Skip to main content

Canonical Band Theory

  • Chapter
The LMTO Method

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 41))

Abstract

It is the concept of canonical bands which raises the LMTO method above the level of being just a new procedure for calculating energy-band structures. We shall therefore immediately give an account of the principles behind canonical band theory based upon the so-called KKR-ASA equations. The important ingredients are volume-and energy-independent structure constants, and parameters which contain information relating to the one-electron potential. When brought together, these quantities completely specify the energy-band structure of a given material in a given crystal structure. This canonical description, valid for closely packed crystalline solids, gives a physically simple picture of energy-band formation. In addition, it gives rise to a convenient scaling principle for state densities and it allows for analytic model calculations which may be used to understand, for instance, cohesive and magnetic properties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O.K. Andersen: Phys. Rev.B12, 3060 (1975)

    ADS  Google Scholar 

  2. O.K. Andersen, O. Jepsen: PhysicaB91, 317 (1977)

    Google Scholar 

  3. A.R. Mackintosh, O.K. Andersen: “The Electronic Structure of Transition Metals”, in Electrons at the Fermi Surface, ed. by M. Springford (University Press, Cambridge 1980) p.149

    Google Scholar 

  4. O.K. Andersen: Solid State Commun.13, 133 (1973)

    Article  ADS  Google Scholar 

  5. O.K. Andersen: “Electronic Structure of Metals” in Troisieme Cycle de la Physique en Suisse Romande (Geneve 1978) unpublished

    Google Scholar 

  6. P.M. Holtham, J.-P. Jan, H.L. Skriver: J. Phys.F7, 957 (1977)

    ADS  Google Scholar 

  7. H.L. Skriver: Phys. Rev.B14, 5187 (1976)

    ADS  Google Scholar 

  8. H.L. Skriver: Phys. Rev.B15, 1894 (1977)

    ADS  Google Scholar 

  9. J.-P. Jan, H.L. Skriver: J. Phys.F7, 1719 (1977)

    Article  ADS  Google Scholar 

  10. A.E. Dunsworth, J.-P. Jan, H.L. Skriver: J. Phys.F8, 1427 (1978)

    Article  ADS  Google Scholar 

  11. A.E. Dunsworth, J.-P. Jan, H.L. Skriver: J. Phys.F9, 261 (1979)

    Article  ADS  Google Scholar 

  12. H.L. Skriver, J.-P. Jan: Phys. Rev.B21, 1439 (1980)

    ADS  Google Scholar 

  13. L. Hodges, H. Ehrenreich, R.E. Watson: Phys. Rev.BS, 3953 (1972)

    ADS  Google Scholar 

  14. H.L. Skriver: J. Phys.F11, 97 (1981)

    Article  ADS  Google Scholar 

  15. O.K. Andersen: New methods for the one-electron problem. Europhys. News12, 4 (1981)

    Google Scholar 

  16. O.K. Andersen: “Linear Methods in Band Theory”, inThe Electronic Structure of Complex Systems, ed. by P. Phariseau, NATO ASI series (Plenum, New York 1983)

    Google Scholar 

  17. O.K. Andersen, W. Klose, H. Nohl: Phys. Rev.B17, 1209 (1978)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Skriver, H.L. (1984). Canonical Band Theory. In: The LMTO Method. Springer Series in Solid-State Sciences, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81844-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-81844-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81846-2

  • Online ISBN: 978-3-642-81844-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics