References¶
Electronic structure¶
- Martin, Electronic Structure: Basic Theory and Practical Methods.
- Payne, M. P. Teter, D. C. Allan, T. A. Arias, and J. D. Joannopoulos, Rev. Mod. Phys. 64, 1045 (1992).
Ab initio molecular dynamics¶
- Marx and J. Hutter, Ab Initio Molecular Dynamics
Density functional theory¶
- Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
- Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
Normconserving pseudopotential¶
- Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991).
Ultrasoft pseudopotential¶
- Vanderbilt, Phys. Rev. B 41, 7892 (1990).
- Pasquarello, et al., Phys. Rev. Lett. 69, 1982 (1992).
- Lassonone, et al., Phys. Rev. B 47, 10142 (1993).
Iterative diagonalization¶
- Kresse and J. Furthmuller, Phys. Rev. B 54, 11169 (1996).
- Kresse and J. Furthmuller, Comp. Mat. Sci. 6. 15 (1996).
Original references for Davidson method and RMM-DIIS
- Davidson, J. Comp. Phys. 17. 87 (1975).
- Wood and A. Zunger, J. Phys. A: Math. Gen. 18, 1343 (1985).
Real-space projection of the nolocal pseudopotential¶
- King-Smith, et al., Phys. Rev. B 44, 13063 (1991).
K-point sampling¶
- Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).
Smearing method¶
- Marzari, D. Vanderbilt, A. De Vita, and M. C. Payne, Phys. Rev. Lett. 82, 3296 (1999).
- Methfessel and A. T. Paxton, Phys. Rev. B 40, 7312 (1991).
- N. Marzari, PhD thesis (University of Cambridge, 1996).
Nudged elastic band and quenched molecular dynamics method¶
- H. Jonsson, G. Mills, and K. W. Jacobsen, “Nudged elastic band method for finding minimum energy paths of transitions,” in *Classical and Quantum Dynamics in Condensed Phase Simulations*, edited by B. J. Berne, G. Ciccotti, and D. F. Coker (World Scientific, Singapore, 1998), p 385.
- Henkelman, B. P. Uberuaga, and H. Jonsson, J. Chem. Phys. 113, 9901 (2000).
Fast inertial relaxation engine¶
- Bitzek, P. Koskinen, F. Gahler, M. Moseler, P. Gumbsch, Phys. Rev. Lett. 97, 170201 (2006).
Dipole correction¶
- Neugebauer and M. Scheffler, Phys. Rev. B 46, 16067 (1992).
- Bengtsson, Phys. Rev. B 59, 12301 (1999).
Effective screening medium (ESM) method¶
- Otani, O. Sugino, Phys. Rev. B 73, 115407 (2006).
- I. Hamada, M. Otani, O. Sugino, Y. Morikawa, Phys. Rev. B 80, 165411 (2009).
Efficient implementation of the van der Waals density functional¶
- Hamamoto, I. Hamada, K. Inagaki, and Y. Morikawa, Phys. Rev. B 93, 245440 (2016).
- Roman-Perez and J. M. Soler, Phys. Rev. Lett. 103, 096102 (2009).
- Wu and F. Gygi, J. Chem. Phys. 136, 224107 (2012).
DFT+U¶
- Sawada, Y. Morikawa, K. Terakura, and N. Hamada, Phys. Rev. B 56, 12154 (1997).
- I. Hamada, J. Phys. Soc. Jpn 82, 105002 (2013).
Crystal orbital overlap analysis¶
- Hoffman, Rev. Mod. Phys. 60, 601 (1988).
- Aizawa and S. Tsuneyuki, Surf. Sci. 399, L364 (1998).
- Hamamoto, S. A. Wella, K. Inagaki, F. Abild-Pedersen, T. Bligaard, I. Hamada, and Y. Morikawa, Phys. Rev. B 102, 075408 (2020).