Abstract
The use of the density functional formalism for obtaining parameters of model Hamiltonians is discussed. These parameters are renormalized quantities, taking effects into account which are not explicitly included in the model. Some renormalization effects of this type are discussed. Methods for calculating Coulomb integrals U are presented, and the renormalization due to screening effects is calculated. The on-site screening is found to be very efficient for Ce, while it is much less efficient for 3d metals. The calculation of hopping matrix elements V is discussed, and renormalization effects due to different Coulomb interactions are considered. Some applications to Ce and 3d systems are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
For a review of recent work, see, e.g., R.O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
See, e.g., S. Horsch, P. Horsch and P. Fulde, Phys. Rev. B 28, 5977 (1983).
M.S. Hybertsen and S.G. Louie, Phys. Rev. Lett. 55,1418 (1985); R.W. Godby, M. Schluter and L. J. Sham, Phys. Rev. Lett. 56, 2415 (1986); W. von der Linden and P. Horsch, Phys. Rev. B 37, 8351 (1988).
See, e.g., S. Fahy, X.W. Wang and S.G. Louie, Phys. Rev. Lett. 61, 1631 (1988).
O. Gunnarsson and K. Schonhammer, Phys. Rev. Lett. 50, 604 (1983); Phys. Rev. B 28, 4315 (1983); and in: Handbook on the Physics and Chemistry of Rare Earths, eds. K. Gschneider, L. Eyring and S. Hufner, Vol. 10 ( North Holland, Amsterdam 1987 ), p. 103.
J.R. Schrieffer and P.A. Wolff, Phys. Rev. 149, 491 (1966).
F.C. Zhang and T.M. Rice, Phys. Rev. B 37, 3759 (1988).
C. Herring, In Magnetism ed. by G.T. Rado and H. Suhl, ( Academic, New York 1966 ).
O. Gunnarsson, Phys. Rev. B 41, 514 (1990).
O. Gunnarsson, O.K. Andersen, O. Jepsen and J. Zaanen, Proceedings of the 10th Taniguchi Symposium on Core Level Spectroscopy in Condensed Systems, eds. J. Kanamori and A. Kotani, Springer, Heidelberg, 1988, p. 82; Phys. Rev. B 39, 1708 (1989).
A.K. McMahan, R.M. Martin and S. Satpathy, Phys. Rev. B 38, 6650 (1988).
M.S. Hybertsen, M. Schluter, and N.E. Christensen, Phys. Rev. B 39, 9028 (1989)
V.I. Anisimov and O. Gunnarsson, (to be publ.)
V. Drchal, O. Gunnarsson, and O. Jepsen, (to be publ.)
P.W. Anderson, Phys. Rev. 124, 41 (1961).
P.W. Anderson, Phys. Rev. Lett. 18, 1049 (1967).
O. Gunnarsson and K. Schonhammer, Phys. Rev. B 40, 4160 (1989).
P. Nozieres C.T. Dominicis, Phys. Rev. 178, 1097 (1969).
J.W. Allen, S.-J. Oh, O. Gunnarsson, K. Schonhammer, M.B. Maple, M.S. Torikachvili and I. Lindau, Adv. Phys. 35, 275 (1987).
O. Gunnarsson and N.E. Christensen, Phys. Rev. B 42, 2363 (1990).
M. Takeshige, O. Sakai, and T. Kasuya, (to be publ.)
O. Gunnarsson and O. Jepsen, Phys. Rev. B 38, 3568 (1988).
O. Gunnarsson, N.E. Christensen and O.K. Andersen, J. Magn. Magn. Mater. 76 & 77, 30 (1988).
J.-S. Kang, J.W. Allen, O. Gunnarsson, N.E. Christensen, O.K. Andersen, Y. Lassailly, M.B. Maple, and M.S. Torikachvili, Phys. Rev. 41, 6610 (1990).
O. Gunnarsson, O. Jepsen, and Z.-X. Shen, Phys. Rev. 42, 8709 (1990).
See, e.g., J.F. Annett, R.M. Martin, A.K. McMahan, and S. Satpathy, Phys. Rev. 40, 2620 (1989).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Gunnarsson, O. (1992). Model Hamiltonian Parameters from Ab Initio Calculations. In: Iye, Y., Yasuoka, H. (eds) The Physics and Chemistry of Oxide Superconductors. Springer Proceedings in Physics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77154-5_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-77154-5_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77156-9
Online ISBN: 978-3-642-77154-5
eBook Packages: Springer Book Archive