@article{PhysRevB.54.11169, title = {Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set}, author = {Kresse, G. and Furthm\"uller, J.}, journal = {Phys. Rev. B}, volume = {54}, issue = {16}, pages = {11169--11186}, numpages = {0}, year = {1996}, month = {Oct}, publisher = {American Physical Society}, doi = {10.1103/PhysRevB.54.11169}, url = {https://link.aps.org/doi/10.1103/PhysRevB.54.11169} } @article{KRESSE199615, title = {Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set}, journal = {Computational Materials Science}, volume = {6}, number = {1}, pages = {15-50}, year = {1996}, issn = {0927-0256}, doi = {https://doi.org/10.1016/0927-0256(96)00008-0}, url = {https://www.sciencedirect.com/science/article/pii/0927025696000080}, author = {G. Kresse and J. Furthmüller}, abstract = {We present a detailed description and comparison of algorithms for performing ab-initio quantum-mechanical calculations using pseudopotentials and a plane-wave basis set. We will discuss: (a) partial occupancies within the framework of the linear tetrahedron method and the finite temperature density-functional theory, (b) iterative methods for the diagonalization of the Kohn-Sham Hamiltonian and a discussion of an efficient iterative method based on the ideas of Pulay's residual minimization, which is close to an order Natoms2 scaling even for relatively large systems, (c) efficient Broyden-like and Pulay-like mixing methods for the charge density including a new special ‘preconditioning’ optimized for a plane-wave basis set, (d) conjugate gradient methods for minimizing the electronic free energy with respect to all degrees of freedom simultaneously. We have implemented these algorithms within a powerful package called VAMP (Vienna ab-initio molecular-dynamics package). The program and the techniques have been used successfully for a large number of different systems (liquid and amorphous semiconductors, liquid simple and transition metals, metallic and semi-conducting surfaces, phonons in simple metals, transition metals and semiconductors) and turned out to be very reliable.} } @article{PhysRevB.59.1758, title = {From ultrasoft pseudopotentials to the projector augmented-wave method}, author = {Kresse, G. and Joubert, D.}, journal = {Phys. Rev. B}, volume = {59}, issue = {3}, pages = {1758--1775}, numpages = {0}, year = {1999}, month = {Jan}, publisher = {American Physical Society}, doi = {10.1103/PhysRevB.59.1758}, url = {https://link.aps.org/doi/10.1103/PhysRevB.59.1758} }