Skip to main content

Full-Potential LMTO Total Energy and Force Calculations

  • Conference paper
  • First Online:
Electronic Structure and Physical Properies of Solids

Part of the book series: Lecture Notes in Physics ((LNP,volume 535))

Abstract

The essential features of a full potential electronic structure method using Linear Muffin-Tin Orbitals (LMTOs) are presented. The electron density and potential in the this method are represented with no inherent geometrical approximation. This method allows the calculation of total energies and forces with arbitrary accuracy while sacrificing much of the efficiency and physical content of approximate methods such as the LMTO-ASA method.

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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. B 12, 3060 (1988), and references therein.

    Article  ADS  Google Scholar 

  2. H. L. Skriver, The LMTO method (Springer-Verlag, Berlin, 1984).

    Google Scholar 

  3. J. M. Wills (unpublished); J. M. Wills and B. Cooper, Phys. Rev. B 36, 389 (1987).

    Google Scholar 

  4. M. Springborg and O. K. Andersen, J. Chem. Phys. 87, 7125, (1987).

    Article  ADS  Google Scholar 

  5. M. Methfessel, Phys. Rev. B 38, 1537 (1988).

    Article  ADS  Google Scholar 

  6. K. H. Weyrich, Phys. Rev. B 37, 10269 (1987).

    Article  ADS  Google Scholar 

  7. S. Savrasov and D. Savrasov, Phys. Rev. B 46, 12181 (1992).

    Article  ADS  Google Scholar 

  8. M. Tischer, O. Hjortstam, D. Arvanitis, J. Hunter Dunn, F. May, K. Baberschke, J. Trygg, J. M. Wills, B. Johansson, and O. Eriksson, Phys. Rev. Lett. 75, 1602, (1995); O. Hjortstam, J. Trygg, J. M. Wills, B. Johansson, and O. Eriksson, Phys. Rev. B 53, 9204, (1996).

    Article  ADS  Google Scholar 

  9. J. D. Jackson, Classical Electrodynamics, John Wiley and Sons, (New York, 1978).

    Google Scholar 

  10. J. Korringa, Physica 13, 392 (1947); W. Kohn and N. Rostoker, Phys. Rev. 94, 1111 (1954).

    Article  ADS  MathSciNet  Google Scholar 

  11. J. M. Wills, O. Eriksson, and A. M. Boring, Phys. Rev. Lett. 67, 2215 (1991); M. Alouani, R.C. Albers, J. M. Wills, and M. Springborg, Phys. Rev. Lett. 69, 3104, (1992), M. Alouani, J. W. Wilkins, R.C. Albers, and J. M. Wills, ibid., 71, 1415 (1993); M. Alouani and J. M. Wills, Phys. Rev. B 54, 2480 (1996); R. Ahuja et al., ibid. 55, 4999 (1996).

    Article  ADS  Google Scholar 

  12. M. Weinert, J. Math. Phys. 22, 2433 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  13. C. Lanczos, Applied Analysis, Dover Publications Inc., New York, 1988.

    Google Scholar 

  14. A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, 1974.

    Google Scholar 

  15. R. Yu, D. Singh, and H. Krakauer, Phys. Rev. B43, 6411 (1991).

    Article  ADS  Google Scholar 

  16. G. H. Kwei, A. C. Lawson, S. J. L. Billinge, and S.-W. Cheong, J. Phys. Chem. 97, 2368 (1993).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wills, J.M., Eriksson, O., Alouani, M., Price, D.L. (1999). Full-Potential LMTO Total Energy and Force Calculations. In: Dreyssé, H. (eds) Electronic Structure and Physical Properies of Solids. Lecture Notes in Physics, vol 535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46437-9_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-46437-9_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67238-8

  • Online ISBN: 978-3-540-46437-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics