This file is still under development. It should be completed by many references ...

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The ABINIT user should read the "acknowledgment" document for a list of papers more specifically related to the ABINIT group efforts.

The celebrated papers of Hohenberg, Kohn and Sham, introducing DFT

P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964)

W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965)

Some review papers or books worth reading

- On ab-initio molecular dynamics and and the band-by-band conjugate
gradient algorithm.

M. C. Payne, M. P. Teter, D. C. Allan, T. A. Arias, and J. D. Joannopoulos, Rev. Mod. Phys. 64, 1045-1097 (1992) -
The book by Richard M. Martin (planned June 2004), Cambridge University Press.

Electronic Structure : Basic Theory and Practical Methods (ISBN: 0521782856)

For details, see http://titles.cambridge.org/catalogue.asp?isbn=0521782856

Exchange-correlation approximations and implementation

- Perdew-Wang '92 Local Spin Density Approximation:

J.P. Perdew, Y. Wang, Phys. Rev. B 45, 13244 (1992) - PBE Generalized Gradient Approximation:

J.P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996) - Teter Pade fitting of PW92 data: see the appendix of

S. Goedecker, M. Teter, and J. Hutter, Phys. Rev. B 54, 1703 (1996)

J.P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996) - see also the following comment on PBE:

Y. Zhang and W. Yang, Phys. Rev. Lett. 80, 890 (1998) - Stresses in GGA

A. Dal Corso and R. Resta, Phys. Rev. B 50, 4327 (1994). - Implementation of GGA

J.A. White and D.M. Bird, Phys. Rev. B 50, 4954 (1994).

Scheme for the convergence of the SCF cycles

- Potential based conjugate-gradient algorithm:

X. Gonze, Phys. Rev. B 54, 4383 (1996) - Description of another code based on the traditional SCF cycle,
with preconditionning (VASP code):

G. Kresse and J. Furthm/"uller, Comput. Mater. Science 6, 15 (1996). - Still another SCF algorithm

D.M. Bylander, L. Kleinman, and S. Lee, Phys. Rev. B 42, 1394 (1990).

Treatment of occupation numbers for metals

- The free energy for different smearing schemes:

S. de Gironcoli, Phys. Rev. B 51, 6773 (1995). - Gaussian-Hermite smearing

M. Methfessel and A.T. Paxton, Phys. Rev. B 40, 3616 (1989) - An extensive presentation of different treatments,
and the "cold smearing" technique

N. Marzari, PhD dissertation, U. of Cambridge (1996).

Available at http://nnn.mit.edu/phd

N. Marzari et al, Phys. Rev. Lett. 82, 3296 (1999).

Sampling the Brillouin zone

- The Monkhorst and Pack grids

H.J. Monkhorst and J.D. Pack, Phys. Rev. B 13, 5188 (1976) - Discussion of k points for the FHI98MD code :

http://www.fhi-berlin.mpg.de/th/fhi98md/doc/main/node15.html

Computation of forces

- accurate force calculation

C.T. Chan, K.P. Bohnen, and K.M. Ho, Phys. Rev. B 47, 4771 (1993)

Pseudopotentials

- GTH pseudopotentials:

S. Goedecker, M. Teter, and J. Hutter, Phys. Rev. B 54, 1703 (1996). - HGH pseudopotentials:

C. Hartwigsen, S. Goedecker, and J. Hutter, Phys. Rev. B 58, 3641 (1998). - The Fritz-Haber-Institut package for generating pseudopotentials:

M. Fuchs, M. Scheffler, Comput. Phys. Commun. 119, 67 (1999) "Ab initio pseudopotentials for electronic structure calculations of poly-atomic systems using density-functional theory".

Stresses

- in LDA

O.H. Nielsen and R.M. Martin, Phys. Rev. B 32, 3792 (1985). - in GGA

A. Dal Corso and R. Resta, Phys. Rev. B 50, 4327 (1994). - smearing of plane wave kinetic energy (this is not the algorithm
implemented here, but it is close in spirit)

M. Bernasconi et al, J. Phys. Chem. Solids 56, 501 (1995)

Fast Fourier Transforms

- for super-scalar architectures

S. Goedecker, SIAM Journal on Scientific Computing 18, 1605 (1997) - for vector machines

S. Goedecker, Comp. Phys. Commun. 76, 294 (1993)

Response function computations

- First papers on linear-response without sum over conduction states
in solid state physics :

S. Baroni, P. Gianozzi, and A. Testa, Phys. Rev. Lett. 58, 1861 (1987)

N. E. Zein, Fiz. Tverd. Tela (Liningrad) 26, 3024 (1984) [Sov. Phys. Solis State 26, 1825 (1984)] - Responses to atomic displacements and macroscopic electric fields :
detailed description of an implementation based on plane waves and
separable pseudopotentials.

X. Gonze, Phys. Rev. B55, 10337 (1997) - Dynamical matrices, Born effective charges, dielectric permittivity
tensors and interatomic force constants

X. Gonze and C. Lee, Phys. Rev. B55, 10355 (1997) - Non-linear responses

X. Gonze and J.-P. Vigneron, PRB 39, 13120 (1989). - Review paper

S. Baroni, S. de Gironcoli, A. Dal Corso, P. Giannozzi, RMP 73, 515 (2001).

Selected applications of the response function formalism

- SiO2 (quartz)

X. Gonze, D.C. Allan, and M.P. Teter, Phys. Rev. Lett. 68, 3603 (1992)

X. Gonze, J.-C. Charlier, D.C. Allan and M.P. Teter, Phys. Rev. B 50, 13035 (1994)

C. Lee, X. Gonze, Phys. Rev. B 51, 8610 (1995) - Si

G.-M. Rignanese, J.-P. Michenaud and X. Gonze, Phys. Rev. B 53, 4488 (1996) - BaTiO3

Ph. Ghosez, X. Gonze and J.-P. Michenaud, Ferroelectrics, 206 (1998)

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