Abstract
We review the mechanisms of low-temperature electron transport across a quantum dot weakly coupled to two conducting leads. Conduction in this case is controlled by the interaction between electrons. At temperatures moderately lower than the single-electron charging energy of the dot, the linear conductance is suppressed by the Coulomb blockade. Upon further lowering of the temperature, however, the conductance may start to increase again due to the Kondo effect. This increase occurs only if the dot has a non-zero spin S. We concentrate on the simplest case of S = 1/2, and discuss the conductance across the dot in a broad temperature range, which includes the Kondo temperature. Temperature dependence of the linear conductance in the Kondo regime is discussed in detail. We also consider a simple (but realistic) limit in which the differential conductance at a finite bias can be fully investigated.
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References
L. P. Kouwenhoven et. al., in Mesoscopic Electron Transport, eds. L.L. Sohn, L.P. Kouwenhoven, and G. Schön (Kluwer, Netherlands, 1997), p. 105.
P. Joyez et. al., Phys. Rev. Lett. 79, 1349 (1997).
D. Goldhaber-Gordon et. al., Nature (London) 391, 156 (1998); S.M. Cronen-wett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid et. al., Physica (Amsterdam) 256B-258B, 182 (1998). Science 289, 2105-2108 (2000).
L. Kouwenhoven and L. Glazman, Physics World 14, 33 (2001).
J. Kondo,Prog. Theor. Phys. 32, 37 (1964).
C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
M.L. Mehta, Random Matrices (Academic Press, New York, 1991).
B.L. Altshuler et. al., Phys. Rev. Lett. 78, 2803 (1997); O. Agam et. al., Phys. Rev. Lett. 78, 1956 (1997); Ya.M. Blanter, Phys. Rev. B 54, 12807 (1996); Ya.M. Blanter and A.D. Mirlin, Phys. Rev. E 55, 6514 (1997); I.L. Aleiner and L.I. Glazman, Phys. Rev. B 57, 9608 (1998).
I.L. Aleiner, P.W. Brouwer, and L.I. Glazman, Phys. Rep. 358, 309 (2002).
D. Davidovic and M. Tinkham, Phys. Rev. Lett. 83, 1644 (1999).
M.P.A. Fisher and L.I. Glazman, in Mesoscopic Electron Transport, eds. L.L. Sohn, L.P. Kouwenhoven, and G. Schön (Kluwer, Netherlands, 1997), p. 331.
J.M. Ziman, Principles of the Theory of Solids, (Cambridge University Press, Cambridge, 1972), p.339.
P.W. Brouwer, Y. Oreg, and B.I. Halperin, Phys. Rev. B 60, R13 977 (1999)
H.U. Baranger, D. Ullmo, and L.I. Glazman, Phys. Rev. B 61, R2425 (2000)
I.L. Kurland, I.L. Aleiner, and B.L. Altshuler, Phys. Rev. B 62, 14886 (2000).
Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000).
I.O. Kulik and R.I. Shekhter, Sov. Phys. JETP 41, 308 (1975); L.I. Glazman and R.I. Shekhter, J. Phys. Cond. Matt. 1, 5811 (1989).
I. Giaever and H.R. Zeller, Phys. Rev. Lett. 20, 1504 (1968); H.R. Zeller and I. Giaever, Phys. Rev. 181, 789 (1969).
D.V. Averin and Yu.V. Nazarov, Phys. Rev. Lett. 65, 2446 (1990).
A.A. Abrikosov, Fundamentals of the Theory of Metals, (North-Holland, Amsterdam, 1988), p. 620.
I.L. Aleiner and L.I. Glazman, Phys. Rev. Lett. 77, 2057 (1996).
L.I. Glazman and M.E. Raikh, JETP Lett. 47, 452 (1988); T.K. Ng and P.A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
W.G. van der Wiel et. al., Phys. Rev. Lett. 88, 126803 (2002).
C. B. Duke, Tunneling in Solids (Academic Press, New York, 1969); J. M. Rowell, in Tunneling Phenomena in Solids, eds. E. Burstein and S. Lundqvist (Plenum, New York, 1969), p. 385.
A.F.G. Wyatt, Phys. Rev. Lett. 13, 401 (1964); R.A. Logan and J.M. Rowell, Phys. Rev. Lett. 13, 404 (1964).
J. Appelbaum, Phys. Rev. Lett. 17, 91 (1966); P.W. Anderson, Phys. Rev. Lett. 17, 95 (1966).
M. Pustilnik and L.I. Glazman, Phys. Rev. Lett. 87, 216601 (2001).
A.M. Tsvelick and P.B. Wiegmann, Advances in Phys. 32, 453 (1983); N. Andrei, K. Furuya, and J.H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983).
M. Pustilnik and L.I. Glazman, Phys. Rev. B 64, 045328 (2001).
P.W. Anderson, Basic Notions of Condensed Matter Physics (Addison-Wesley, Reading, 1997).
K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975).
L.I. Glazman, F.W.J. Hekking, and A.I. Larkin, Phys. Rev. Lett. 83, 1830 (1999).
G.D. Mahan, Many-Particle Physics (Plenum, New York, 1990).
P.W. Anderson, J. Phys. C 3, 2436 (1970).
A.A. Abrikosov, Physics 2, 21 (1965).
P. Nozières J. Low Temp. Phys. 17, 31 (1974);
I. Affleck and A.W.W. Ludwig, Phys. Rev. B 48, 7297 (1993).
T.A. Costi, A.C. Hewson, and V. Zlatić, J. Phys.: Cond. Mat. 6, 2519 (1994).
M. Pustilnik et. al., Lecture Notes in Physics, 579, 3 (2001).
J.M. Elzerman et. al., J. Low Temp. Phys. 118, 375 (2000).
A. Kaminski, Yu.V. Nazarov, and L.I. Glazman, Phys. Rev. Lett. 83, 384 (1999).
J.A. Appelbaum, Phys. Rev. 154, 633 (1967).
Y. Meir, N.S. Wingreen, and P.A. Lee, Phys. Rev. Lett. 70, 2601 (1993).
A. Rosch, J. Kroha, P. Wolfle, Phys. Rev. Lett. 87, 156802 (2001).
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Glazman, L.I., Pustilnik, M. (2003). Coulomb blockade and Kondo effect in quantum dots. In: Fazio, R., Gantmakher, V.F., Imry, Y. (eds) New Directions in Mesoscopic Physics (Towards Nanoscience). NATO Science Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1021-4_4
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DOI: https://doi.org/10.1007/978-94-007-1021-4_4
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