Spatial ordering of charge and spin in quasi-one-dimensional Wigner molecules

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 3, 2004, Pages

  Szafran, B ^a,b   Peeters, F M ^a   Bednarek, S ^b   Chwiej, T ^a,b   Adamowski, J ^b  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTALLIZATION; ELECTRON; MATHEMATICAL MODEL; MOLECULE; POLARIZATION; QUANTUM THEORY;

EID: 42749103745     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.035401     Document Type: Article

References (30)

1. S. Tarucha, T. Honda, and T Saku, Solid State Commun. 94, 413 (1995).
2. K. J. Thomas, J. T. Nicholls, M. Y. Simmons, M. Pepper, D. R. Mace, and D. A. Ritchie, Phys. Rev. Lett. 77, 135 (1996).
3. A. Yacoby, H. L. Stormer, N. S. Wingreen, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 77, 4612 (1996).
4. A. Bachtold, C. Strunk, J.-P. Salvetat, J.-M. Bonard, L. Forro, T. Nussbaumer, and C. Schonenberger, Nature (London) 397, 673 (1999).
5. L. Jacak, P. Hawrylak, and A. Wójs, Quantum Dots (Springer, Berlin, 1998).
6. S. Viefers, P. Koskinen, P. Singha Deo, and M. Manninen, Physica E (Amsterdam) 21, 1 (2004).
7. M. S. Gudiksen, L. J. Lauhon, J. Wang, D. C. Smith, and C. M. Lieber, Nature (London) 415, 617 (2002).
8. Y. Wu, R. Fan, and P. Yang, Nano Lett. 2, 83 (2002).
9. M. T. Björk, B. J. Ohlsson, T. Sass, A. I. Persson, C. Thelander, M. H. Magnusson, K. Deppert, L. R. Wallenberg, and L. Samuelson, Nano Lett. 2, 82 (2002).
10. F. P. Wigner, Phys. Rev. 46, 1002 (1934).
11. R. Egger, W. Häusler, C. H. Mak, and H. Grabert, Phys. Rev. Lett. 82, 3320 (1999).
12. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002).
13. K. Jauregui, W. Häusler, and B. Kramer, Europhys. Lett. 24, 581 (1993).
14. W. Häusler and B. Kramer, Phys. Rev. B 47, 16 353 (1993).
15. S. Bednarek, T. Chwiej, J. Adamowski, and B. Szafran, Phys. Rev. B 67, 205316 (2003).
16. E. Räsanen, H. Saarikoski, V. N. Stavrou, A. Harju, M. J. Puska, and R. M. Nieminen, Phys. Rev. B 67, 235307 (2003).
17. L. I. Glazman, I. M. Ruzin, and B. I. Shklovskii, Phys. Rev. B 45, 8454 (1992).
18. H. J. Schulz, Phys. Rev. Lett. 71, 1864 (1993).
19. F. Anfuso and S. Eggert, Phys. Rev. B 68, 241301 (2003).
20. G. Piacente, I. V. Schweigert, J. J. Betouras, and F. M. Peeters, Solid State Commun. 128, 57 (2003).
21. S. Bednarek, B. Szafran, T. Chwiej and J. Adamowski, Phys. Rev. B 68, 045328 (2003).
22. M. Koskinen, M. Manninen, B. Mottelson, and S. M. Reimann, Phys. Rev. B 63, 205323 (2001).
23. P. A. Maksym, Phys. Rev. B 53, 10 871 (1996).
24. C. G. Bao, W. Y. Ruan, and Y. Y. Liu, Phys. Rev. B 53, 10 820 (1996).
25. E. B. Kolomeisky and J. P. Straley, Rev. Mod. Phys. 68, 175 (1996).
26. H. Tasaki, J. Phys.: Condens. Matter 10, 4353 (1998).
27. E. Lieb and D. Mattis, Phys. Rev. 125, 164 (1962).
28. S. M. Reimann, M. Koskinen, P. E. Lindelof, and M. Manninen, Physica E (Amsterdam) 2, 648 (1998).
29. N (taking into account the degeneracies with respect to the z component of the total spin) as reported already in Ref. 14. For four and five electrons also higher-energy states for a given spin and parity quantum numbers (not discussed in the present paper) become degenerate with the ground state. We have determined the parity of these states. Namely, the four-electron ground state becomes degenerate with second 1- and 0+ states and the five-electron ground state becomes degenerate with the second 1/2-,3/2-,1/2+, and 3/2+ symmetry states as well as with the third 1/2+ state.
30. A single determinant is sufficient to describe the spin-polarized Wigner molecule formed by N electrons localizated around N space sites. See also the discussion of the electron-electron correlation given in Ref. 15.