Kondo effect in complex mesoscopic structures

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 3, 2005, Pages

  Entin Wohlman, O ^a,b,c   Aharony, A ^a,b   Meir, Y ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; ELECTRONICS; LIQUID; MATHEMATICAL ANALYSIS; QUANTUM DOT; TEMPERATURE SENSITIVITY;

EID: 15444378608     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.035333     Document Type: Article

References (44)

1. For a review, see, e.g., P. Fulde, J. Keller, and G. Zwicknagel, Solid State Phys. 41, 1 (1988).
2. D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav, and M. A. Kastner, Nature (London) 391, 156 (1998).
3. For a review, see, e.g., N. S. Wingreen, Mater. Sci. Eng. B 84, 22 (2001).
4. W. G. van der Wiel, S. De Franceschi, T. Fujisawa, J. M. Elzerman, S. Tarucha, and L. P. Kouwenhoven, Science 289, 2105 (2000); Y. Ji, M. Heiblum, D. Sprinzak, D. Mahalu, and H. Shtrikman, ibid. 290, 779 (2000); Y. Ji, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett. 88, 076601 (2002).
5. W. G. van der Wiel, S. De Franceschi, T. Fujisawa, J. M. Elzerman, S. Tarucha, and L. P. Kouwenhoven, Science 289, 2105 (2000); Y. Ji, M. Heiblum, D. Sprinzak, D. Mahalu, and H. Shtrikman, ibid. 290, 779 (2000); Y. Ji, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett. 88, 076601 (2002).
6. W. G. van der Wiel, S. De Franceschi, T. Fujisawa, J. M. Elzerman, S. Tarucha, and L. P. Kouwenhoven, Science 289, 2105 (2000); Y. Ji, M. Heiblum, D. Sprinzak, D. Mahalu, and H. Shtrikman, ibid. 290, 779 (2000); Y. Ji, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett. 88, 076601 (2002).
7. See, e.g., N. Sivan and N. S. Wingreen, Phys. Rev. B 54, 11622 (1996) and references therein.
8. P. Nozières, J. Low Temp. Phys. 17, 31 (1974); K. Yamada, Prog. Theor. Phys. 53, 970 (1975); 54, 316 (1975).
9. P. Nozières, J. Low Temp. Phys. 17, 31 (1974); K. Yamada, Prog. Theor. Phys. 53, 970 (1975); 54, 316 (1975).
10. P. Nozières, J. Low Temp. Phys. 17, 31 (1974); K. Yamada, Prog. Theor. Phys. 53, 970 (1975); 54, 316 (1975).
11. T. A. Costi and A. C. Hewson, J. Phys.: Condens. Matter 5, L361 (1993).
12. S. Kirchner, J. Kroha, and P. Wölfle, Phys. Rev. B 70, 165102 (2004).
13. N. E. Bickers, D. L. Cox, and J. W. Wilkins, Phys. Rev. B 36, 2036 (1987); Q. Qin and H. Keiter, Z. Phys. B: Condens. Matter 65, 89 (1991).
14. N. E. Bickers, D. L. Cox, and J. W. Wilkins, Phys. Rev. B 36, 2036 (1987); Q. Qin and H. Keiter, Z. Phys. B: Condens. Matter 65, 89 (1991).
15. J. E. Hirsch, and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986); R. N. Silver, J. E. Gubernatis, D. S. Sivia, and M. Jarrell, ibid. 65, 496 (1990).
16. J. E. Hirsch, and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986); R. N. Silver, J. E. Gubernatis, D. S. Sivia, and M. Jarrell, ibid. 65, 496 (1990).
17. W. Hersteller, J. König, and H. Schoeller, Phys. Rev. Lett. 87, 156803 (2001); J. König and Y. Gefen, ibid. 86, 3855 (2001); Phys. Rev. B 65, 045316 (2002); C. H. Lewenkopf and W. A. Weidenmüller, cond-mat/0401523 (unpublished).
18. W. Hersteller, J. König, and H. Schoeller, Phys. Rev. Lett. 87, 156803 (2001); J. König and Y. Gefen, ibid. 86, 3855 (2001); Phys. Rev. B 65, 045316 (2002); C. H. Lewenkopf and W. A. Weidenmüller, cond-mat/0401523 (unpublished).
19. W. Hersteller, J. König, and H. Schoeller, Phys. Rev. Lett. 87, 156803 (2001); J. König and Y. Gefen, ibid. 86, 3855 (2001); Phys. Rev. B 65, 045316 (2002); C. H. Lewenkopf and W. A. Weidenmüller, cond-mat/0401523 (unpublished).
20. W. Hersteller, J. König, and H. Schoeller, Phys. Rev. Lett. 87, 156803 (2001); J. König and Y. Gefen, ibid. 86, 3855 (2001); Phys. Rev. B 65, 045316 (2002); C. H. Lewenkopf and W. A. Weidenmüller, cond-mat/0401523 (unpublished).
21. O. Entin-Wohlman, Y. Imry, and A. Aharony, Phys. Rev. B 70, 075301 (2004).
22. T. K. Ng and P. A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
23. Y. Meir, N. S. Wingreen, and P. A. Lee, Phys. Rev. Lett. 66, 3048 (1991).
24. For a recent review, see, e.g., A. George, cond-mat/0403123 (unpublished).
25. L. Dworin, Phys. Rev. 164, 818 (1967). This paper shows that all self-consistent methods, to any order of truncation, have difficulties near the particle-hole symmetry point. Such difficulties should not show up in the limit U → ∞ discussed here.
26. J. A. Appelbaum and D. R. Penn, Phys. Rev. B 3, 942 (1971).
27. C. Lacroix, J. Phys. F: Met. Phys. 11, 2389 (1981).
28. H.-G. Luo, Z.-J. Ying, and S.-J. Wang, Phys. Rev. B 59, 9710 (1999).
29. U. Gerland, J. von Delft, T. A. Costi, and Y. Oreg, Phys. Rev. Lett. 84, 3710 (2000).
30. B. R. Bulka and P. Stefański, Phys. Rev. Lett. 86, 5128 (2001).
31. D. R. Hamann, Phys. Rev. 158, 570 (1967); P. E. Bloomfield and D. R. Hamann, ibid. 164, 856 (1967).
32. D. R. Hamann, Phys. Rev. 158, 570 (1967); P. E. Bloomfield and D. R. Hamann, ibid. 164, 856 (1967).
33. K. Kobayashi, H. Aikawa, A. Sano, S. Katsumoto, and Y. Iye, Phys. Rev. B 70, 035319 (2004).
34. K. Kang, S. Y. Cho, J. J. Kim, and S. C. Shin, Phys. Rev. B 63, 113304 (2001); M. E. Torio, K. Hallberg, A. H. Ceccatto, and C. R. Proetto, ibid. 65, 085302 (2002); A. A. Aligia and C. R. Proetto, ibid. 65, 165305 (2002).
35. K. Kang, S. Y. Cho, J. J. Kim, and S. C. Shin, Phys. Rev. B 63, 113304 (2001); M. E. Torio, K. Hallberg, A. H. Ceccatto, and C. R. Proetto, ibid. 65, 085302 (2002); A. A. Aligia and C. R. Proetto, ibid. 65, 165305 (2002).
36. K. Kang, S. Y. Cho, J. J. Kim, and S. C. Shin, Phys. Rev. B 63, 113304 (2001); M. E. Torio, K. Hallberg, A. H. Ceccatto, and C. R. Proetto, ibid. 65, 085302 (2002); A. A. Aligia and C. R. Proetto, ibid. 65, 165305 (2002).
37. I. Maruyama, N. Shibata, and K. Ueda, cond-mat/0410061 (unpublished).
38. A. Aharony, O. Entin-Wohlman, and Y. Imry, Phys. Rev. Lett. 90, 156802 (2003), and references therein.
39. N. E. Bickers, Rev. Mod. Phys. 59, 845 (1987), Table IX.
40. D. C. Langreth, Phys. Rev. 150, 712 (1966).
41. F. D. M. Haldane, Phys. Rev. Lett. 40, 416 (1978).
42. A. Aharony and O. Entin-Wohlman, cond-mat/0412068 (unpublished).
43. D. Ralph (private communication).
44. A. Aharony, O. Entin-Wohlman, B. I. Halperin, and Y. Imry, Phys. Rev. B 66, 115311 (2002).