Theory of acoustic surface plasmons

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 20, 2004, Pages

  Pitarke, J M ^a,b   Nazarov, V U ^c   Silkin, V M ^b   Chulkov, E V ^a,b   Zaremba, E ^d   Echenique, P M ^a,b  

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

^b DONOSTIA INTERNATIONAL PHYSICS CENTER DIPC   (Spain)

^c Chonnam National University   (South Korea)

^d QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SURFACE PLASMON; ARTICLE; CALCULATION; DENSITY; DISPERSION; ELECTRON; ENERGY; MATHEMATICAL ANALYSIS; OSCILLATION; SURFACE PLASMON RESONANCE; SURFACE PROPERTY;

EID: 42749105813     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.205403     Document Type: Article

References (40)

1. D. Pines, Can. J. Phys. 34, 1379 (1956).
2. See, e.g., N. H. March and M. P. Tosi, Adv. Phys. 44, 299 (1995).
3. A. V. Chaplik, Zh. Eksp. Teor. Fiz. 62, 746 (1972) [Sov. Phys. JETP 35, 395 (1972)].
4. A. V. Chaplik, Zh. Eksp. Teor. Fiz. 62, 746 (1972) [Sov. Phys. JETP 35, 395 (1972)].
5. B. Gumhalter, Surf. Sci. 518, 81 (2002).
6. S. Das Sarma and A. Madhukar, Phys. Rev. B 23, 805 (1981).
7. D. Olego, A. Pinczuk, A. C. Gossard, and W. Wiegmann, Phys. Rev. B 25, 7867 (1982).
8. J. Ruvalds, Phys. Rev. B 35, 8869 (1987); Nature (London) 328, 299 (1987).
9. J. Ruvalds, Phys. Rev. B 35, 8869 (1987); Nature (London) 328, 299 (1987).
10. A. Bill, H. Morawitz, and V. Z. Kresin, Phys. Rev. B 66, 100501 (2002).
11. V. M. Silkin, A. García-Lekue, J. M. Pitarke, E. V. Chulkov, E. Zaremba, and P. M. Echenique, Europhys. Lett. 66, 260 (2004).
12. The sound velocity of this acoustic mode is, however, close to the Fermi velocity of the 2D surface-state band, which is typically a few orders of magnitude larger than the sound velocity of acoustic phonons in metals.
13. J. E. Inglesfield, Rep. Prog. Phys. 45, 223 (1982).
14. D. Pines and P. Nozieres, The Theory of Quantum Liquids (Addison-Wesley, New York, 1989).
15. F. Stern, Phys. Rev. Lett. 18, 546 (1967); T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
16. F. Stern, Phys. Rev. Lett. 18, 546 (1967); T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
17. A. G. Eguiluz, Phys. Rev. Lett. 51, 1907 (1983); Phys. Rev. B 31, 3303 (1985).
18. A. G. Eguiluz, Phys. Rev. Lett. 51, 1907 (1983); Phys. Rev. B 31, 3303 (1985).
19. A. Liebsch, Phys. Rev. B 36, 7378 (1987).
20. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
21. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
22. R. H. Ritchie, Phys. Rev. 106, 874 (1957).
23. J. Lindhard, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 28, 8 (1954).
24. 2D(q,ω) shows that an infinitely large dielectric constant κ yields an effective 2D dielectric function which has no zeros, so that no acoustic plasmon occurs in this model.
25. F should be more appropriate.
26. s = 1.87.
27. eff(q,ω) ] is not necessarily positive definite and may not give the true absorptive response of the combined 2D and 3D systems; however, its resonant structure is a true reflection of the modes of the system.
28. See, e.g., A. Liebsch, Electronic Excitations at Metal Surfaces (Plenum, New York, 1997).
29. P. J. Feibelman, Prog. Surf. Sci. 12, 287 (1982).
30. 0 is chosen sufficiently large for the physical results to be insensitive to the precise value employed.
31. We use the Perdew-Wang [J. P. Perdew and Y. Wang, Phys. Rev. B 46, 12947 (1992)] parametrization of the Ceperley-Alder xc energy of the homogeneous electron gas [D. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980)].
32. We use the Perdew-Wang [J. P. Perdew and Y. Wang, Phys. Rev. B 46, 12947 (1992)] parametrization of the Ceperley-Alder xc energy of the homogeneous electron gas [D. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980)].
33. A. García-Lekue and J. M. Pitarke, Phys. Rev. B 64, 035423 (2001)
34. J. M. Pitarke and A. G. Eguiluz, Phys. Rev. B 57, 6329 (1998); 63, 045116 (2001).
35. J. M. Pitarke and A. G. Eguiluz, Phys. Rev. B 57, 6329 (1998); 63, 045116 (2001).
36. R. H. Ritchie and A. L. Marusak, Surf. Sci. 4, 234 (1966).
37. A. Griffin and J. Harris, Can. J. Phys. 54, 1396 (1976).
38. V. U. Nazarov, Phys. Rev. B 56, 2198 (1997).
39. F has been chosen in such a way that Eq. (42) reproduces the asymptotic behaviour of the full RPA calculation represented in Fig. 4 by a thick solid line.
40. V. M. Silkin, J. M. Pitarke, E. V. Chulkov, and P. M. Echenique (unpublished).