Kondo effect in nanostructures

Physica Status Solidi (A) Applications and Materials Science

Volumn 203, Issue 6, 2006, Pages 1137-1147

  Pustilnik, M ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FERMI GAS; KONDO EFFECTS; NANOSCALE TRANSPORT; VICINITY;

COUPLINGS; ELECTRON TRANSITIONS; FERMI LEVEL; HIGH ENERGY PHYSICS; THERMAL EFFECTS;

NANOSTRUCTURED MATERIALS;

EID: 33646851551     PISSN: 18626300     EISSN: 18626319     Source Type: Journal    
DOI: 10.1002/pssa.200566191     Document Type: Conference Paper

References (106)

1. D. Goldhaber-Gordon et al., Nature 391, 156 (1998).
2. S. M. Cronenwett, T. H. Oosterkamp, and L. P. Kouwenhoven, Science 281, 540 (1998).
3. J. Schmid et al., Physica B 256-258, 182 (1998).
4. W. G. van der Wiel et al., Science 289, 2105 (2000).
5. Y. Ji, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett. 88, 076601 (2002).
6. W. G. van der Wiel et al., Phys. Rev. Lett. 88, 126803 (2002).
7. D. M. Zumbühl et al., Phys. Rev. Lett. 93, 256801 (2004).
8. S. Sasaki et al., Nature 405, 764 (2000).
9. S. Sasaki et al., Phys. Rev. Lett. 93, 017205 (2004).
10. J. Nygård, D. H. Cobden, and P. E. Lindelof, Nature 408, 342 (2000).
11. W. Liang, M. Bockrath, and H. Park, Phys. Rev. Lett. 88, 126801 (2002).
12. B. Babić, T. Kontos, and C. Schönenberger, Phys. Rev. B 70, 235419 (2004).
13. P. Jarillo-Herrero et al., Nature 434, 484 (2005).
14. J. Park et al., Nature 417, 722 (2002).
15. W. Liang et al., Nature 417, 725 (2002).
16. L. H. Yu and D. Natelson, Nano Lett. 4, 79 (2004).
17. A. N. Pasupathy, Science 306, 86 (2004).
18. L. T. Li et al., Phys. Rev. Lett. 80, 2893 (1998).
19. V. Madhavan et al., Science 280, 567 (1998).
20. T. Jamneala et al., Phys. Rev. Lett. 87, 256804 (2001).
21. H. C. Manoharan et al., Nature 403, 512 (2000).
22. N. Knorr, Phys. Rev. Lett. 88, 096804 (2002).
23. A. J. Heinrich, Science 306, 466 (2004).
24. A. Zhao et al., Science 309, 1542 (2005).
25. A. A. Houck et al., Nano Lett. 5, 1685 (2005).
26. M. Kataoka et al., Phys. Rev. Lett. 83, 160 (1999).
27. M. Kataoka et al., Phys. Rev. Lett. 89, 226803 (2002).
28. M. Pustilnik and L. I. Glazman, J. Phys.: Condens. Matter 16, R513 (2004).
29. L. I. Glazman and M. Pustilnik, in: Nanophysics: Coherence and Transport. Les Houches Session LXXXI, edited by H. Bouchiat et al. (Elsevier, Amsterdam, 2005), pp. 427-478 (also available as cond-mat/0501007).
30. J. Kondo, Prog. Theor. Phys. 32, 37 (1964).
31. W. J. de Haas, J. de Boer, and G. J. van den Berg, Physica 1, 1115 (1934).
32. W. J. de Haas and J. de Boer, Physica 1, 609 (1934).
33. J. Kondo, J. Phys. Soc. Jpn. 74, 1 (2005).
34. P. W. Anderson, Comments Solid State Phys. 1, 31 (1968);
35. P. W. Anderson, Comments Solid State Phys. 1, 190 (1968);
36. P. W. Anderson, Comments Solid State Phys. 3, 153 (1971);
37. P. W. Anderson, Comments Solid State Phys. 5, 73 (1973) [reprinted in: P. W. Anderson, A Career in Theoretical Physics (World Scientific, Singapore, 1994), pp. 217-244].
38. A. S. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1997).
39. S. V. Vonsovsky, Zh. Eksp. Teor. Fiz. 16, 981 (1946).
40. C. Zener, Phys. Rev. 81, 440 (1951).
41. M. A. Ruderman and C. Kittel, Phys. Rev. 96, 99 (1954).
42. T. Kasuya, Prog. Theor. Phys. 16, 45 (1956).
43. K. Yosida, Phys. Rev. 106, 893 (1957).
44. J. R. Schrieffer and P. A. Wolff, Phys. Rev. 149, 491 (1966).
45. P. W. Anderson, Phys. Rev. 124, 41 (1961).
46. A. A. Abrikosov, Physics 2, 5 (1965).
47. H. Suhl, Phys. Rev. 138, A515 (1965).
48. The longest-standing puzzle was, apparently, the superconductivity, whose explanation came half a century after its discovery. For comparison, it took only a few monthes to explain the fractional quantum Hall effect.
49. P. W. Anderson, Phys. C 3, 2436 (1970).
50. P. W. Anderson, G. Yuval, and D. R. Hamann, Phys. Rev. B 1, 4464 (1970).
51. K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975).
52. P. Nozières, J. Low Temp. Phys. 17, 31 (1974).
53. A. M. Tsvelick and P. B. Wiegmann, Adv. Phys. 32, 453 (1983).
54. N. Andrei, K. Furuya, and J. H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983).
55. A. F. G. Wyatt, Phys. Rev. Lett. 13, 401 (1964).
56. R. A. Logan and J. M. Rowell, Phys. Rev. Lett. 13, 404 (1964).
57. J. A. Appelbaum, Phys. Rev. Lett. 17, 91 (1966);
58. Phys. Rev. 154, 633 (1967).
59. P. W. Anderson, Phys. Rev. Lett. 17, 95 (1966).
60. C. B. Duke, Tunneling in Solids (Academic Press, New York, 1969).
61. J. M. Rowell, in: Tunneling Phenomena in Solids, edited by E. Burstein and S. Lundqvist (Plenum Press, New York, 1969), p. 385.
62. L. Kouwenhoven and L. Glazman, Phys. World 14, 33 (2001).
63. L. P. Kouwenhoven et al., in: Mesoscopic Electron Transport, edited by L. L. Sohn et al. (Kluwer, Dordrecht, 1997), pp. 105-214.
64. M. A. Kastner, Rev. Mod. Phys. 64, 849 (1992).
65. U. Meirav and E. B. Foxman, Semicond. Sci. Technol. 11, 255 (1996).
66. I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Phys. Rep. 358, 309 (2002).
67. I. Giaever and H. R. Zeller, Phys. Rev. Lett. 20, 1504 (1968).
68. H. R. Zeller and I. Giaever, Phys. Rev. 181, 789 (1969).
69. J. Lambe and R. C. Jaklevic, Phys. Rev. Lett. 22, 1371 (1969).
70. The concept of charging was invoked in order to explain the early data on the in-plane transport in granular films in C. J. Gorter, Physica 17, 777 (1951).
71. C. A. Neugebauer and M. B. Webb, J. Appl. Phys. 33, 74 (1962).
72. C ∼ 1 meV, while the mean single-particle level spacing δE is roughly 10 times smaller. Hence, both the charging effects and the effects associated with the quantization of the single-particle energy levels can be resolved in transport experiments performed in dilution refrigerators with base temperatures below 50 mK [30].
73. This is an excellent approximation for lateral quantum dot systems formed by the gate depletion of two-dimensional electron gas at the interface between two semiconductors [30] (see the discussion in [11, 31, 50] and references therein), but not neseccarily for other systems of interest, see, e.g., [48].
74. R. I. Shekhter, Zh. Eksp. Teor. Fiz. 63, 1410 (1972)
75. [Sov. Phys. - JETP 36, 747 (1973)].
76. I. O. Kulik and R. I. Shekhter, Zh. Eksp. Teor. Fiz. 62, 623 (1975)
77. [Sov. Phys. - JETP 41, 308 (1975)].
78. D. V. Averin and K. K. Likharev, J. Low Temp. Phys. 62, 345 (1986).
79. L. I. Glazman and R. I. Shekhter, J. Phys.: Condens. Matter 1, 5811 (1989).
80. D. V. Averin and K. K. Likharev, in: Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (Elsevier, Amsterdam, 1991), p. 173.
81. Note that having a finite inelastic relaxation rate requires inclusion of mechanisms beyond the model Eq. (8), e.g., electron-phonon collisions.
82. L. I. Glazman and K. A. Matveev, Pis'ma Zh. Eksp. Teor. Fiz. 48, 403 (1988)
83. [JETP Lett. 48, 445 (1988)].
84. C. W. J. Beenakker, Phys. Rev. B 44, 1646 (1991).
85. D. V. Averin, A. N. Korotkov, and K. K. Likharev, Phys. Rev. B 44, 6199 (1991).
86. D. V. Averin and Yu. V. Nazarov, Phys. Rev. Lett. 65, 2446 (1990).
87. I. L. Aleiner and L. I. Glazman, Phys. Rev. Lett. 77, 2057 (1996).
88. L. I. Glazman and M. E. Raikh, Pis'ma Zh. Eksp. Teor. Fiz. 47, 378 (1988)
89. [JETP Lett. 47, 452 (1988)].
90. T. K. Ng and P. A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
91. R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Dover, Mineola, NY, 2002).
92. D. C. Langreth, Phys. Rev. 150, 516 (1966).
93. M. Pustilnik, Y. Avishai, and K. Kikoin, Phys. Rev. Lett. 84, 1756 (2000).
94. M. Eto and Yu. V. Nazarov, Phys. Rev. Lett. 85, 1306 (2000).
95. M. Pustilnik and L. I. Glazman, Phys. Rev. Lett. 85, 2993 (2000);
96. Phys. Rev. B 64, 045328 (2001).
97. V. N. Golovach and D. Loss, Europhys. Lett. 62, 83 (2003).
98. M. Pustilnik, L. I. Glazman, and W. Hofstetter, Phys. Rev. B 68, 161303(R) (2003).
99. M. Pustilnik and L. I. Glazman, Phys. Rev. Lett. 87, 216601 (2001).
100. L. Borda et al., Phys. Rev. Lett. 90, 026602 (2003).
101. K. A. Matveev, Zh. Eksp. Teor. Fiz. 99, 1598 (1991)
102. [Sov. Phys. - JETP 72, 892 (1991)].
103. K. A. Matveev, Phys. Rev. B 51, 1743 (1995).
104. P. Nozières and A. Blandin, J. Phys. 41, 193 (1980).
105. Y. Oreg and D. Goldhaber-Gordon, Phys. Rev. Lett. 90, 136602 (2003).
106. M. Pustilnik et al., Phys. Rev. B 69, 115316 (2004).