hasnip, P. J.; Holzwarth, N. A. W.; Iuşan, D.; Jochym, D. B.; Jollet, F.; Jones, D.; Kresse, G.; Koepernik, K.; Kucukbenli, E.; Kvashnin, Y. O.; Locht, I. L. M.; Lubeck, S.; Marsman, M.; Marzari, N.; Nitzsche, U.; Nordstrom, L.; Ozaki, T.; Paulatto, L.; Pickard, C. J.; Poelmans, W.; Probert, M. I. J.; Refson, K.; Richter, M.; Rignanese, G.-M.; Saha, S.; Scheffler, M.; Schlipf, M.; Schwarz, K.; Sharma, S.; Tavazza, F.; Thunstrom, P.; Tkatchenko, A.; Torrent, M.; Vanderbilt, D.; van Setten, M. J.; Van Speybroeck, V.; Wills, J. M.; Yates, J. R.; Zhang, G.-X.; Cottenier, S. (25 March 2016). "Reproducibility in density functional theory calculations of solids". Science. 351 (6280): aad3000. Bibcode:2016Sci...351.....L. doi:10.1126/science.aad3000. hdl:1854/LU-7191263. PMID 27013736. S2CID 206642768.
  6. ^ Bosoni, Emanuele; Beal, Louis; Bercx, Marnik; Blaha, Peter; Blügel, Stefan; Bröder, Jens; Callsen, Martin; Cottenier, Stefaan; Degomme, Augustin; Dikan, Vladimir; Eimre, Kristjan; Flage-Larsen, Espen; Fornari, Marco; Garcia, Alberto; Genovese, Luigi; Giantomassi, Matteo; Huber, Sebastiaan P.; Janssen, Henning; Kastlunger, Georg; Krack, Matthias; Kresse, Georg; Kühne, Thomas D.; Lejaeghere, Kurt; Madsen, Georg K. H.; Marsman, Martijn; Marzari, Nicola; Michalicek, Gregor; Mirhosseini, Hossein; Müller, Tiziano M. A.; Petretto, Guido; Pickard, Chris J.; Poncé, Samuel; Rignanese, Gian-Marco; Rubel, Oleg; Ruh, Thomas; Sluydts, Michael; Vanpoucke, Danny E. P.; Vijay, Sudarshan; Wolloch, Michael; Wortmann, Daniel; Yakutovich, Aliaksandr V.; Yu, Jusong; Zadoks, Austin; Zhu, Bonan; Pizzi, Giovanni (January 2024). "How to verify the precision of density-functional-theory implementations via reproducible and universal workflows". Nature Reviews Physics. 6 (1): 45–58. arXiv:2305.17274. doi:10.1038/s42254-023-00655-3.

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