Quantum Monte Carlo study of few-electron concentric double quantum rings

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 12, 2009, Pages

  Colletti, Leonardo ^a,b   Malet, Francesc ^c   Pi, Marti ^c   Pederiva, Francesco ^d,e  

^a INFN TIFPA   (Italy)

^b FREE UNIVERSITY OF BOZEN BOLZANO   (Italy)

^c UNIVERSITY OF BARCELONA   (Spain)

^d UNIVERSITY OF TRENTO   (Italy)

^e DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64849093534     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.125315     Document Type: Article

References (55)

1. L. Jacak, P. Hawrylak, and A. Wójs, Quantum Dots (Springer, Berlin, 1998).
2. T. Chakraborty, Quantum Dots (Elsevier, Amsterdam, 1999).
3. D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, Londres, 2001).
4. E. Lipparini, Modern Many-Particle Physics (World Scientific, Singapore, 2008).
5. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002). 10.1103/RevModPhys.74.1283
6. T. Mano, T. Kuroda, S. Sanguinetti, T. Ochiai, T. Tateno, J. Kim, T. Noda, M. Kawabe, K. Sakoda, G. Kido, and N. Koguchi, Nano Lett. 5, 425 (2005). 10.1021/nl048192+
7. T. Kuroda, T. Mano, T. Ochiai, S. Sanguinetti, K. Sakoda, G. Kido, and N. Koguchi, Phys. Rev. B 72, 205301 (2005). 10.1103/PhysRevB.72.205301
8. A. Mühle, W. Wegscheider, and R. J. Haug, Appl. Phys. Lett. 91, 133116 (2007). 10.1063/1.2790828
9. R. C. Ashoori, H. L. Stormer, J. S. Weiner, L. N. Pfeiffer, S. J. Pearton, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 68, 3088 (1992). 10.1103/PhysRevLett.68.3088
10. S. Tarucha, D. G. Austing, T. Honda, R. J. van der Hage, and L. P. Kouwenhoven, Phys. Rev. Lett. 77, 3613 (1996) 10.1103/PhysRevLett.77.3613
11. F. Pederiva, C. J. Umrigar, and E. Lipparini, Phys. Rev. B 62, 8120 (2000) 10.1103/PhysRevB.62.8120
12. F. Pederiva, C. J. Umrigar, and E. Lipparini, Phys. Rev. B 68, 089901 (E) (2003) 10.1103/PhysRevB.68.089901
13. L. Colletti, F. Pederiva, E. Lipparini, and C. J. Umrigar, Eur. Phys. J. B 27, 385 (2002). 10.1140/epjb/e2002-00169-x
14. A. D. Güclü, A. Ghosal, C. J. Umrigar, and H. U. Baranger, Phys. Rev. B 77, 041301 (R) (2008). 10.1103/PhysRevB.77.041301
15. R. Egger, W. Häusler, C. H. Mak, and H. Grabert, Phys. Rev. Lett. 82, 3320 (1999). 10.1103/PhysRevLett.82.3320
16. V. Halonen, P. Pietiläinen, and T. Chakraborty, Europhys. Lett. 33, 377 (1996). 10.1209/epl/i1996-00350-5
17. M. Aichinger, S. A. Chin, E. Krotscheck, and E. Räsänen, Comput. Mater. Sci. 34, 188 (2005). 10.1016/j.commatsci.2004.11.002
18. A. Fuhrer, S. Lüscher, T. Ihn, T. Heinzel, K. Ensslin, W. Wegscheider, and M. Bichler, Nature (London) 413, 822 (2001). 10.1038/35101552
19. F. R. Waugh, M. J. Berry, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Phys. Rev. Lett. 75, 705 (1995) 10.1103/PhysRevLett.75.705
20. T. Schmidt, R. J. Haug, K. v. Klitzing, A. Förster, and H. Lüth, Phys. Rev. Lett. 78, 1544 (1997) 10.1103/PhysRevLett.78.1544
21. G. Schedelbeck, W. Wegscheider, M. Bichler, and G. Abstreiter, Science 278, 1792 (1997) 10.1126/science.278.5344.1792
22. R. H. Blick, D. Pfannkuche, R. J. Haug, K. v. Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998) 10.1103/PhysRevLett.80.4032
23. M. Brodsky, N. B. Zhitenev, R. C. Ashoori, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 85, 2356 (2000) 10.1103/PhysRevLett.85.2356
24. A. Lorke and R. J. Luyken, Physica B 256-258, 424 (1998) 10.1016/S0921-4526(98)00578-X
25. M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, Science 291, 451 (2001) 10.1126/science.291.5503.451
26. M. Pi, A. Emperador, M. Barranco, F. Garcias, K. Muraki, S. Tarucha, and D. G. Austing, Phys. Rev. Lett. 87, 066801 (2001). 10.1103/PhysRevLett.87.066801
27. F. Suárez, D. Granados, M. L. Dotor, and J. M. García, Nanotechnology 15, S126 (2004) 10.1088/0957-4484/15/4/003
28. D. Granados, J. M. García, T. Ben, and S. I. Molina, Appl. Phys. Lett. 86, 071918 (2005). 10.1063/1.1866228
29. B. Szafran and F. M. Peeters, Phys. Rev. B 72, 155316 (2005). 10.1103/PhysRevB.72.155316
30. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980) 10.1103/PhysRevLett.45.566
31. J. W. Moskowitz, K. E. Schmidt, M. A. Lee, and M. H. Kalos, J. Chem. Phys. 77, 349 (1982) 10.1063/1.443612
32. P. J. Reynolds, D. M. Ceperley, B. J. Alder, and W. A. Lester, J. Chem. Phys. 77, 5593 (1982) 10.1063/1.443766
33. S. Fahy, X. W. Wang, and S. G. Louie, Phys. Rev. B 42, 3503 (1990) 10.1103/PhysRevB.42.3503
34. X.-P. Li, D. M. Ceperley, and R. M. Martin, Phys. Rev. B 44, 10929 (1991) 10.1103/PhysRevB.44.10929
35. A. J. Williamson, J. C. Grossman, R. Q. Hood, A. Puzder, and G. Galli, Phys. Rev. Lett. 89, 196803 (2002). 10.1103/PhysRevLett.89.196803
36. M. H. Kalos and F. Pederiva, Phys. Rev. Lett. 85, 3547 (2000). 10.1103/PhysRevLett.85.3547
37. C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Phys. Rev. Lett. 98, 110201 (2007). 10.1103/PhysRevLett.98.110201
38. F. Malet, M. Barranco, E. Lipparini, R. Mayol, M. Pi, J. I. Climente, and J. Planelles, Phys. Rev. B 73, 245324 (2006). 10.1103/PhysRevB.73.245324
39. M. Rontani, C. Cavazzoni, D. Bellucci, and G. Goldoni, J. Chem. Phys. 124, 124102 (2006). 10.1063/1.2179418
40. I. Romanovsky, C. Yannouleas, and U. Landman, Phys. Rev. Lett. 93, 230405 (2004). 10.1103/PhysRevLett.93.230405
41. C. Yannouleas and U. Landman, Rep. Prog. Phys. 70, 2067 (2007). 10.1088/0034-4885/70/12/R02
42. J. Toulouse and C. J. Umrigar, J. Chem. Phys. 126, 084102 (2007). 10.1063/1.2437215
43. F. Malet, M. Pi, M. Barranco, E. Lipparini, and Ll. Serra, Phys. Rev. B 74, 193309 (2006). 10.1103/PhysRevB.74.193309
44. B. Tanatar and D. M. Ceperley, Phys. Rev. B 39, 5005 (1989). 10.1103/PhysRevB.39.5005
45. A. Emperador, E. Lipparini, and F. Pederiva, Phys. Rev. B 72, 033306 (2005). 10.1103/PhysRevB.72.033306
46. R. B. Lehoucq, K. Maschhoff, D. C. Sorensen, and C. Yang, ARPACK computer code, 1997, available at http://www.caam.rice.edu/software/ARPACK/
47. K. Varga, P. Navratil, J. Usukura, and Y. Suzuki, Phys. Rev. B 63, 205308 (2001). 10.1103/PhysRevB.63.205308
48. C. Herring, Phys. Rev. B 11, 2056 (1975). 10.1103/PhysRevB.11.2056
49. J. Usukura, Y. Saiga, and D. S. Hirashima, J. Phys. Soc. Jpn. 74, 1231 (2005). 10.1143/JPSJ.74.1231
50. Y. Saiga, D. S. Hirashima, and J. Usukura, Phys. Rev. B 75, 045343 (2007). 10.1103/PhysRevB.75.045343
51. S. A. Mikhailov, Phys. Rev. B 65, 115312 (2002). 10.1103/PhysRevB.65. 115312
52. M. Koskinen, M. Manninen, and S. M. Reimann, Phys. Rev. Lett. 79, 1389 (1997). 10.1103/PhysRevLett.79.1389
53. The matching of the number of maxima in the electron density with the number of electrons in the system has been followed as the criterion for Wigner crystallization in quantum dots, e.g., by E. Räsänen, H. Saarikoski, M. J. Puska, and R. M. Nieminen, Phys. Rev. B 67, 035326 (2003). 10.1103/PhysRevB.67.035326
54. K. Hirose and N. S. Wingreen, Phys. Rev. B 59, 4604 (1999). 10.1103/PhysRevB.59.4604
55. L. Shulenburger, M. Casula, G. Senatore, and R. M. Martin, Phys. Rev. B 78, 165303 (2008). 10.1103/PhysRevB.78.165303