Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T19:45:52.840Z Has data issue: false hasContentIssue false

Introduction to first-principles electronic structure methods: Application to actinide materials

Published online by Cambridge University Press:  03 March 2011

John E. Klepeis*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, California 94551
*
a) Address all correspondence to this author. e-mail: [email protected] This paper was selected as the Outstanding Meeting Paper for the 2005 MRS Fall Meeting Symposium JJ Proceedings, Vol. 893.
Get access

Abstract

This paper provides an introduction for non-experts to first-principles electronic structure methods that are widely used in condensed-matter physics. Particular emphasis is placed on giving the appropriate background information needed to better appreciate the use of these methods to study actinide and other materials. Specifically, the underlying theory is described in sufficient detail to enable an understanding of the relative strengths and weaknesses of the methods. In addition, the meaning of commonly used terminology is explained, including density functional theory (DFT), local density approximation (LDA), and generalized gradient approximation (GGA), as well as linear muffin-tin orbital (LMTO), linear augmented plane wave (LAPW), and pseudopotential methods. Methodologies that extend the basic theory to address specific limitations are also briefly discussed. Finally, a few illustrative applications are presented, including quantum molecular dynamics (QMD) simulations and studies of surfaces, impurities, and defects. The paper concludes by addressing the current controversy regarding magnetic calculations for actinide materials.

Type
Outstanding Meeting Paper
Copyright
Copyright © Materials Research Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Martin, R.M.: Electronic Structure: Basic Theory and Practical Methods (Cambridge University Press, Cambridge, UK, 2004).CrossRefGoogle Scholar
2.Hohenberg, P., Kohn, W.: Inhomogeneous electron gas. Phys. Rev. 136, B864 (1964).CrossRefGoogle Scholar
3.Kohn, W., Sham, L.J.: Self-consistent equations including exchange and correlation effects. Phys. Rev. 140, A1133 (1965).CrossRefGoogle Scholar
4.Yin, M.T., Cohen, M.L.: Theory of static structural properties, crystal stability, and phase transformations: Application to Si and Ge. Phys. Rev. B 26, 5668 (1982).CrossRefGoogle Scholar
5.Söderlind, P., Landa, A.: Crystal stability and equation of state for Am: Theory. Phys. Rev. B 72, 024109 (2005).CrossRefGoogle Scholar
6.Ceperley, D.M., Alder, B.J.: Ground state of the electron gas by a stochastic method. Phys. Rev. Lett. 45, 566 (1980).CrossRefGoogle Scholar
7.Aulber, W.G., Jonsson, L., Wilkins, J.W.: Quasiparticle calculations in solids. Solid State Physics 54, 1 (2000).CrossRefGoogle Scholar
8.Benedict, L.X., Shirley, E.L.: Ab initio calculation of ϵ2(ω) including the electron-hole interaction: Application to GaN and CaF2. Phys. Rev. B 59, 5441 (1999).CrossRefGoogle Scholar
9.Kotliar, G., Vollhardt, D.: Strongly correlated materials: Insights from dynamical mean-field theory. Phys. Today 57(3), 53 (2004).CrossRefGoogle Scholar
10.Held, K., McMahan, A.K., Scalettar, R.T.: Cerium volume collapse: Results from the merger of dynamical mean-field theory and local density approximation. Phys. Rev. Lett. 87, 276404 (2001).CrossRefGoogle ScholarPubMed
11.Dai, X., Savrasov, S.Y., Kotliar, G., Migliori, A., Ledbetter, H., Abrahams, E.: Calculated phonon spectra of plutonium at high temperatures. Science 300, 953 (2003).CrossRefGoogle ScholarPubMed
12.Hood, R.Q. and Yang, L.H.: unpublished.Google Scholar
13.Johnson, D.D., Nicholson, D.M., Pinski, F.J., Györffy, B.L., Stocks, G.M.: Total-energy and pressure calculations for random substitutional alloys. Phys. Rev. B 41, 9701 (1990).CrossRefGoogle ScholarPubMed
14.Landa, A., Söderlind, P., Ruban, A., Vitos, L., Pourovskii, L.: First-principles phase diagram of the Ce-Th system. Phys. Rev. B 70, 224210 (2004).CrossRefGoogle Scholar
15.Söderlind, P., Sadigh, B.: Density-functional calculations of α, β, γ, δ, δ′, and ϵ plutonium. Phys. Rev. Lett. 92, 185702 (2004).CrossRefGoogle ScholarPubMed