Kondo effect in quantum dot systems: Numerical renormalization group study

Journal of the Physical Society of Japan

Volumn 74, Issue 1, 2005, Pages 103-109

  Izumida, Wataru ^a   Sakai, Osamu ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Aharonov Bohm effect; Double quantum dot; Numerical renormalization group method; Quantum dot; Singlet triplet Kondo effect; Spin 1 2 Kondo effect; Tunneling conductance; Two impurity problem

Indexed keywords

EID: 24744449692     PISSN: 00319015     EISSN: 00319015     Source Type: Journal    
DOI: 10.1143/JPSJ.74.103     Document Type: Article

References (58)

1. L. I. Glazman and M. É. Raîkh: JETP Lett. 47 (1988) 452.
2. T. K. Ng and P. A. Lee: Phys. Rev. Lett. 61 (1988) 1768.
3. A. Kawabata: J. Phys. Soc. Jpn. 60 (1991) 3222.
4. For references, see for example, ref. 14.
5. W. Izumida, O. Sakai and Y. Shimizu: J. Phys. Soc. Jpn. 66 (1997) 717.
6. O. Sakai, S. Suzuki, W. Izumida and A. Oguri: J. Phys. Soc. Jpn. 68 (1999) 1640.
7. D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav and M. A. Kastner: Nature 391 (1998) 156.
8. S. M. Cronenwett, T. H. Oosterkamp and L. P. Kouwenhoven: Science 281 (1998) 540.
9. D. Goldhaber-Gordon, J. Göres, M. A. Kastner, H. Shtrikman, D. Mahalu and U. Meirav: Phys. Rev. Lett. 81 (1998) 5225.
10. J. Schmid, J. Weis, K. Eberl and K. v. Klitzing: Physica B 256-258 (1998) 182.
11. F. Simmel, R. H. Blick, J. P. Kotthaus, W. Wegscheider and M. Bichler: Phys. Rev. Lett. 83 (1999) 804.
12. W. G. van der Wiel, S. De Franceschi, T. Fujisawa, J. M. Elzerman, S. Tarucha and L. P. Kouwenhoven: Science 289 (2000) 2105.
13. S. Sasaki, S. De Franceschi, J. M. Elzerman, W. G. van der Wiel, M. Eto, S. Tarucha and L. P. Kouwenhoven: Nature 405 (2000) 764.
14. W. Izumida, O. Sakai and S. Suzuki: J. Phys. Soc. Jpn. 70 (2001) 1045.
15. S. De Franceschi, W. G. van der Wiel, T. Fujisawa, J. M. Elzerman, W. Izumida, S. Tarucha and L. P. Kouwenhoven: in Proc. 36th Rencontres de Moriond 2001 Conf. Electronic Correlations: from Meso- to Nanophysics, Les Arcs, France, January 20-27, 2001, ed. T. Martin, G. Montambaux and J. Tran Thanh Van (EDP Sciences, Paris, 2001) p. 361.
16. L. P. Rokhinson, L. J. Guo, S. Y. Chou and D. C. Tsui: Phys. Rev. B 60 (1999) R16319.
17. J. Schmid, J. Weis, K. Eberl and K. v. Klitzing: Phys. Rev. Lett. 84 (2000) 5824.
18. J. Nygård, D. H. Cobden and P. E. Lindelof: Nature 408 (2000) 342.
19. W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, S. Tarucha, L. P. Kouwenhoven, J. Motohisa, F. Nakajima and T. Fukui: Phys. Rev. Lett. 88 (2002) 126803.
20. S. Sasaki, S. Amaha, N. Asakawa, M. Eto and S. Tarucha: Phys. Rev. Lett. 93 (2004) 017205.
21. S. Tarucha, D. G. Austing, T. Honda, R. J. van der Hage and L. P. Kouwenhoven: Phys. Rev. Lett. 77 (1996) 3613.
22. M. Eto and Yu. V. Nazarov: Phys. Rev. Lett. 85 (2000) 1306;
23. M. Eto and Yu. V. Nazarov: Phys. Rev. B 64 (2001) 085322.
24. M. Pustilnik and L. I. Glazman: Phys. Rev. Lett. 85 (2000) 2993;
25. M. Pustilnik and L. I. Glazman: Phys. Rev. B 64 (2001) 045328.
26. W. Izumida, O. Sakai and S. Tarucha: Phys. Rev. Lett. 87 (2001) 216803.
27. W. Izumida, O. Sakai and S. Tarucha: in Physics of Semiconductors 2002: Proc. 26th Int. Conf. Physics of Semiconductors, ed. A. R. Long and J. H. Davies (Institute of Physics Publishing, Bristol, 2003) IOP Conference Series, No. 171, D183.
28. We can neglect the Zeeman splitting in this case, see for example, ref. 24.
29. W. Izumida, O. Sakai and Y. Shimizu: J. Phys. Soc. Jpn. 67 (1998) 2444.
30. D. C. Langreth: Phys. Rev. 150 (1966) 516.
31. H. Shiba: Prog. Theor. Phys. 54 (1975) 967.
32. I. Okada and K. Yosida: Prog. Theor. Phys. 49 (1973) 1483.
33. W. Hofstetter and H. Schoeller: Phys. Rev. Lett. 88 (2002) 016803.
34. W. Izumida and O. Sakai: Phys. Rev. B 62 (2000) 10260.
35. For references, see for example, ref. 32.
36. B. A. Jones, C. M. Varma and J. W. Wilkins: Phys. Rev. Lett. 61 (1988) 125.
37. O. Sakai, Y. Shimizu and T. Kasuya: Solid State Commun. 75 (1990) 81.
38. O. Sakai and Y. Shimizu: J. Phys. Soc. Jpn. 61 (1992) 2333;
39. O. Sakai and Y. Shimizu: J. Phys. Soc. Jpn. 61 (1992) 2348.
40. I. Affleck and A. W. W. Ludwig: Phys. Rev. Lett. 68 (1992) 1046.
41. I. Affleck, A. W. W. Ludwig and B. A. Jones: Phys. Rev. B 52 (1995) 9528.
42. J. Weis, J. Schmid, U. Wilhelm and M. Keller: in Proc. 25th Int. Conf. Physics of Semiconductors, Osaka, Japan, September 17-22, 2000, ed. N. Miura and T. Ando (Springer, Berlin; New York, 2001) p. 1013.
43. H. Jeong, A. M. Chang and M. R. Melloch: Science 293 (2001) 2221.
44. J. C. Chen, A. M. Chang and M. R. Melloch: Phys. Rev. Lett. 92 (2004) 176801.
45. A. Yacoby, M. Heiblum, D. Mahalu and H. Shtrikman: Phys. Rev. Lett. 74 (1995) 4047.
46. A. Yacoby, R. Schuster and M. Heiblum: Phys. Rev. B 53 (1996) 9583.
47. R. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky and H. Shtrikman: Nature 385 (1997) 417.
48. Y. Ji, M. Heiblum, D. Sprinzak, D. Mahalu and H. Shtrikman: Science 290 (2000) 779.
49. A. W. Holleitner, C. R. Decker, H. Qin, K. Eberl and R. H. Blick: Phys. Rev. Lett. 87 (2001) 256802.
50. K. Kobayashi, H. Aikawa, S. Katsumoto and Y. Iye: Phys. Rev. Lett. 88 (2002) 256806.
51. H. Aikawa, K. Kobayashi, A. Sano, S. Katsumoto and Y. Iye: Phys. Rev. Lett. 92 (2004) 176802.
52. U. Gerland, J. von Delft, T. A. Costi and Y. Oreg: Phys. Rev. Lett. 84 (2000) 3710.
53. B. R. Bułka and P. Stefański: Phys. Rev. Lett. 86 (2001) 5128.
54. W. Hofstetter, J. Konig and H. Schoeller: Phys. Rev. Lett. 87 (2001) 156803.
55. P. G. Silvestrov and Y. Imry: Phys. Rev. Lett. 90 (2003) 106602.
56. H. Akera: Phys. Rev. B 47 (1993) 6835.
57. H. Akera: Phys. Rev. B 59 (1999) 9802.
58. A. L. Yeyati and M. Büttiker: Phys. Rev. B 52 (1995) R14360.