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Single Electron Tunneling

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Abstract

This is a brief review of some recent developments inexperiments and theory of the Coulomb blockade phenomenon. Weconcentrate on electron tunneling through semiconductorquantum dots and normal-metal nanoparticles. The linearconductance and non-linear I–V characteristics are sensitivenot only to the charging energy, but also to smaller energyscales. These are the spacing between discrete energy levelsof intra-dot electron excitations, and the width these levelsacquire due to the electron escape to leads through thejunctions. At sufficiently low temperatures, or at not-so-small junction conductances, the many-body phenomena, such asKondo effect, become observable in the dot-lead system. Kondoeffect yields an additional fine energy scale to the problem.We discuss a simple theoretical model incorporating theseenergy scales, and its relation to the experimentalobservations.

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REFERENCES

  1. C.J. Gorter, Physica 17, 777 (1951).

    Google Scholar 

  2. C.A. Neugebauer and M.B. Webb, J. Appl. Phys. 33, 74 (1962).

    Google Scholar 

  3. I. Giaever and H.R Zeller, Phys. Rev. Lett. 20, 1504 (1968); Phys. Rev. 181, 789 (1969).

    Google Scholar 

  4. J. Lambe and R.C. Jaklevic, Phys. Rev. Lett. 22, 1371 (1961).

    Google Scholar 

  5. R.I. Shekhter, Sov. Phys. JETP 36, 747 (1973).

    Google Scholar 

  6. I.O. Kulik and RL Shekhter, Sov. Phys. JETP 41, 308 (1975).

    Google Scholar 

  7. L.S. Kuz'min and KK Likharev, JETP Lett., 45, 495 (1987).

    Google Scholar 

  8. P.J.M. van Bentum, RT.M. Smokers, and II. van Kempen, Phys. Rev. Lett., 80, 2543 (1988).

    Google Scholar 

  9. R Wilkins, E. Ben-Jacob, and RC. Jaklevic, Phys. Rev. Lett. 63, 801 (1989).

    Google Scholar 

  10. KA. McGreer, J.-C. Wan, N. Anand, and A.M. Goldman, Phys. Rev. B 39, 12260 (1989).

    Google Scholar 

  11. J.-C. Wan et al., Phys. Rev B 43, R9381 (1991).

    Google Scholar 

  12. D.V. Averin, KK Likharev, in SQUID'85: Superconducting Quantum Interference Devices and Their Applications, ed. by H.-D. Hahlbohm and H. Libbig (de Gruyter, Berlin, 1986).

    Google Scholar 

  13. T.A. Fulton and G.J. Dolan, Phys. Rev. Lett. 59, 109 (1987).

    Google Scholar 

  14. L.T. Glazman and R.L Shekhter, J. Phys. Condens. Matter. 1, 5811 (1989).

    Google Scholar 

  15. P. Joyez et aI., Phys. Rev. Lett. 79, 1349 (1997).

    Google Scholar 

  16. L.P. Kouwenhoven, C.M. Marcus, P.L. McEuen, S. Tarucha, R.M. Westerwelt, and N.S. Wingreen, in Mesoscopic Electron Transport, ed. by L.L. Sohn, L.P. Kouwenhoven, and G. Schon (Kluwer, Dordrecht, 1997).

    Google Scholar 

  17. D.V. Averin and A.N. Korotkov, Sov. Phys. JETP 70, 937 (1990).

    Google Scholar 

  18. D. Goldhaber-Gordon et al., Nature (London) 391, 156 (1998); D. GoldhaberGordon et al., Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, Physica B 256-258, 182 (1998).

    Google Scholar 

  19. D. Davidovic and M. Tinkham, preprint cond-mat/9905043; M. Tinkham, this Issue.

  20. M.P.A. Fisher and L.I. Glazman, in: Mesoscopic Electron Transport, ed. by L.L. Sohn, L.P. Kouwenhoven, and G. Schon, (Kluwer Press, Netherlands, 1997), p. 331.

    Google Scholar 

  21. D.J. Thouless, Phys. Rev. Lett. 39, 1167 (1977).

    Google Scholar 

  22. For a review, see: C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).

    Google Scholar 

  23. M.L. Mehta, Random Matrices (Academic, New York, 1991).

    Google Scholar 

  24. B.L. Altshuler, Y. Gefen, A. Kamenev, L.S. Levitov, Phys. Rev. Lett. 78, 2803 (1997).

    Google Scholar 

  25. O. Agam, N.S. Wingreen, B.L. Altshuler, D.C. Ralph, and M. Tinkham, Phys. Rev. Lett. 78, 1956 (1997).

    Google Scholar 

  26. Ya.M. Blanter, Phys. Rev. B 54, 12807 (1996).

    Google Scholar 

  27. Ya.M. Blanter and A.D. Mirlin, Phys. Rev. E 55, 6514 (1997).

    Google Scholar 

  28. I.L. Aleiner and L.I. Glazman, Phys. Rev. B 57, 9608 (1998).

    Google Scholar 

  29. I.L. Aleiner, P.W. Brouwer, and L.I. Glazman, Quantum Effects in Coulomb Blockade, manuscript in preparation.

  30. J.M. Ziman, Principles of the Theory of Solids, (Cambridge University Press, Cambridge, 1972), p. 339.

    Google Scholar 

  31. I. Kurlyand, I.L. Aleiner, and B.L. Altshuler, unpublished.

  32. H.U. Baranger, D. Ullmo, and L.I. Glazman, preprint cond-mat/9907151.

  33. P.W. Brouwer, Y. Oreg, and B.I. Halperin, preprint cond-mat/9907148 (1999)

  34. K.A. Matveev and A.I. Larkin, Phys. Rev. Lett. 78, 3749 (1997).

    Google Scholar 

  35. S.D. Berger and B.I. Halperin, Phys. Rev. B, 58, 5213 (1997).

    Google Scholar 

  36. A. Mastellone, G. Falci, and R. Fazio, Phys. Rev. Lett., 80, 4542 (1998).

    Google Scholar 

  37. Ya.M. Blanter, A.D. Mirlin, and B.A. Muzykantskii, Phys. Rev. Lett. 78, 2449 (1997).

    Google Scholar 

  38. U. Sivan, Y. Imry, and A.G. Aronov, Europhys. Lett. 28, 115 (1994).

    Google Scholar 

  39. U. Sivan et aI., Europhys. Lett., 25, 605 (1994).

    Google Scholar 

  40. S. Tarucha et al., Phys. Rev. Lett. 77, 3613 (1996); L.P. Kouwenhoven et al., Science, 278, 1788 (1997)

    Google Scholar 

  41. Paul L. McEuen, this issue.

  42. Cees Dekker, this issue.

  43. R.A. Jalabert, A.D. Stone, and Y. Alhassid, Phys. Rev. Lett. 6, 3468 (1992).

    Google Scholar 

  44. A.M. Chang et al., Phys. Rev. Lett. 76, 1695 (1996).

    Google Scholar 

  45. J.A. Folk et al., Phys. Rev. Lett. 76, 1699 (1996).

    Google Scholar 

  46. Y. Alhassid and H. Attias, Phys. Rev. Lett. 76, 1711 (1996).

    Google Scholar 

  47. E.E. Narimanov, N.R. Cerruti, H.U. Baranger, and S. Tomsovic, Phys. Rev. Lett. 83, 2640 (1999).

    Google Scholar 

  48. D.V. Averin and Yu.N. Nazarov, Phys. Rev. Lett. 65, 2446 (1990).

    Google Scholar 

  49. I.L. Aleiner and L.I. Glazman, Phys. Rev. Lett. 77, 2057 (1996).

    Google Scholar 

  50. A. Kaminski, I.L. Aleiner and L.I. Glazman, Phys. Rev. Lett. 81, 685 (1998).

    Google Scholar 

  51. S.M. Cronenwett et al., Phys. Rev. Lett. 79, 2312 (1997).

    Google Scholar 

  52. U. Sivan et al., Phys. Rev. Lett. 77, 1123 (1996).

    Google Scholar 

  53. F. Sirnmel, T. Heinzel, and D.A. Whararn, Europhys. Lett. 38, 123 (1997); F. Simmel et al., Phys. Rev. B 59, R10441 (1999).

    Google Scholar 

  54. S.R. Patel et al., Phys. Rev. Lett. 80, 4522 (1998).

    Google Scholar 

  55. D. R. Stewart et al., Science 278, 1784 (1997)

    Google Scholar 

  56. See P.N. Walker, Y. Gefen, and G. Montambaux, Phys. Rev. Lett. 82, 5329 (1998), and references therein.

    Google Scholar 

  57. R.O. Vallejos, C.H. Lewenkopf, and E.R. Mucciolo, Phys. Rev. Lett. 81, 677 (1998).

    Google Scholar 

  58. Bo Su, V.J. Goldman, and J.E. Cunningham, Phys. Rev. B 46, 7644 (1992).

    Google Scholar 

  59. S.R. Patel et al., Phys. Rev. Lett. 81, 5900 (1998).

    Google Scholar 

  60. J. Kondo, Prog. Theor. Phys. 32, 37 (1964).

    Google Scholar 

  61. J. Appelbaum, Phys. Rev. Lett. 17, 91 (1966); P.W. Anderson, Phys. Rev. Lett. 17, 95 (1966); J.M. Rowell, in Tunneling Phenomena in Solids, edited by E. Burstein and S. Lundquist (Plenum, New York, (1969), p. 385.

    Google Scholar 

  62. P. Nozieres, J. Low Temp. Phys. 17, 31, 1974.

    Google Scholar 

  63. T.K Ng and P.A. Lee, Phys. Rev. Lett. 61, 1768 (1988).

    Google Scholar 

  64. L.I. Glazman and M.E. Raikh, JETP Lett. 47, 452 (1988).

    Google Scholar 

  65. P.W. Anderson, Phys. Rev. 124, 41 (1961).

    Google Scholar 

  66. F.D.M. Haldane, Phys. Rev. Lett. 40, 416 (1979).

    Google Scholar 

  67. L.I. Glazman and K.A. Matveev, Sov. Phys. JETP 71, 1031 (1990); KA. Matveev, ibid. 72, 892 (1991).

    Google Scholar 

  68. KA. Matveev, Phys. Rev. B 51, 1743 (1995).

    Google Scholar 

  69. L.I. Glazman, F.W.J. Hekking, and A.I. Larkin, Phys. Rev. Lett. 83, 1830 (1999).

    Google Scholar 

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Glazman, L.I. Single Electron Tunneling. Journal of Low Temperature Physics 118, 247–269 (2000). https://doi.org/10.1023/A:1004654129125

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