Symmetry breaking and the random-phase approximation in small quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 3, 2003, Pages 353411-3534110

  Serra, Llorenç ^a   Nazmitdinov, Rashid G ^a,b   Puente, Antonio ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; IONIC STRENGTH; MOLECULAR INTERACTION; PHASE TRANSITION; QUANTUM MECHANICS; VALIDATION PROCESS;

EID: 0344739782     PISSN: 10980121     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (37)

1. D. Pines, The Many-Body Problem (Addison-Wesley, Reading, 1997).
2. D. J. Rowe, Nuclear Collective Motion (Methuen, London, 1970).
3. G. F. Bertsch and K. Hagino, Yad. Fiz. 64, 646 (2001) [Phys. Part. Nucl. 64, 588 (2001)]; R. G. Nazmitdinov, D. Almehed, and F. Dönau, Phys. Rev. C 65, 041307(R) (2002); C. W. Johnson and I. Stetcu, ibid. 66, 064304 (2002).
4. G. F. Bertsch and K. Hagino, Yad. Fiz. 64, 646 (2001) [Phys. Part. Nucl. 64, 588 (2001)]; R. G. Nazmitdinov, D. Almehed, and F. Dönau, Phys. Rev. C 65, 041307(R) (2002); C. W. Johnson and I. Stetcu, ibid. 66, 064304 (2002).
5. G. F. Bertsch and K. Hagino, Yad. Fiz. 64, 646 (2001) [Phys. Part. Nucl. 64, 588 (2001)]; R. G. Nazmitdinov, D. Almehed, and F. Dönau, Phys. Rev. C 65, 041307(R) (2002); C. W. Johnson and I. Stetcu, ibid. 66, 064304 (2002).
6. G. F. Bertsch and K. Hagino, Yad. Fiz. 64, 646 (2001) [Phys. Part. Nucl. 64, 588 (2001)]; R. G. Nazmitdinov, D. Almehed, and F. Dönau, Phys. Rev. C 65, 041307(R) (2002); C. W. Johnson and I. Stetcu, ibid. 66, 064304 (2002).
7. D. C. Langreth and J. P. Perdew, Phys. Rev. B 15, 2884 (1977).
8. M. Brack, Rev. Mod. Phys. 65, 677 (1993).
9. F. Furche, Phys. Rev. B 64, 195120 (2001).
10. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002).
11. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, New York, 1980).
12. J. P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT, Cambridge, MA, 1986).
13. C. Yannouleas and U. Landman, J. Phys.: Condens. Matter 14, L591 (2002); Phys. Rev. B 66, 115315 (2002)
14. C. Yannouleas and U. Landman, J. Phys.: Condens. Matter 14, L591 (2002); Phys. Rev. B 66, 115315 (2002)
15. M. Wagner, U. Merkt, and A. V. Chaplik, Phys. Rev. B 45, 1951 (1992).
16. C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999).
17. L. Jacak, P. Hawrylak, and A. Wojs, Quantum Dots (Springer, Berlin, 1998).
18. 2 symmetry restoration in the present work. Involving a two-body operator, this symmetry is not automatically included in the RPA. It can be dealt, however, with projection methods (Ref. 10).
19. We learned from, one of the referees that this approach is known in quantum chemistry as the Berthier-Pople-Nesbet equations; see G. Berthier, C R. Acad. Sci. III 238, 91 (1954); J. A. Pople and R. K. Nesbet, J. Chem. Phys. 22, 571 (1954).1
20. We learned from, one of the referees that this approach is known in quantum chemistry as the Berthier-Pople-Nesbet equations; see G. Berthier, C R. Acad. Sci. III 238, 91 (1954); J. A. Pople and R. K. Nesbet, J. Chem. Phys. 22, 571 (1954).1
21. T. Chakraborty, Quantum Dots: A Survey of the Properties of Artificial Atoms (North-Holland, Amsterdam, 1999).
22. F. Pederiva, C. J. Umrigar, and E. Lipparini, Phys. Rev. B 62, 8120 (2000).
23. S. Tarucha, D.G. Austing, T. Honda, R. J. van der Hage, and L. P. Kouwenhoven, Phys. Rev. Lett. 77, 3613 (1996).
24. D. J. Thouless, Nucl. Phys. 21, 225 (1960); ibid. 22, 78 (1961).
25. D. J. Thouless, Nucl. Phys. 21, 225 (1960); ibid. 22, 78 (1961).
26. E. R. Marshalek and J. Weneser, Ann. Phys. (N.Y.) 53, 569 (1969).
27. D. J. Thouless and J. G. Valatin, Nucl. Phys. 31, 211 (1962).
28. E. Lipparini, N. Barberan, M. Barranco, M. Pi, and Ll. Serra, Phys. Rev. B 56, 12375 (1997); Ll. Serra, M. Barranco, A. Emperador, M. Pi, and E. Lipparini, ibid. 59, 15 290 (1999).
29. E. Lipparini, N. Barberan, M. Barranco, M. Pi, and Ll. Serra, Phys. Rev. B 56, 12375 (1997); Ll. Serra, M. Barranco, A. Emperador, M. Pi, and E. Lipparini, ibid. 59, 15 290 (1999).
30. 2 dependence for the lowest state of each angular momentum, i.e., of the yrast band. We believe this could explain similar deviations found in the exact calculations of Ref. 24 as well as the appearance of the so-called magic angular momenta.25 A more detailed analysis of this effect is planned for a future work.
31. C. Yannouleas and U. Landman, Phys. Rev. Lett. 85, 1726 (2000).
32. W. Y. Ruan, Y. Y. Liu, C. G. Bao, and Z. Q. Zhang, Phys. Rev. B 51, 7942 (1995); P. A. Maksym, ibid. 53, 10 871 (1996).
33. W. Y. Ruan, Y. Y. Liu, C. G. Bao, and Z. Q. Zhang, Phys. Rev. B 51, 7942 (1995); P. A. Maksym, ibid. 53, 10 871 (1996).
34. N. S. Simonović and R. G. Nazmitdinov, Phys. Rev. B 67, 041305(R) (2003).
35. D. J. Rowe, Phys. Rev. 175, 1283 (1968).
36. P.-G. Reinhard, Phys. Lett. A 169, 281 (1992).
37. H.-M. Müller and S. E. Koonin, Phys. Rev. B 54, 14 532 (1996).