Abstract
A review of the applications of the pseudopotential method and total energy techniques to the electronic and structural properties of solids is presented. With this approach, it has recently become possible to determine with accuracy crystal structures, lattice constants, bulk moduli, shear moduli, cohesive energies, phonon spectra, solid-solid phase transformations, and other static and dynamical properties of solids. The only inputs to these calculations, which are performed either with plane wave or LCAO bases, are the atomic numbers and masses of the constituent atoms. Calculations have also been carried out to study the atomic and electronic structure of surfaces, chemisorption systems, and interfaces. Results for several selected systems including the covalent semiconductors and insulators and the transition metals are discussed. The review is not exhaustive but focuses on specific prototype systems to illustrate recent progress.
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
For related topics, see articles by K. Kunc and by R. M. Martin in this volume.
Introductory reviews on background materials are available in M. L. Cohen, Phys. Today 32:40 (1979), and M. L. Cohen, Phys. Scripta T1: 5 (1982).
D. R. Hamann, M. Schlüter, and C. Chiang, Phys. Rev. Lett. 43: 1494 (1979).
G. Kerker, J. Phys. C 13: L189 (1980).
A. Zunger and M. L. Cohen, Phys. Rev. B 18:5449 (1978); 20: 4082 (1979).
T. Starkoff and J. D. Joannopoulos, Phys. Rev. B 16: 5212 (1977).
S. G. Louie, S. Froyen, and M. L. Cohen, Phys. Rev. B 26: 1738 (1982).
P. Hohenberg and W. Kohn, Phys. Rev. 136: B864 (1964).
W. Kohn and L. J. Sham, Phys. Rev. 140: A1133 (1965).
E. Wigner, Phys. Rev. 46: 1002 (1934).
L. Hedin and B. I. Lundqvist, J. Phys. C 4: 2064 (1971).
U. von Barth and L. Hedin, J. Phys. C 5: 1629 (1972).
O. Gunnarsson, B. I. Lundqvist, and J. W. Wilkens, Phys. Rev. B 10: 1319 (1974).
D. M. Ceperley, Phys. Rev. B 18:3126 (1978); D. M. Ceperley and B. I. Alder, Phys. Rev. Lett. 45:566 (1980). These results are parameterized in J. P. Perdew and A. Zunger, Phys. Rev. B 23: 5048 (1981).
S. G. Louie, K. M. Ho, and M. L. Cohen, Phys. Rev. B 19: 1774 (1979).
J. R. Chelikowsky and S. G. Louie, Phys. Rev. B 29: 3470 (1984).
J. Ihm, A. Zunger, and M. L. Cohen, J. Phys. C 12: 4401 (1979).
Z. Levine and S. G. Louie, Phys. Rev. B 25: 6310 (1982).
D. Vanderbilt and S. G. Louie, Phys. Rev. B (in press).
J. R. Chelikowsky, S. G. Louie, D. Vanderbilt, and C. T. Chan, Int. J. of Quant. Chem. (in press).
M. T. Yin and M. L. Cohen, Phys. Rev. B 26: 5668 (1982).
S. Froyen and M. L. Cohen, Phys. Rev. B 28: 3258 (1983).
F. D. Murnaghan, Proc. Nat. Acad. Sci. U.S.A. 3: 244 (1944).
M. T. Yin and M. L. Cohen, Phys. Rev. B 24: 6121 (1981).
P. K. Lam and M. L. Cohen, Phys. Rev. B 24:4224 (1981); B 25: 6139 (1982).
M. Y. Chou, P. K. Lam, and M. L. Cohen, Solid State Comm. 42: 861 (1982).
C. T. Chan, J. R. Chelikowsky, and S. G. Louie (to be published).
K. M. Ho, C. L. Fu, B. N. Harmon, W. Weber, and D. R. Hamann, Phys. Rev. Lett. 49:673 (1982); Phys. Rev. B 29: 1575 (1984).
N. A. W. Holzwarth, S. G. Louie, and S. RabÃi, Phys. Rev. B 26: 5382 (1982).
R. Chen, P. Trucano, and R. F. Stewart, Acta Crystallogr. Sec. A 33: 823 (1977).
M. T. Yin and M. L. Cohen, Phys. Rev. Lett. 45:1004 (1980); Phys. Rev. B 26: 3259 (1982).
K. Kunc and R. M. Martin, Phys. Rev. Lett. 48: 406 (1982).
B. N. Harmon, W. Weber, and D. R. Hamann, Phys. Rev. B 25: 1109 (1982).
H. Nielsen and R. M. Martin, Phys. Rev. Lett. 50: 697 (1983).
D. Vanderbilt, S. G. Louie, and M. L. Cohen (to be published).
M. Born and R. Oppenheimer, Ann. Physk 84: 457 (1927).
K. Kunc and R. M. Martin, J. de Physique, Colloque C 6: 649 (1981).
M. T. Yin and M. L. Cohen, Phys. Rev. B 25: 4317 (1982).
S. A. Solin and A. K. Ramdas, Phys. Rev. B 1: 1687 (1970).
M. H. Cohen and J. Ruvalds, Phys. Rev. Lett. 23: 1378 (1969)
R. Tubino and J. L. Birman, Phys. Rev. B 15:5843 (1977), and references therein.
R. Biswas and R. M. Martin (to be published).
S. Fahy and S. G. Louie (to be published).
M. T. Yin, Phys. Rev. B (in press).
P. K. Lam and M. L. Cohen, Phys. Rev. B 27: 5986 (1983).
W. Maysenholder, S. G. Louie, and M. L. Cohen (to be published).
J. A. Moriarty and A. K. McMahan, Phys. Rev. Lett. 48: 809 (1982).
P. K. Lam, M. Y. Chou, and M. L. Cohen, J. Phys. C 17: 2065 (1984).
F. Aldinger and G. Petzow, Beryllium Science and Technology, ed. D. Webster and G. J. London, Plenum, New York, Vol. 1 (1979), p. 235.
F. Reif, Fundamentals of Statistical and Thermal Physics, McGraw-Hill, New York (1965), p. 294.
R. P. Feynman, Statistical Mechanics, Benjamin, Reading (1972), p. 9.
J. A. Appelbaum and D. R. Hamann, Rev. Mod. Phys. 48: 3 (1974).
M. Schluter, J. R. Chelikowsky, S. G. Louie, and M. L. Cohen, Phys. Rev. B 12: 4200 (1975).
For a recent review, see D. Haneman, Adv. Phys. 31: 165 (1982).
F. J. Himpsel, D. E. Eastman, P. Heimann, and J. F. van der Veen, Phys. Rev. B 24: 7270 (1981).
F. Houzay, G. Guichar, R. Pinchaux, G. Jezequel, F. Solal, A. Barsky, P. Steiner, and Y. Petroff, Surf. Sci. 132:40 (1983), and references therein.
J. M. Nicholls, G. V. Hansson, R. I. G. Uhrberg, and S. A. Flodstrom, Phys. Rev. B 27: 2594 (1983).
J. E. Northrup. J. Ihm, and M. L. Cohen, Phys. Rev. Lett. 47: 1910 (1981).
J. E. Northrup and M. L. Cohen, Phys. Rev. Lett. 49: 1349 (1982).
G. Allan and M. Lannoo, Surf. Science 63: 11 (1977).
C. B. Duke and W. K. Ford, Surf. Sci. 111: L685 (1981).
R. Del Sole and D. J. Chadi, Phys. Rev. B 24: 7430 (1981).
J. E. Northrup and M. L. Cohen, Phys. Rev. B 29: 5944 (1984).
K. C. Pandey, Phys. Rev. Lett. 47: 1913 (1981).
J. E. Northrup and M. L. Cohen, Phys. Rev. B 27: 6553 (1983).
D. Vanderbilt and S. G. Louie, Phys. Rev. B 29 (in press).
K. C. Pandey, Phys. Rev. B 25: 4338 (1982).
W. S. Yang and F. Jona, Bull. Am. Phys. Soc. 28: 415 (1983).
S. V. Pepper, Surf. Sci. 12: 47 (1982).
D. J. Chadi, Proceedings of the IXth Vacuum Congress/Vth International Conference on Solid Surfaces, Madrid, Spain, 1983; and J. Vac. Sci. Technol. (in press).
D. J. Chadi, Phys. Rev. B 26: 4762 (1982).
R. Seiwatz, Surf. Sci. 2: 473 (1964).
This unrelaxed Pandey model has all bulk bond lengths except for the graphite length for surface chain bonds.
J. Ihm, M. L. Cohen, and D. J. Chadi, Phys. Rev. B 21:4592 (1980); M. T. Yin and M. L. Cohen, ibid. 24: 2303 (1981).
J. Ihm, D. H. Lee, J. D. Joannopoulos, and J. J. Xiong, Phys. Rev. Lett. 51: 1872 (1983).
J. Ihm and J. D. Joannopoulos, Phys. Rev. B 26: 4429 (1982).
S. G. Louie, K. M. Ho, J. R. Chelikowsky, and M. L. Cohen, Phys. Rev. Lett. 37:1289 (1976); Phys. Rev. B 15: 5627 (1977).
S. G. Louie, Phys. Rev. Lett. 40: 1525 (1978).
J. A. Appelbaum and D. R. Hamann, Solid State Comm. 27: 881 (1978).
C. S. Wang and A. J. Freeman, Phys. Rev. B 11: 793 (1979).
J. R. Smith, J. G. Gay, and F. J. Arlinghaus, Phys. Rev. B 21: 2201 (1980).
H. Krakauer, M. Posternak, and A. J. Freeman, Phys. Rev. B 19: 1706 (1979).
Jepsen, J. Madsen, and 0. K. Andersen, Phys. Rev. B 18: 605 (1978).
G. P. Kerker, K. M. Ho, and M. L. Cohen, Phys. Rev. Lett. 40: 1593 (1978).
S. L. Wang, T. Gustafsson, and E. W. Plummer, Phys. Rev. Lett. 39: 822 (1977).
S. G. Louie, Phys. Rev. Lett. 42: 476 (1979).
W. Eberhardt, S. G. Louie, and E. W. Plummer, Phys. Rev. B 28: 465 (1983).
P. D. Johnson and N. V. Smith, Phys. Rev. Lett. 49: 290 (1982).
S. G. Louie, P. Thiry, R. Pinchaux, Y. Petroff, D. Chandesris, J. LeCante, Phys. Rev. Lett. 44: 549 (1980).
N. A. W. Holzwarth and J. R. Chelikowsky (to be published).
H. Conrad, G. Ertl, J. Kuppers, and E. E. Latta, Surf. Sci. 58: 578 (1976).
J. E. Demuth, Surf. Sci. 65:369 (1977), and unpublished.
D. M. Newns, Phys. Rev. 178: 1123 (1959).
K. Schonhammer, Solid State Comm. 22: 51 (1977).
For semiconductors, refer, for example, to J. Ihm and J. Joannopoulos, Phys. Rev. B 24:4191 (1981); M. T. Yin and M. L. Cohen, Phys. Rev. B 26:5668 (1982); S. Froyen and M. L. Cohen, Solid State Comm. 43: 447 (1982).
D. R. Hamann, Phys. Rev. Lett. 42: 662 (1979).
For the case of wide gap insulators, see, for example, R. A. Heaton and C. C. Lin, Phys. Rev. B 22:3629 (1980); S. B. Trickey, F. R. Green, Jr., and F. W. Averill, Phys. Rev. B 8: 4822 (1973).
G. Strinati, H. J. Mattausch, and W. Hanke, Phys. Rev. B 25:2867 (1982), and references therein.
C. S. Wang and W. E. Pickett, Phys. Rev. Lett. 51: 597 (1983).
L. J. Sham and M. Schluter, Phys. Rev. Lett. 51: 1888 (1983)
M. S. Hybertsen and S. G. Louie, Solid State Comm. (in press).
D. C. Langreth and M. J. Mehl, Phys. Rev. B 28:1809 (1983), and references therein.
J. P. Perdew and A. Zunger, Phys. Rev. B 23: 5048 (1981).
J. A. Alonso and L. A. Girifalco, Solid State Comm. 24:135 (1977); Phys. Rev. B 17: 3735 (1978).
Gunnarsson, M. Jonson, and B. I. Lundqvist, Solid State Comm. 24:765 (1977); Phys. Rev. B 20: 3136 (1979).
F. Manghi, G. Rieglar, C. M. Bertoni, C. Calandra, and G. B. Bachelet, Phys. Rev. B 28: 6157 (1983).
Gunnarsson and B. I. Lundqvist, Phys. Rev. B 13: 4274 (1976).
Gunnarsson and R. 0. Jones, Phys. Scr. 21: 394 (1980).
Landolt-Bornstein, Zahlenwerte und Funktioned aus Naturwissenschaften und Technik, N.S. Vol. 11117a, Springer-Verlag, New York (1982).
W. E. Spicer and R. C. Eden, Proceedings of the Ninth Interna- tional Conference of the Physics of Semiconductors, Moscow, 1968, Nauka, Leningrad, Vol. 1 (1968), p. 61.
R. Hulthen and N. G. Nilsson, Solid State Comm. 18: 1341 (1976).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer Science+Business Media New York
About this chapter
Cite this chapter
Louie, S.G. (1985). Pseudopotentials and Total Energy Calculations: Applications to Crystal Stability, Vibrational Properties, Phase Transformations, and Surface Structures. In: Devreese, J.T., Van Camp, P. (eds) Electronic Structure, Dynamics, and Quantum Structural Properties of Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0899-8_8
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0899-8_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0901-8
Online ISBN: 978-1-4757-0899-8
eBook Packages: Springer Book Archive