Abstract
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.
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References
Aleiner, I.L. and Glazman L.I. (1998): Phys. Rev. B 57, 9608.
Anderson, P.W. (1961): Phys. Rev. 124, 41.
Anderson, P.W. (1966): Phys. Rev. Lett. 17, 95.
Appelbaum, J. (1966): Phys. Rev. Lett. 17, 91.
Averin, D.V. and Nazarov, Yu.N. (1990): Phys. Rev. Lett. 65, 2446.
Costi, T.A., Hewson, A.C. and Zlatić, V. (1994): J. Phys. Condens. Matter 6, 2519.
Cronenwett, S.M., Oosterkamp, T.H., and Kouwenhoven, L.P. (1998): Science 281, 540.
Furusaki, A. and Matveev, K.A. (1995): Phys. Rev. B 52, 16676.
Glazman, L.I. and Raikh, M.E. (1988): JETP Lett. 47, 452.
Glazman, L.I. and Matveev, K.A. (1990): Sov. Phys. JETP 71, 1031.
Goldhaber-Gordon, D. et al. (1998): Nature (London) 391, 156; Phys. Rev. Lett. 81, 5225.
Haldane, F.D.M. (1979): Phys. Rev. Lett. 40, 416.
Haldane, F.D.M. (1981): J. Phys. C: Solid State Phys. 14, 2585.
Kane, C.L. and Fisher, M.P.A. (1992): Phys. Rev. B 46, 15233.
Kondo, J. (1964): Prog. Theor. Phys. 32, 37.
Matveev, K.A. (1991): Sov. Phys. JETP 72, 892.
Matveev, K.A. (1995): Phys. Rev. B 51, 1743.
Ng, T.K. and Lee, P.A. (1988): Phys. Rev. Lett. 61, 1768.
Nozières, P. (1974): J. Low Temp. Phys. 17, 31.
Rowell, J.M. (1969): in Tunneling Phenomena in Solids, edited by E. Burstein and S. Lundquist (Plenum, New York, 1969), p. 385.
Schmid, J. (1998): Physica B 256–258, 182.
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Glazman, L.I., Hekking, F.W.J., Larkin, A.I. (1999). Kondo Effect in Quantum Dots. In: Reguera, D., Rubí, J.M., Platero, G., Bonilla, L.L. (eds) Statistical and Dynamical Aspects of Mesoscopic Systems. Lecture Notes in Physics, vol 547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45557-4_2
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DOI: https://doi.org/10.1007/3-540-45557-4_2
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