Abstract
The pseudopotential method will be used throughout the remainder of this text to calculate E n (k) and other properties of semiconductors. The major virtue of this approach is that only the valence electrons need be considered. The cores are assumed to be frozen in an atomic-like configuration, and the valence electrons move in a net, weak one-electron potential.
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
E. Fermi: Nuovo Cimento 11, 157 (1934)
H.J. Hellman: J. Chem. Phys. 3, 61 (1935)
E. Antoncik: J. Phys. Chem. Solids 10, 314 (1959)
J.C. Phillips, L. Kleinman: Phys. Rev. 116, 287 (1959)
M.H. Cohen, V. Heine: Phys. Rev. 122, 1821 (1961)
P.W. Anderson: Concepts in Solids (Benajmin, New York 1963)
B.J. Austin, V. Heine, L.J. Sham: Phys. Rev. 127, 276 (1962)
N.W. Ashcroft: Phys. Lett. 23, 48 (1966)
V. Heine, I. Abarankov: Phil. Mag. 9, 451 (1964)
A.D.E. Animalu, V. Heine: Phil. Mag. 12, 1249 (1965)
M. Appapillai, V. Heine: Technical Report No. 5, Cavendish Laboratory, Cambridge, UK, 1972
M. Appapillai, A.R. Williams: J. Phys. F3, 759 (1973)
M.L. Cohen, V. Heine: Solid State Phys. 24, 37 (1970)
D. Brust, J.C. Phillips, F. Bassani: Phys. Rev. Lett. 9, 94 (1962)
D. Brust, M.L. Cohen, J.C. Phillips: Phys. Rev. Lett. 9, 389 (1962)
M.L. Cohen, T.K. Bergstresser: Phys. Rev. 141, 789 (1966)
P.B. Allen, M.L. Cohen: Phys. Rev. 187, 525 (1969)
J.R. Chelikowsky, M.L. Cohen: Phys. Rev. B14, 556 (1976)
J.P. Walter, M.L. Cohen: Phys. Rev. B2, 1821 (1970)
J.A. Appelbaum, D.R. Hamann: Phys. Rev. B8, 1777 (1973)
M.L. Cohen, M. Schlüter, J.R. Chelikowsky, S.G. Louie: Phys. Rev. B12, 5575 (1975)
M. Schlüter, J.R. Chelikowsky, S.G. Louie, M.L. Cohen: Phys. Rev. B12, 4200 (1975)
M.L. Cohen: Advances in Electronics and Electron Physics, Vol. 51, eds. L. Marton and C. Marton (Academic, New York 1980), p. 1–62
E. Wigner: Phys. Rev. 46, 1002 (1934)
J.C. Slater: Phys. Rev. 81, 385 (1951)
P. Hohenberg, W. Kohn: Phys. Rev. 136, B863 (1964)
W. Kohn, L.J. Sham: Phys. Rev. 140, A113 (1965)
L. Hedin, B.I. Lundqvist: J. Phys. C4, 2064 (1971)
Theory of the Inhomogeneous Electron Gas, ed. by S. Lundqvist, N.H. March (Plenum, New York 1983), and references therein
T. Starkloff, J.D. Joannopoulos: Phys. Rev. B16, 5212 (1977)
A. Zunger, M.L. Cohen: Phys. Rev. B20, 4082 (1979)
D.R. Hamann, M. Schlüter, C. Chiang: Phys. Rev. Lett. 43, 1494 (1979)
G.P. Kerker: J. Phys. C13, L189 (1980)
M.T. Yin, M.L. Cohen: Phys. Rev. B25, 7403 (1982)
S.G. Louie, S. Froyen, M.L. Cohen: Phys. Rev. B26, 1738 (1982)
MX. Cohen: Phys. Scripta T1, 5 (1982)
M. Hybertsen, S.G. Louie: Phys. Rev. Lett. 55, 418 (1985)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Cohen, M.L., Chelikowsky, J.R. (1988). Pseudopotentials. In: Electronic Structure and Optical Properties of Semiconductors. Springer Series in Solid-State Sciences, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97080-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-97080-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97082-5
Online ISBN: 978-3-642-97080-1
eBook Packages: Springer Book Archive