Nonequilibrium Green's function approach to strongly correlated few-electron quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 24, 2009, Pages

  Balzer, K ^a   Bonitz, M ^a   Van Leeuwen, R ^b   Stan, A ^b   Dahlen, N E ^c  

^a UNIVERSITY OF KIEL   (Germany)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650088363     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.245306     Document Type: Article

References (52)

1. L. Jacak, P. Hawrylak, and A. Wójs, Quantum Dots (Springer, Berlin, 1998).
2. R. C. Ashoori, Nature (London) 379, 413 (1996). 10.1038/379413a0
3. T. Brocke, M.-T. Bootsmann, M. Tews, B. Wunsch, D. Pfannkuche, Ch. Heyn, W. Hansen, D. Heitmann, and C. Schüller, Phys. Rev. Lett. 91, 257401 (2003). 10.1103/PhysRevLett.91.257401
4. N. Baer, P. Gartner, and F. Jahnke, Eur. Phys. J. B 42, 231 (2004). 10.1140/epjb/e2004-00375-6
5. B. Szafran, F. M. Peeters, S. Bednarek, and J. Adamowski, Phys. Rev. B 69, 125344 (2004). 10.1103/PhysRevB.69.125344
6. K. M. Indlekofer, J. Knoch, and J. Appenzeller, Phys. Rev. B 72, 125308 (2005). 10.1103/PhysRevB.72.125308
7. K. M. Indlekofer, R. Németh, and J. Knoch, Phys. Rev. B 77, 125436 (2008). 10.1103/PhysRevB.77.125436
8. L. Banyai and S. W. Koch, Semiconductor Quantum Dots (World Scientific, Singapore, 1993).
9. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002). 10.1103/RevModPhys.74.1283
10. S. Kvaal, M. Hjorth-Jensen, and H. M. Nilsen, Phys. Rev. B 76, 085421 (2007). 10.1103/PhysRevB.76.085421
11. O. Ciftja and M. G. Faruk, J. Phys.: Condens. Matter 18, 2623 (2006). 10.1088/0953-8984/18/9/002
12. K. Jauregui, W. Häusler, and B. Kramer, Europhys. Lett. 24, 581 (1993). 10.1209/0295-5075/24/7/013
13. C. Yannouleas and U. Landman, Rep. Prog. Phys. 70, 2067 (2007). 10.1088/0034-4885/70/12/R02
14. P. Ludwig, K. Balzer, A. Filinov, H. Stolz, and M. Bonitz, New J. Phys. 10, 083031 (2008). 10.1088/1367-2630/10/8/083031
15. B. Reusch, W. Häusler, and H. Grabert, Phys. Rev. B 63, 113313 (2001) 10.1103/PhysRevB.63.113313
16. B. Reusch and H. Grabert, Phys. Rev. B 68, 045309 (2003). 10.1103/PhysRevB.68.045309
17. M. Rontani, C. Cavazzoni, D. Bellucci, and G. Goldoni, J. Chem. Phys. 124, 124102 (2006). 10.1063/1.2179418
18. R. Egger, W. Häusler, C. H. Mak, and H. Grabert, Phys. Rev. Lett. 82, 3320 (1999). 10.1103/PhysRevLett.82.3320
19. A. V. Filinov, M. Bonitz, and Yu. E. Lozovik, Phys. Rev. Lett. 86, 3851 (2001); 10.1103/PhysRevLett.86.3851
20. A. V. Filinov, Yu. E. Lozovik, and M. Bonitz, Phys. Status Solidi B 221, 231 (2000). 10.1002/1521-3951(200009)221:1<231::AID-PSSB231>3.0.CO;2-D
21. A. V. Filinov, C. Riva, F. M. Peeters, Yu. E. Lozovik, and M. Bonitz, Phys. Rev. B 70, 035323 (2004). 10.1103/PhysRevB.70.035323
22. A. S. Bracker, E. A. Stinaff, D. Gammon, M. E. Ware, J. G. Tischler, D. Park, D. Gershoni, A. V. Filinov, M. Bonitz, F. M. Peeters, and C. Riva, Phys. Rev. B 72, 035332 (2005). 10.1103/PhysRevB.72.035332
23. P. Myöhänen, A. Stan, G. Stefanucci, and R. van Leeuwen, EPL 84, 67001 (2008); 10.1209/0295-5075/84/67001
24. K. Balzer and M. Bonitz, J. Phys. A 42, 214020 (2009). 10.1088/1751-8113/42/21/214020
25. N. E. Dahlen and R. van Leeuwen, J. Chem. Phys. 122, 164102 (2005). 10.1063/1.1884965
26. N. E. Dahlen, R. van Leeuwen, and A. Stan, J. Phys.: Conf. Ser. 35, 340 (2006). 10.1088/1742-6596/35/1/031
27. N. E. Dahlen and R. van Leeuwen, Phys. Rev. Lett. 98, 153004 (2007). 10.1103/PhysRevLett.98.153004
28. M. Bonitz, D. Kremp, D. C. Scott, R. Binder, W. D. Kraeft, and H. S. Köhler, J. Phys.: Condens. Matter 8, 6057 (1996). 10.1088/0953-8984/8/33/ 012
29. R. Binder, H. S. Kohler, M. Bonitz, and N. Kwong, Phys. Rev. B 55, 5110 (1997). 10.1103/PhysRevB.55.5110
30. N. H. Kwong, M. Bonitz, R. Binder, and H. S. Köhler, Phys. Status Solidi B 206, 197 (1998); 10.1002/(SICI)1521-3951(199803)206:1<197::AID- PSSB197>3.0.CO;2-9
31. N. H. Kwong and M. Bonitz, Phys. Rev. Lett. 84, 1768 (2000). 10.1103/PhysRevLett.84.1768
32. D. O. Gericke, S. Kosse, M. Schlanges, and M. Bonitz, Phys. Status Solidi B 206, 257 (1998). 10.1002/(SICI)1521-3951(199803)206:1<257::AID- PSSB257>3.0.CO;2-L
33. D. Semkat, D. Kremp, and M. Bonitz, J. Math. Phys. 41, 7458 (2000); 10.1063/1.1286204
34. D. Semkat, D. Kremp, and M. Bonitz, Phys. Rev. E 59, 1557 (1999). 10.1103/PhysRevE.59.1557
35. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
36. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957) 10.1143/JPSJ.12.570
37. R. Kubo, Rep. Prog. Phys. 29, 255 (1966). 10.1088/0034-4885/29/1/306
38. W. Ku and A. G. Eguiluz, Phys. Rev. Lett. 89, 126401 (2002). 10.1103/PhysRevLett.89.126401
39. P. Echenique and J. L. Alonso, Mol. Phys. 105, 3057 (2007). 10.1080/00268970701757875
40. C. C. J. Roothaan, Rev. Mod. Phys. 23, 69 (1951) 10.1103/RevModPhys.23.69
41. G. G. Hall, Proc. R. Soc. London A205, 451 (1951).
42. The uniform power mesh discretizes the half-interval [-β,- β 2] ([- β 2, 0]) by p-1 bisections of the most lower (upper) part and introduces, in each division, an evenly spaced grid of u subdivisions. With the integers u and p the total number of grid points is nm =2up+1 and the smallest (largest) mesh spacing is 1 2 β/ (2p-1 u) [β/ (4u)].
43. S. A. Mikhailov, Phys. Rev. B 65, 115312 (2002). 10.1103/PhysRevB.65. 115312
44. Quantum Monte Carlo [e.g., path integral Monte Carlo simulations (Refs.)], as a first-principle many-body approach, accounts for all correlation effects and yields numerically exact results.
45. K. Balzer, Diploma thesis, Kiel University, 2007.
46. M. N. Tran, M. V. N. Murthy, and R. K. Bhaduri, Phys. Rev. E 63, 031105 (2001). 10.1103/PhysRevE.63.031105
47. U. Merkt, J. Huser, and M. Wagner, Phys. Rev. B 43, 7320 (1991). 10.1103/PhysRevB.43.7320
48. U. De Giovannini, F. Cavaliere, R. Cenni, M. Sassetti, and B. Kramer, New J. Phys. 9, 93 (2007). 10.1088/1367-2630/9/4/093
49. M. Bonitz, D. Semkat, and H. Haug, Eur. Phys. J. B 9, 309 (1999). 10.1007/s100510050770
50. H. Haug and L. Banyai, Solid State Commun. 100, 303 (1996). 10.1016/0038-1098(96)00504-2
51. The finite peak width is not a numerical artifact and remains even at low temperatures and for larger basis dimensions. The reason is, most likely, the self-consistency of the solution of the KBE together with an incomplete compensation of imaginary parts of the self-energy on the second Born level.
52. K. S. Thygesen, Phys. Rev. Lett. 100, 166804 (2008). 10.1103/PhysRevLett. 100.166804