Skip to main content

Towards Accurate and Large-Scale Density-Functional Calculations with the Korringa–Kohn–Rostoker Method

  • Conference paper
  • First Online:
Multiple Scattering Theory for Spectroscopies

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 204))

  • 769 Accesses

Abstract

Development of advanced 21st century applications profits increasingly from a basic quantum-mechanical understanding of material properties. Often, density-functional theory is used to reduce the work to the solution of simple effective one-particle equations. Nevertheless, for all but the smallest systems, considerable computer resources are required and accurate calculations for large systems are difficult. One attempt to overcome this problem is kkrnano, a computer code recently developed in Jülich, which is based on the multiple-scattering Korringa–Kohn–Rostoker (KKR) Green-function method. In the present contribution it will be described how this code enables to treat systems with many thousand atoms and how the use of non-local angular projection potentials provides new insight for obtaining accurate forces and total energies.

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 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
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

References

  1. E. Wigner, F. Seitz, Phys. Rev. 43, 804–810 (1933)

    Article  ADS  Google Scholar 

  2. N. Papanikolaou, R. Zeller, P.H. Dederichs, J. Phys. Condens. Matter 14, 2799–2823 (2002)

    Article  ADS  Google Scholar 

  3. R. Zeller, J. Phys. Condens. Matter 20, 294215 (2008)

    Article  Google Scholar 

  4. A. Thiess, R. Zeller, M. Bolten, P.H. Dederichs, S. Blügel, Phys. Rev. B 85, 235103 (2012)

    Google Scholar 

  5. K. Wildberger, P. Lang, R. Zeller, P.H. Dederichs, Phys. Rev. B 52, 11502 (1995)

    Article  ADS  Google Scholar 

  6. R.W. Freund, SIAM, J. Sci. Comput. 14, 470–482 (1993)

    Article  MathSciNet  Google Scholar 

  7. R. Zeller, P.H. Dederichs, B. Újfalussy, L. Szunyogh, P. Weinberger, Phys. Rev. B 52, 8807–8812 (1995)

    Article  ADS  Google Scholar 

  8. R. Zeller, J. Phys. C 20, 2347–2360 (1987)

    Article  ADS  Google Scholar 

  9. R. Zeller, J. Phys. Condens. Matter 25, 105505 (2013)

    Article  ADS  Google Scholar 

  10. R. Zeller, J. Phys. Condens. Matter 27, 306301 (2015)

    Article  Google Scholar 

  11. D.M.C. Nicholson, W.A. Shelton, J. Phys. Condens. Matter 14, 5601–5608 (2002)

    Article  ADS  Google Scholar 

  12. A. Alam, S.N. Khan, B.G. Wilson, D.D. Johnson, Phys. Rev. B 85, 045105 (2011)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author gratefully thanks P.F. Baumeister, S. Blügel, M. Bolten, M. Bornemann, P.H. Dederichs, T. Hater, T. Fukushima, R. Kováčik, M. Ogura, D. Pleiter, E. Rabel, A. Thiess, I. Yafneh, who have contributed to the development of kkrnano, and acknowledges computing time granted by the JARA-HPC Vergabegremium and provided on the JARA-HPC Partition part of the supercomputer JUQUEEN at Forschungszentrum Jülich.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rudolf Zeller .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zeller, R. (2018). Towards Accurate and Large-Scale Density-Functional Calculations with the Korringa–Kohn–Rostoker Method. In: Sébilleau, D., Hatada, K., Ebert, H. (eds) Multiple Scattering Theory for Spectroscopies. Springer Proceedings in Physics, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-73811-6_17

Download citation

Publish with us

Policies and ethics