Spin-projected unrestricted Hartree-Fock ground states for harmonic quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 3, 2008, Pages

  De Giovannini, U ^a   Cavaliere, F ^a   Cenni, R ^a   Sassetti, M ^a   Kramer, B ^b,c  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF HAMBURG   (Germany)

^c JACOBS UNIVERSITY BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38549173693     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.035325     Document Type: Article

References (93)

1. See, e.g., S. M. Reimann and M. Manninen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.1283 74, 1283 (2002);
2. M. Manninen and S. M. Reimann, arXiv:cond-mat/0703292 (unpublished), and references therein.
3. P. A. Maksym, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.10871 53, 10871 (1996).
4. C. Yannouleas and U. Landman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5325 82, 5325 (1999);
5. C. Yannouleas and U. Landman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2220 85, 2220 (2000).
6. C. Yannouleas and U. Landman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1726 85, 1726 (2000).
7. S. A. Mikhailov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.115312 65, 115312 (2002).
8. I. Romanovsky, C. Yannouleas, and U. Landman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.230405 93, 230405 (2004);
9. L. O. Baksmaty, C. Yannouleas, and U. Landman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023620 75, 023620 (2007).
10. A. Bohr and B. R. Mottelson, Nuclear Structure (W. A. Benjamin, London, 1975).
11. W. de Heer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.611 65, 611 (1993).
12. L. P. Kouwenhoven, C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt, and N. S. Wingreen, in Electron transport in quantum dots, NATO Advanced Studies Institute, Series E: Applied Science, edited by, L. L. Sohn,,, L. P. Kouwenhoven,, and, G. Schön, (Kluwer, Dordrecht, 1997), p. 105.
13. L. P. Kouwenhoven, T. H. Oosterkamp, M. W. S. Danoesastro, M. Eto, D. G. Austing, T. Honda, and S. Tarucha, Science SCIEAS 0036-8075 10.1126/science.278. 5344.1788 278, 1788 (1997).
14. S. Tarucha, D. G. Austing, T. Honda, R. J. van der Hage, and L. P. Kouwenhoven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3613 77, 3613 (1996);
15. S. Sasaki, D. G. Austing, and S. Tarucha, Physica B PHYBE3 0921-4526 10.1016/S0921-4526(98)00486-4 256, 157 (1998).
16. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.1217 79, 1217 (2007).
17. D. Weinmann, W. Häusler, and B. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.984 74, 984 (1995).
18. A. K. Huettel, H. Qin, A. W. Holleitner, R. H. Blick, K. Neumaier, D. Weinmann, K. Eberl, and J. P. Kotthaus, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00431-5 62, 712 (2003).
19. F. Cavaliere, A. Braggio, J. T. Stockburger, M. Sassetti, and B. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.036803 93, 036803 (2004);
20. F. Cavaliere, A. Braggio, M. Sassetti, and B. Kramer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.125323 70, 125323 (2004).
21. M. C. Rogge, F. Cavaliere, M. Sassetti, R. J. Haug, and B. Kramer, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/12/298 8, 298 (2006).
22. M. Ciorga, M. Pioro-Ladriere, P. Zawadzki, P. Hawrylak, and A. S. Sachrajda, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1459489 80, 2177 (2002).
23. B. Muralidharan and S. Datta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.035432 76, 035432 (2007).
24. M. C. Rogge, C. Fuhner, U. F. Keyser, and R. J. Haug, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1776613 85, 606 (2004).
25. M. Ciorga, A. Wensauer, M. Pioro-Ladriere, M. Korkusinski, J. Kyriakidis, A. S. Sachrajda, and P. Hawrylak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.256804 88, 256804 (2002).
26. M. Ciorga, A. S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, and Z. Wasilewski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.R16315 61, R16315 (2000).
27. D. Kupidura, M. C. Rogge, M. Reinwald, W. Wegscheider, and R. J. Haug, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.046802 96, 046802 (2006).
28. M. C. Rogge, C. Fühner, and R. J. Haug, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.176801 97, 176801 (2006).
29. M. Stopa, W. G. van der Wiel, S. De Franceschi, S. Tarucha, and L. P. Kouwenhoven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.046601 91, 046601 (2003).
30. M. Keller, U. Wilhelm, J. Schmid, J. Weis, K. v. Klitzing, and K. Eberl, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.033302 64, 033302 (2001).
31. B. Reusch, W. Häusler, and H. Grabert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.113313 63, 113313 (2001).
32. B. Reusch and H. Grabert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.045309 68, 045309 (2003).
33. B. Szafran, S. Bednarek, J. Adamowski, M. B. Tavernier, E. Anisimovas, and F. M. Peeters, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2003-00320-5 28, 373 (2004).
34. A. Emperador, E. Lipparini, and Ll. Serra, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.235341 73, 235341 (2006).
35. A. Wensauer, M. Korkusinski, and P. Hawrylak, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.035325 67, 035325 (2003).
36. P. Hawrylak, C. Gould, A. Sachrajda, Y. Feng, and Z. Wasilewski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.2801 59, 2801 (1999).
37. M. Koskinen, M. Manninen, and S. M. Reimann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1389 79, 1389 (1997).
38. K. Hirose and N. S. Wingreen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.4604 59, 4604 (1999).
39. M. Gattobigio, P. Capuzzi, M. Polini, R. Asgari, and M. P. Tosi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.045306 72, 045306 (2005).
40. A. Harju, H. Saarikoski, and E. Räsänen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.126805 96, 126805 (2006).
41. E. Räsänen, J. Konemann, R. J. Haug, M. J. Puska, and R. M. Nieminen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115308 70, 115308 (2004).
42. H. Saarikoski, E. Räsänen, S. Siljamäki, A. Harju, M. J. Puska, and R. M. Nieminen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67. 205327 67, 205327 (2003).
43. N. Helbig, S. Kurth, S. Pittalis, E. Räsänen, and E. K. U. Gross, arXiv:cond-mat/0605599 (unpublished).
44. A. Szabo and N. S. Ostlund, Modern Quantum Chemistry (Dover, New York, 1999).
45. P.-O. Löwdin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.97.1509 97, 1509 (1955).
46. P.-O. Löwdin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.97.1474 97, 1474 (1955).
47. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
48. C. Yannouleas and U. Landman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035325 68, 035325 (2003).
49. C. Yannouleas and U. Landman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.113306 69, 113306 (2004).
50. Y. Li, C. Yannouleas, and U. Landman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.075301 73, 075301 (2006).
51. H.-M. Müller and S. E. Koonin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.14532 54, 14532 (1996).
52. C. Yannouleas and U. Landman, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/34/101 14, L591 (2002).
53. C. Yannouleas and U. Landman, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s100530170133 16, 373 (2001).
54. C. Yannouleas and U. Landman, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/qua.980 90, 699 (2002).
55. U. D. Giovannini, F. Cavaliere, R. Cenni, M. Sassetti, and B. Kramer, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/4/093 9, 93 (2007).
56. Ll. Serra, R. G. Nazmitdinov, and A. Puente, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035341 68, 035341 (2003).
57. A. Puente, L. Serra, and R. G. Nazmitdinov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.125315 69, 125315 (2004).
58. M. Dineykhan and R. G. Nazmitdinov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.13707 55, 13707 (1997).
59. D. Pfannkuche, V. Gudmundsson, and P. A. Maksym, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.2244 47, 2244 (1993).
60. M. Wagner, U. Merkt, and A. V. Chaplik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.1951 45, 1951 (1992).
61. S. A. Mikhailov and N. A. Savostianova, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.033307 66, 033307 (2002).
62. S. A. Mikhailov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.153313 66, 153313 (2002).
63. P. Hawrylak and D. Pfannkuche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.485 70, 485 (1993).
64. P. Hawrylak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 3347 71, 3347 (1993).
65. A. Wojs and P. Hawrylak, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.10841 53, 10841 (1996).
66. M. B. Tavernier, E. Anisimovas, F. M. Peeters, B. Szafran, J. Adamowski, and S. Bednarek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.205305 68, 205305 (2003).
67. H. Imamura, H. Aoki, and P. A. Maksym, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.R4257 57, R4257 (1998).
68. J. Kyriakidis and C. J. Stevenson, arXiv:cond-mat/0608044 (unpublished).
69. Y. Nishi, P. A. Maksym, D. G. Austing, T. Hatano, L. P. Kouwenhoven, H. Aoki, and S. Tarucha, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.033306 74, 033306 (2006).
70. A. Wensauer, M. Korkusinski, and P. Hawrylak, Solid State Commun. SSCOA4 0038-1098 10.1016/j.ssc.2003.12.039 130, 115 (2004).
71. M. Rontani, C. Cavazzoni, D. Bellucci, and G. Goldoni, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2179418 124, 124102 (2006).
72. K. Varga, P. Navratil, J. Usukura, and Y. Suzuki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.205308 63, 205308 (2001).
73. F. Pederiva, C. J. Umrigar, and E. Lipparini, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.8120 62, 8120 (2000);
74. F. Pederiva, C. J. Umrigar, and E. Lipparini, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.089901 68, 089901 (E) (2003).
75. L. Colletti, F. Pederiva, E. Lipparini, and C. J. Umrigar, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2002-00169-x 27, 385 (2002).
76. R. Egger, W. Häusler, C. H. Mak, and H. Grabert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3320 82, 3320 (1999);
77. R. Egger, W. Häusler, C. H. Mak, and H. Grabert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.462 83, 462 (1999).
78. A. Harju, S. Siljamäki, and R. M. Nieminen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.075309 65, 075309 (2002).
79. F. Bolton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.4780 54, 4780 (1996).
80. A. Ghosal, A. D. Güçlü, C. J. Umrigar, D. Ullmo, and H. U. Baranger, Nat. Phys. ZZZZZZ 1745-2473 2, 336 (2006).
81. A. Ghosal, A. D. Güçlü, C. J. Umrigar, D. Ullmo, and H. U. Baranger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.085341 76, 085341 (2007).
82. A. D. Güçlü, A. Ghosal, C. J. Umrigar, and H. U. Baranger, arXiv:0708.1304 (unpublished).
83. E. Räsänen, H. Saarikoski, A. Harju, M. Ciorga, and A. Sachrajda (unpublished).
84. W. Y. Ruan, Y. Y. Liu, C. G. Bao, and Z. Q. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.7942 51, 7942 (1995).
85. A. V. Filinov, M. Bonitz, and Yu. E. Lozovik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3851 86, 3851 (2001).
86. Chengguang Bao, Wenying Ruan, and Youyang Liu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.10820 53, 10820 (1996).
87. V. Fock, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01390750 47, 446 (1928);
88. G. C. Darwin, Proc. Cambridge Philos. Soc. PCPSA4 0068-6735 27, 86 (1930).
89. V. H. Smith, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1725634 41, 277 (1964).
90. M. B. Ruiz, J. Math. Chem. JMCHEG 0259-9791 10.1023/A:1019130905213 24, 233 (1998).
91. M. Rontani, C. Cavazzoni, and G. Goldoni, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2005.03.095 169, 430 (2005).
92. M. B. Tavernier, E. Anisimovas, and F. M. Peeters, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.125305 74, 125305 (2006).
93. S. Tarucha, D. G. Austing, Y. Tokura, W. G. van der Wiel, and L. P. Kouwenhoven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2485 84, 2485 (2000).