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The pseudopotential panacea

JUL 01, 1979
Potentials for describing the behavior of valence electrons in solids have considerably advanced our understanding of real materials, including their optical spectra, bonding, superconductivity and surfaces.
Marvin L. Cohen

Webster’s dictionary defines panacea as a “remedy for all ills or difficulties; a cure‐all.” A pseudopotential is an approximation to the real potential an electron feels in a solid. In what sense can it be called a cure‐all? What are the ills it cures, the difficulties it overcomes or the problems it solves? And how does it help solve problems? Our object here will be to supply some answers to these questions and to describe the growing influence of theories involving pseudopotentials on solid state or condensed matter physics.

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References

  1. 1. A review of pseudopotential research is given in: M. L. Cohen, V. Heine, Solid State Physics 24, 37 (1970), as well as in references 2, 3 and 4.https://doi.org/SSPHAE

  2. 2. W. A. Harrison, Pseudopotentials in the Theory of Metals, Benjamin, New York (1966).

  3. 3. C. Kittel, Introduction to Solid State Physics, 5th ed., Wiley, New York (1976).

  4. 4. J. C. Phillips, Bonds and Bands in Semiconductors, Academic, New York (1973).

  5. 5. C. Herring, Phys. Rev. 57, 1169 (1940).https://doi.org/PHRVAO

  6. 6. J. C. Phillips, L. Kleinman, Phys. Rev. 116, 287 (1959).https://doi.org/PHRVAO

  7. 7. M. L. Cohen, Science 179, 1189 (1973).https://doi.org/SCIEAS

  8. 8. M. Schluter, J. R. Chelikowsky, S. G. Louie, M. L. Cohen, Phys. Rev. B12, 4200 (1975).https://doi.org/PRBMDO

  9. 9. J. R. Chelikowsky, M. L. Cohen, Phys. Rev. B14, 556 (1976).https://doi.org/PRBMDO

More about the authors

Marvin L. Cohen, University of California, Berkeley.

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This Content Appeared In
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Volume 32, Number 7

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