Kondo Effect in Quantum Dots

  • L. I. Glazman
  • F. W. J. Hekking
  • A. I. Larkin
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 547)


Kondo effect in a quantum dot is discussed. In the standard Coulomb blockade setting, tunneling between the dot and leads is weak, the number of electrons in the dot is well-defined and discrete; Kondo effect may be considered in the framework of the conventional one-level Anderson impurity model. It turns out however, that the Kondo temperature TK in the case of weak tunneling is extremely low. In the opposite case of almost reflectionless single-mode junctions connecting the dot to the leads, the average charge of the dot is not discrete. Surprisingly, its spin may remain quantized: s = 1/2 or s = 0, depending (periodically) on the gate voltage. Such a “spin-charge separation” occurs because, unlike Anderson impurity, quantum dot carries a broad-band, dense spectrum of discrete levels. In the doublet state, Kondo effect with a significantly enhanced TK develops.


Gate Voltage Spin Mode Magnetic Impurity Discrete Level Luttinger Liquid 
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  1. Aleiner, I.L. and Glazman L.I. (1998): Phys. Rev. B 57, 9608.Google Scholar
  2. Anderson, P.W. (1961): Phys. Rev. 124, 41.CrossRefGoogle Scholar
  3. Anderson, P.W. (1966): Phys. Rev. Lett. 17, 95.CrossRefGoogle Scholar
  4. Appelbaum, J. (1966): Phys. Rev. Lett. 17, 91.CrossRefGoogle Scholar
  5. Averin, D.V. and Nazarov, Yu.N. (1990): Phys. Rev. Lett. 65, 2446.CrossRefGoogle Scholar
  6. Costi, T.A., Hewson, A.C. and Zlatić, V. (1994): J. Phys. Condens. Matter 6, 2519.CrossRefGoogle Scholar
  7. Cronenwett, S.M., Oosterkamp, T.H., and Kouwenhoven, L.P. (1998): Science 281, 540.CrossRefGoogle Scholar
  8. Furusaki, A. and Matveev, K.A. (1995): Phys. Rev. B 52, 16676.Google Scholar
  9. Glazman, L.I. and Raikh, M.E. (1988): JETP Lett. 47, 452.Google Scholar
  10. Glazman, L.I. and Matveev, K.A. (1990): Sov. Phys. JETP 71, 1031.Google Scholar
  11. Goldhaber-Gordon, D. et al. (1998): Nature (London) 391, 156; Phys. Rev. Lett. 81, 5225.Google Scholar
  12. Haldane, F.D.M. (1979): Phys. Rev. Lett. 40, 416.CrossRefGoogle Scholar
  13. Haldane, F.D.M. (1981): J. Phys. C: Solid State Phys. 14, 2585.CrossRefGoogle Scholar
  14. Kane, C.L. and Fisher, M.P.A. (1992): Phys. Rev. B 46, 15233.Google Scholar
  15. Kondo, J. (1964): Prog. Theor. Phys. 32, 37.CrossRefGoogle Scholar
  16. Matveev, K.A. (1991): Sov. Phys. JETP 72, 892.Google Scholar
  17. Matveev, K.A. (1995): Phys. Rev. B 51, 1743.Google Scholar
  18. Ng, T.K. and Lee, P.A. (1988): Phys. Rev. Lett. 61, 1768.CrossRefGoogle Scholar
  19. Nozières, P. (1974): J. Low Temp. Phys. 17, 31.CrossRefGoogle Scholar
  20. Rowell, J.M. (1969): in Tunneling Phenomena in Solids, edited by E. Burstein and S. Lundquist (Plenum, New York, 1969), p. 385.Google Scholar
  21. Schmid, J. (1998): Physica B 256–258, 182.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • L. I. Glazman
    • 1
  • F. W. J. Hekking
    • 2
  • A. I. Larkin
    • 1
    • 3
  1. 1.Theoretical Physics InstituteUniversity of MinnesotaMinneapolisUSA
  2. 2.Theoretische Physik IIIRuhr-Universität BochumBochumGermany
  3. 3.L.D. Landau Institute for Theoretical PhysicsMoscowRussia

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