Normal mode spectra of two-dimensional classical atoms confined by a Coulomb potential

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 6 2, 2003, Pages 664051-6640510

  Ferreira, W P ^a,b   Peeters, F M ^a   Farias, G A ^b  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CYCLOTRON RESONANCE; EIGENVALUES AND EIGENFUNCTIONS; LIQUEFIED GASES; MAGNETIC FIELDS; NUMERICAL ANALYSIS; PHASE TRANSITIONS; SPECTRUM ANALYSIS; SURFACE PHENOMENA;

COULOMB POTENTIAL; NORMAL MODE SPECTRA; TWO-DIMENSIONAL CLASSICAL ATOMS;

CHARGED PARTICLES;

EID: 1442311531     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. L. Jacak, P. Hawrylak, and A. Wójs, Quantum Dots (Springer-Verlag, Berlin, 1998).
2. R.S. Crandall and R. Williams, Phys. Lett. A 34, 404 (1971).
3. C.C. Grimes and G. Adams, Phys. Rev. Lett. 42, 795 (1979).
4. M. Golosovsky, Y. Saado, and D. Davidov, Phys. Rev. E 65, 061405 (2002).
5. J.H. Chu and L. I, Phys. Rev. Lett. 72, 4009 (1994).
6. V.M. Bedanov and F.M. Peeters, Phys. Rev. B 49, 2667 (1994).
7. V.A. Schweigert and F.M. Peeters, Phys. Rev. B 51, 7700 (1995).
8. A. Melzer, Phys. Rev. E 67, 016411 (2003).
9. M. Klindworth, A. Melzer, A. Piel, and V.A. Schweigert, Phys. Rev. B 61, 8404 (2000).
10. A. Melzer, M. Klindworth, and A. Piel, Phys. Rev. Lett. 87, 115002 (2001).
11. M. Kong, B. Partoens, and F.M. Peeters, New J. Phys. 5, 23 (2003).
12. G.A. Farias and F.M. Peeters, Solid State Commun. 100, 711 (1996).
13. W.P. Ferreira, G.A. Farias, H.A. Carmona, and F.M. Peeters, Solid State Commun. 122, 665 (2002).
14. R. Bubeck, C. Bechinger, S. Neser, and P. Leiderer, Phys. Rev. Lett. 82, 3364 (1999).
15. K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. 82, 2721 (1999).
16. Weijia Wen, Lingyun Zhang, and Ping Sheng, Phys. Rev. Lett. 85, 5464 (2000).
17. I. Schweigert, V.A. Schweigert, and F.M. Peeters, Phys. Rev. Lett. 84, 4381 (2000).
18. U. Konopka, D. Samsonov, A.V. Ivlev, J. Goree, and V. Steinberg, Phys. Rev. E 61, 1890 (2000).
19. F. Cheung, A. Samarian, and B. James, New J. Phys. 5, 75 (2003).
20. O. Ishihara, T. Kamimura, K.I. Hirose, and N. Sato, Phys. Rev. E 66, 046406 (2002).
21. W.P. Ferreira, A. Matulis, G.A. Farias, and F.M. Peeters, Phys. Rev. E 67, 046601 (2003).
22. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.M. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
23. L. Bonsall and A.A. Maradudin, Phys. Rev. B 15, 1959 (1977).
24. R.S. Crandall, Phys. Rev. B 8, 2136 (1973).
25. Notice that in regions (IV), (V), and (VI) the Coulomb confinement system is in the STC regime and the Coulomb confinement potential may be approximated by a parabolic one.
26. max ≈ 7.92.
27. We investigated numerically clusters with N up to 200.
28. V.A. Schweigert and F.M. Peeters, J. Phys.: Condens. Matter 10, 2417 (1998).
29. D.B. Mast, A.J. Dahm, and A.L. Fetter, Phys. Rev. Lett. 54, 1706 (1985).