First-principles calculation of the electron inelastic mean free path in Be metal

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 20, 2003, Pages

  Silkin, V M ^a   Chulkov, E V ^a,b   Echenique, P M ^a,b  

^a DONOSTIA INTERNATIONAL PHYSICS CENTER DIPC   (Spain)

^b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BERYLLIUM;

AB INITIO CALCULATION; ARTICLE; ELASTICITY; ELECTRON; ELECTRON TRANSPORT; ENERGY; MOLECULAR PHYSICS; PREDICTION; THEORY; VELOCITY;

EID: 11844300651     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.205106     Document Type: Article

References (59)

1. C.J. Powell, Surf. Sci. 44, 29 (1974).
2. C.J. Powell and A. Jablonski, J. Phys. Chem. Ref. Data 28, 19 (1999), and references therein.
3. J.J. Quinn and R.A. Ferrell, Phys. Rev. 112, 812 (1958).
4. R.H. Ritchie, Phys. Rev. 114, 644 (1959).
5. J.J. Quinn, Phys. Rev. 126, 1453 (1962).
6. R.H. Ritchie and J.C. Ashley, J. Phys. Chem. Solids 26, 1689 (1965).
7. L. Kleinman, Phys. Rev. B 3, 2982 (1971).
8. C.A. Kukkonen and A.W. Overhauser, Phys. Rev. 20, 550 (1979).
9. D.R. Penn, Phys. Rev. B 22, 2677 (1980).
10. B.I. Lundqvist, Phys. Status Solidi 32, 273 (1969).
11. J.C. Shelton, Surf. Sci. 44, 305 (1974).
12. J.C. Ashley and R.H. Ritchie, Phys. Status Solidi B 62, 253 (1974);
13. Phys. Status Solidi B J.C. Ashley R.H. Ritchie 83, K159 (1977).
14. J.C. Ashley, C.J. Tung, and R.H. Ritchie, Surf. Sci. 81, 409 (1979).
15. C.J. Tung, J.C. Ashley, and R.H. Ritchie, Surf. Sci. 81, 427 (1979).
16. D.R. Penn, Phys. Rev. B 35, 482 (1987).
17. J.J. Quinn, Appl. Phys. Lett. 2, 167 (1963).
18. E. Zarate, P. Apell, and P.M. Echenique, Phys. Rev. B 60, 2326 (1999).
19. D.R. Penn, S.P. Apell, and S.M. Girvin, Phys. Rev. B 32, 7753 (1985).
20. H.-J. Drouhin, Phys. Rev. B 56, 14886 (1997).
21. J. Hong and D.L. Mills, Phys. Rev. B 59, 13840 (1999).
22. I. Campillo, J.M. Pitarke, A. Rubio, E. Zarate, and P.M. Echenique, Phys. Rev. Lett. 83, 2230 (1999).
23. W.-D. Schöne, R. Keyling, M. Bandić, and W. Ekardt, Phys. Rev. B 60, 8616 (1999).
24. I. Campillo, V.M. Silkin, J.M. Pitarke, E.V. Chulkov, A. Rubio, and P.M. Echenique, Phys. Rev. B 61, 13484 (2000).
25. R. Keyling, W.-D. Schöne, and W. Ekardt, Phys. Rev. B 61, 1670 (2000).
26. V.P. Zhukov, F. Aryasetiawan, E.V. Chulkov, I.G. de Gurtubay, and P.M. Echenique, Phys. Rev. B 64, 195122 (2001).
27. V.P. Zhukov, F. Aryasetiawan, E.V. Chulkov, and P.M. Echenique, Phys. Rev. B 65, 115116 (2002).
28. J.S. Dolado, V.M. Silkin, M.A. Cazalilla, A. Rubio, and P.M. Echenique, Phys. Rev. B 64, 195128 (2001).
29. A. Fleszar and W. Hanke, Phys. Rev. B 56, 10228 (1997).
30. A. Fleszar and W. Hanke, Phys. Rev. B 62, 2466 (2000).
31. E.E. Krasovskii, W. Schattke, V.N. Strocov, and R. Claessen, Phys. Rev. B 66, 235403 (2002).
32. G.K. Wertheim, D.M. Riffe, N.V. Smith, and P.H. Citrin, Phys. Rev. B 46, 1955 (1992).
33. L.I. Johansson and B.E. Sernelius, Phys. Rev. B 50, 16817 (1994).
34. R.A. Bartynski, E. Jensen, T. Gustafsson, and E.W. Plummer, Phys. Rev. B 32, 1921 (1985).
35. E.V. Chulkov, V.M. Silkin, and E.N. Shirykalov, Surf. Sci. 188, 287 (1987).
36. V.M. Silkin and E.V. Chulkov, Fiz. Tverd. Tela. (St. Petersburg) 37, 2795 (1995).
37. [Phys. Solid State 37, 1540 (1995)];
38. Ph. Hofmann, R. Stumpf, V.M. Silkin, E.V. Chulkov, and E.W. Plummer, Surf. Sci. 355, L278 (1996);
39. T. Balasubramanian, L.I. Johansson, P.-A. Glans, C. Virojanadara, V.M. Silkin, E.V. Chulkov, and P.M. Echenique, Phys. Rev. B 64, 205401 (2001).
40. L.I. Johansson, H.I.P. Johansson, J.N. Andersen, E. Lundgren, and R. Nyholm, Phys. Rev. Lett. 71, 2453 (1993);
41. E.W. Plummer and J.B. Hannon, Prog. Surf. Sci. 46, 149 (1994);
42. P.T. Sprunger, L. Petersen, E.W. Plummer, E. Laegsgaard, and F. Besenbacher, Science 275, 1764 (1997);
43. T. Balasubramanian, E. Jensen, X.L. Wu, and S.L. Hulbert, Phys. Rev. 57, 6866(R) (1998).
44. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
45. L. Hedin and B.I. Lundqvist, J. Phys. C 4, 2064 (1971).
46. V.M. Silkin, E.V. Chulkov, I.Yu. Sklyadneva, and V.E. Panin, Izv. Vuzov. Fiz. 9, 56 (1984).
47. [Sov. Phys. J. 27, 762 (1984)];
48. E.V. Chulkov, V.M. Silkin, and E.N. Shirykalov, Fiz. Met. Metalloved. 64, 213 (1987).
49. [Phys. Met. Metallogr. 64, 1 (1987)].
50. V.M. Amonenko, V.Y. Ivanov, G.F. Tikhinskiy, and A. Finkel, Fiz. Met. Metalloved.
51. [Phys. Met. Metallogr. 14, 47 (1962)].
52. nk is unity.
53. L. Hedin and S. Lundqvist, Solid State Phys. 23, 1 (1969).
54. P.M. Echenique, J.M. Pitarke, E.V. Chulkov, and A. Rubio, Chem. Phys. 251, 1 (2000).
55. N.E. Maddocks, R.W. Godby, and R.J. Needs, Phys. Rev. B 49, 8502 (1994).
56. nk and the group velocity (Formula presented) are separately averaged over the momenta. In the FEG model both methods give identical results. With the use of crystal band structure they should be different. Nevertheless, in the case of Be the final results are not sensitive to the mode of averaging (in the scale of the presented figures both methods give the same curves). Therefore, for clarity of representation, here we use the second method.
57. P. Eisenberger, P.M. Platzman, and K.C. Pandy, Phys. Rev. Lett. 31, 311 (1973).
58. W. Schülke, H. Nagasawa, S. Mourikis, and A. Kaprolat, Phys. Rev. B 40, 12215 (1989).
59. K.W.-K. Shung, B.E. Sernelius, and G.D. Mahan, Phys. Rev. B 36, 4499 (1987).