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The Full-Potential Electronic Structure Problem and RSPt

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 167))

Abstract

The full-potential methodology is presented in this chapter, with details of how the non-spherical electron density and potential are expanded in the muffintin regions, as well as the interstitial region. Details in the implementation of the full-potential linear muffin-tin orbitals (FP-LMTO) method are presented, with a general definition of the mathematical functions used and the symmetry aspects of these functions. The difference between a minimal, double and triple basis set is described, and numerical tests of the convergence of these basis functions are presented.

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References

  1. T. Bj¨orkman. Magnetic and Structural Properties of f-electron Systems from First Principles Theory. Ph.D. thesis, Uppsala University, Materials Theory, 2009

    Google Scholar 

  2. B. Dritter, M. Weinert, R. Zeller, P.H. Dederichs, Solid State Commun. 79, 31 (1991)

    Article  ADS  Google Scholar 

  3. A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1974)

    Google Scholar 

  4. G.Y. Guo, H. Ebert, W.M. Temmerman, P.J. Durham, Phys. Rev. B 50, 3861 (1994)

    Article  ADS  Google Scholar 

  5. J.D. Jackson, Classical Electrodynamics, 2nd edn. (Wiley, New York, NY, 1975)

    MATH  Google Scholar 

  6. D.D. Koelling, B.N. Harmon, J. Phys. C: Solid State Phys. 10, 3107 (1977)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  8. C. Lanczos, Applied Analysis (Dover Publications Inc., New York, NY, 1988)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  10. R.S. Mulliken, J. Chem. Phys. 23, 1833 (1955)

    Article  ADS  Google Scholar 

  11. D.L. Price, B.R. Cooper, J.M. Wills, Phys. Rev. B 46, 11368 (1992)

    Article  ADS  Google Scholar 

  12. S.Y. Savrasov, G. Kotliar, E. Abrahams, Nature 410, 793 (2001)

    Article  ADS  Google Scholar 

  13. H.L. Skriver, The LMTO Method: Muffin-Tin Orbitals and Electronic Structure (Springer, Berlin, 1983)

    Google Scholar 

  14. M. Springborg, O.K. Andersen, J. Chem. Phys. 87, 7125 (1986)

    Google Scholar 

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

    Google Scholar 

  16. R. Yu, D. Singh, H. Krakauer, Phys. Rev. B 43, 6411 (1991)

    Article  ADS  Google Scholar 

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Correspondence to John M. Wills .

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Wills, J.M., Alouani, M., Andersson, P., Delin, A., Eriksson, O., Grechnyev, O. (2010). The Full-Potential Electronic Structure Problem and RSPt. In: Full-Potential Electronic Structure Method. Springer Series in Solid-State Sciences, vol 167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15144-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-15144-6_6

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  • Print ISBN: 978-3-642-15143-9

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