Electron-Positron Interaction in Metals. Theory and Experiment

• Authors: H. Stachowiak , E. Boroński
• Languages of publication: EN

Abstracts

EN

The electron-positron interaction greatly complicates the interpretation of positron annihilation data. The two-detector Doppler measurements of Mijnarends et al. as well as our theoretical calculations point at the conclusion that the local density approximation to e^+-e^- interaction is a good way of treating this problem in real metals, at least the simplest ones. This shows that e^+-e^- interaction in an electron gas is the key to understanding this phenomenon also in inhomogeneous systems. On the basis of dozens of experiments one comes to the conclusion that the well known formula of Boroński and Nieminen for the electron accumulation on the positron in jellium describes the best the positron lifetimes in metals. However, it is based on the calculations of Lantto which start from a physically oversimplified trial function. The results of Arponen and Pajanne, of Rubaszek and Stachowiak, and of Stachowiak and Lach lead to too short positron lifetimes in spite of using less controversial assumptions. The discrepancy is of the order of 8 to 15% for r_s=2. This shows that we still do not fully understand e^+-e^- interaction even in an electron gas.

Keywords

EN

71.60.+z; 78.70.Bj

Discipline

• 78.70.Bj: Positron annihilation(for positron states, see 71.60.+z in electronic structure of bulk materials; for positronium chemistry, see 82.30.Gg in physical chemistry and chemical physics)
• 71.60.+z: Positron states(for positron annihilation, see 78.70.Bj)

• Journal: Acta Physica Polonica A
• Year: 2005
• Volume: 107
• Issue: 4
• Pages: 541-553

Dates

published

2005-04

received

2004-09-20

Contributors

author

H. Stachowiak

• W. Trzebiatowski Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

author

E. Boroński

• W. Trzebiatowski Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

References

• 1. P.E. Mijnarends, A.C. Kruseman, A. van Veen, H. Schut, A. Bansil, J. Phys. Condens. Matter, 10, 10383, 1998
• 2. H. Stachowiak, E. Boroński, G. Banach, Mater. Sci. Forum, 363-365, 615, 2001
• 3. H. Stachowiak, E. Boroński, http://aps.arxiv.org /abs/cond-mat/0402478, to be published
• 4. H. Stachowiak, A. Rubaszek, in: Positrons at Metallic Surfaces, Solid State Phenomena, Vol. 28-29, Ed. A. Ishii, Trans. Tech. Publ., Aedermannsdorf 1993, p. 7
• 5. S. Kahana, Phys. Rev., 129, 1622, 1963
• 6. J.P. Carbotte, S. Kahana, Phys. Rev., 139, A213, 1965
• 7. Positron Solid State Physics, Eds. W. Brandt, A. Dupasquier, North-Holland, Amsterdam 1983
• 8. A. Rubaszek, H. Stachowiak, Phys. Rev. B, 38, 3846, 1988
• 9. H. Sormann, Phys. Rev. B, 54, 4558, 1996
• 10. J. Arponen, E. Pajanne, Ann. Phys.(N.Y.), 121, 343, 1979; J. Arponen, E. Pajanne, J. Phys. F, 9, 2359, 1979
• 11. L. Lantto, Phys. Rev. B, 36, 5160, 1987
• 12. A. Kallio, P. Pietilainen, L. Lantto, Phys. Scr., 25, 943, 1982; L. Lantto, private communication
• 13. P. Pietilainen, A. Kallio, Phys. Rev. B, 27, 224, 1983
• 14. J. Gondzik, H. Stachowiak, J. Phys. C, 18, 5399, 1985
• 15. H. Stachowiak, E. Boroński, in: Proc. 34 Polish Seminar on Positron Annihilation, Turawa (Poland) 2002, Ed. K. Jerie, University of Opole, University of Wroclaw, Opole 2002, p. 75
• 16. H. Stachowiak, Phys. Rev. B, 41, 12522, 1990
• 17. H. Stachowiak, J. Lach, Phys. Rev. B, 48, 9828, 1993
• 18. C.K. Majumdar, Phys. Rev., 140, A227, 1965
• 19. A. Klein, R.E. Prange, Phys. Rev., 112, 1008, 1958
• 20. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics, Wiley, New York 1975
• 21. E. Boroński, R.M. Nieminen, Phys. Rev. B, 34, 3820, 1986
• 22. L.M. Fraser, Ph.D. thesis, The Blackett Laboratory, University of London, 1995 (www.sst.ph.ic.ac.uk/research/theses/L.M.Fraser.pdf)
• 23. J.G. Zabolitzky, Phys. Rev. B, 22, 2353, 1980
• 24. B. Barbiellini, M.J. Puska, T. Torsti, R.M. Nieminen, Phys. Rev. B, 51, 7341, 1995; B. Barbiellini, M.J. Puska, T. Korhonen, A. Harju, T. Torsti, R.M. Nieminen, Phys. Rev. B, 53, 16201, 1996
• 25. D.N. Lowy, A.D. Jackson, Phys. Rev. B, 12, 1689, 1975; D.N. Lowy, Phys. Rev., 26, 60, 1982
• 26. A. Seeger, F. Banhart, W. Bauer, in: Positron Annihilation, Eds. L. Dorikens-Vanpraet, M. Dorikens, D. Segers, World Scientific, Singapore 1989, p. 275
• 27. A. Baranowski, E. Debowska, Appl. Phys. A, 51, 23, 1990
• 28. A. Rubaszek, Z. Szotek, W.M. Temmerman, Phys. Rev. B, 58, 11285, 1998
• 29. P. Blaha, K. Schwarz, P. Dufek, R. Augustyn, WIEN95, Technical University of Vienna, 1995 (improved and updated Unix version of the original copyrighted WIEN-code, which was published by P. Blaha, K. Schwarz, P. Sorantin, S.B. Trickey, in Comput. Phys. Commun., 59, 399, 1990)

Identifiers

DOI

10.12693/APhysPolA.107.541