Abstract
We review mechanisms of low-temperature electronic transport through a quantum dot weakly coupled to two conducting leads. Transport in this case is dominated by electron-electron interaction. At temperatures moderately lower than the 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. We concentrate on lateral quantum dot systems and discuss the conductance in a broad temperature range, which includes the Kondo regime.
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REFERENCES
L.P. Kouwenhoven et al. (1997) L.L. Sohn (Eds) Mesoscopic Electron Transport Kluwer Dordrecht 105–214
M.A. Kastner (1992) Rev. Mod. Phys. 64 849 Occurrence Handle10.1103/RevModPhys.64.849
U. Meirav E.B. Foxman (1996) Semicond. Sci. Technol. 11 255 Occurrence Handle10.1088/0268-1242/11/3/003 Occurrence Handle1:CAS:528:DyaK28Xhs1Git78%3D
L.P. Kouwenhoven et al: In: Mesoscopic Electron Transport, ed by L.L. Sohn et al (Kluwer, Dordrecht 1997) pp 105–214 M.A. Kastner: Rev. Mod. Phys. 64, 849 (1992) U. Meirav, E.B. Foxman: Semicond. Sci. Technol. 11, 255 (1996) L.P. Kouwenhoven, C.M. Marcus: Phys. World 11, 35 (1998)
P. Joyez et al. (1997) Phys. Rev. Lett. 79 1349 Occurrence Handle10.1103/PhysRevLett.79.1349 Occurrence Handle1:CAS:528:DyaK2sXlvVekt7k%3D
P. Joyez et al: Phys. Rev. Lett. 79, 1349 (1997) M. Devoret, C. Glattli: Phys. World 11, 29 (1998)
D. Goldhaber-Gordon et al. (1998) Nature 391 156 Occurrence Handle10.1038/34373 Occurrence Handle1:CAS:528:DyaK1cXmtVGqsw%3D%3D
S.M. Cronenwett T.H. Oosterkamp L.P. Kouwenhoven (1998) Science 281 540 Occurrence Handle10.1126/science.281.5376.540 Occurrence Handle1:CAS:528:DyaK1cXkvFClt7k%3D Occurrence Handle9677192
D. Goldhaber-Gordon et al: Nature 391, 156 (1998) S.M. Cronenwett, T.H. Oosterkamp, L.P. Kouwenhoven: Science 281, 540 (1998) J. Schmid et al: Physica B 256–258, 182 (1998)
L. Kouwenhoven, L. Glazman: Physics World 14, 33 (2001)
J. Kondo: Prog. Theor. Phys. 32, 37 (1964)
B.L. Altshuler, A.G. Aronov: In: Electron-Electron Interactions in Disordered Systems, ed by A.L. Efros and M. Pollak (North-Holland, Amsterdam 1985) p 1
S. Tarucha et al. (2000) Phys. Rev. Lett. 84 2485
S. Tarucha et al: Phys. Rev. Lett. 84, 2485 (2000) L.P. Kouwenhoven, D.G. Austing, S. Tarucha: Rep. Prog. Phys. 64, 701 (2001)
S. Sasaki et al. (2000) Nature 405 764 Occurrence Handle10.1038/35015509 Occurrence Handle1:CAS:528:DC%2BD3cXksVOru7c%3D Occurrence Handle10866190
S. Sasaki et al: Nature 405, 764 (2000) S. Sasaki et al: Phys. Rev. Lett. 93, 017205 (2004)
M. Pustilnik et al: Lecture Notes in Physics 579, 3 (2001)
J. Nygård D.H. Cobden P.E. Lindelof (2000) Nature 408 342 Occurrence Handle10.1038/35042545 Occurrence Handle11099037
J. Nygård, D.H. Cobden, P.E. Lindelof: Nature 408, 342 (2000) W. Liang, M. Bockrath, H. Park: Phys. Rev. Lett. 88, 126801 (2002) B. Babić, T. Kontos, C. Schönenberger: Preprint cond-mat/0407193
J. Park et al. (2002) Nature 417 722 Occurrence Handle10.1038/nature00791 Occurrence Handle1:CAS:528:DC%2BD38XksVGjtb0%3D Occurrence Handle12066179
W. Liang et al. (2002) Nature 417 725 Occurrence Handle10.1038/nature00790 Occurrence Handle1:CAS:528:DC%2BD38XksVGjtb8%3D Occurrence Handle12066180
J. Park et al: Nature 417, 722 (2002) W. Liang et al: Nature 417, 725 (2002) L.H. Yu, D. Natelson: Nano Lett. 4, 79 (2004)
L.T. Li et al. (1998) Phys. Rev. Lett. 80 2893 Occurrence Handle10.1103/PhysRevLett.80.2893 Occurrence Handle1:CAS:528:DyaK1cXitVShtbY%3D
V. Madhavan et al. (1998) Science 280 567 Occurrence Handle10.1126/science.280.5363.567 Occurrence Handle1:CAS:528:DyaK1cXjtVWrtLo%3D Occurrence Handle9554843
L.T. Li et al: Phys. Rev. Lett. 80, 2893 (1998) V. Madhavan et al: Science 280, 567 (1998) H.C. Manoharan et al: Nature 403, 512 (2000)
M.V. Berry (1985) Proc. R. Soc. A 400 229 Occurrence Handle1:CAS:528:DyaL2MXlt12gtrs%3D
M.V. Berry: Proc. R. Soc. A 400, 229 (1985) B.L. Altshuler, B.I. Shklovskii: Sov. Phys.–JETP 64, 127 (1986)
C.W.J. Beenakker: Rev. Mod. Phys. 69, 731 (1997)
Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000)
F. Haake: Quantum Signatures of Chaos (Springer, New York 2001)
K. Efetov: Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge 1997)
B.L. Altshuler et al. (1997) Phys. Rev. Lett. 78 2803 Occurrence Handle10.1103/PhysRevLett.78.2803 Occurrence Handle1:CAS:528:DyaK2sXisVWiuro%3D
O. Agam et al. (1997) Phys. Rev. Lett. 78 1956 Occurrence Handle10.1103/PhysRevLett.78.1956 Occurrence Handle1:CAS:528:DyaK2sXhvVajs7s%3D
Ya.M. Blanter (1996) Phys. Rev. 54 12807 Occurrence Handle10.1103/PhysRevB.54.12807 Occurrence Handle1:CAS:528:DyaK28XmvV2ltbw%3D
Ya.M. Blanter A.D. Mirlin (1998) Phys. Rev. 57 4566 Occurrence Handle10.1103/PhysRevB.57.4566 Occurrence Handle1:CAS:528:DyaK1cXhtFyjt70%3D
Ya.M. Blanter A.D. Mirlin B.A. Muzykantskii (1997) Phys. Rev. Lett. 78 2449 Occurrence Handle10.1103/PhysRevLett.78.2449 Occurrence Handle1:CAS:528:DyaK2sXitVynt78%3D
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. 54, 12807 (1996) Ya.M. Blanter, A.D. Mirlin: Phys. Rev. 57, 4566 (1998) Ya.M. Blanter, A.D. Mirlin, B.A. Muzykantskii: Phys. Rev. Lett. 78, 2449 (1997) I.L. Aleiner, L.I. Glazman: Phys. Rev. 57, 9608 (1998)
I.L. Kurland, I.L. Aleiner, B.L. Altshuler: Phys. Rev. 62, 14886 (2000)
I.L. Aleiner, P.W. Brouwer, L.I. Glazman: Phys. Rep. 358, 309 (2002)
M.V. Berry (1977) Journ. of Phys. A 10 2083
M.V. Berry: Journ. of Phys. A 10, 2083 (1977) A.D. Mirlin: Phys. Rep. 326, 259 (2000)
J.A. Folk et al: Phys. Rev. Lett. 76, 1699 (1996)
J.M. Ziman: Principles of the Theory of Solids (Cambridge University Press, Cambridge 1972) p 339
J. von Delft, D.C. Ralph: Phys. Rep. 345, 61 (2001)
K.A. Matveev, L.I. Glazman, R.I. Shekhter: Mod. Phys. Lett. B 8, 1007 (1994)
P.W. Brouwer Y. Oreg B.I. Halperin (1999) Phys. Rev. 60 R13977 Occurrence Handle10.1103/PhysRevB.60.R13977 Occurrence Handle1:CAS:528:DyaK1MXnsF2jtr0%3D
P.W. Brouwer, Y. Oreg, B.I. Halperin: Phys. Rev. 60, R13977 (1999) H.U. Baranger, D. Ullmo, L.I. Glazman: Phys. Rev. 61, R2425 (2000)
R.M. Potok et al. (2003) Phys. Rev. Lett. 91 016802 Occurrence Handle10.1103/PhysRevLett.91.016802 Occurrence Handle1:STN:280:DC%2BD3sznt12lug%3D%3D Occurrence Handle12906563
J.A. Folk et al. (2001) Phys. Scripta T90 26 Occurrence Handle10.1238/Physica.Topical.090a00026 Occurrence Handle1:CAS:528:DC%2BD3MXivFGqtL4%3D
R.M. Potok et al: Phys. Rev. Lett. 91, 016802 (2003) J.A. Folk et al: Phys. Scripta T90, 26 (2001) S. Lindemann et al: Phys. Rev. 66, 195314 (2002)
K.A. Matveev: Phys. Rev. 51, 1743 (1995)
K. Flensberg: Phys. Rev. 48, 11156 (1993)
M. Pustilnik, L.I. Glazman: Phys. Rev. Lett. 87, 216601 (2001)
C.E. Porter, R.G. Thomas: Phys. Rev. 104, 483 (1956)
I.O. Kulik R.I. Shekhter (1975) Sov. Phys.–JETP 41 308
I.O. Kulik, R.I. Shekhter: Sov. Phys.–JETP 41, 308 (1975) L.I. Glazman, R.I. Shekhter: Journ. of Phys.: Condens. Matter 1, 5811 (1989)
L.I. Glazman K.A. Matveev (1988) JETP Lett. 48 445
C.W.J. Beenakker (1991) Phys. Rev. 44 1646 Occurrence Handle10.1103/PhysRevB.44.1646
L.I. Glazman, K.A. Matveev: JETP Lett. 48, 445 (1988) C.W.J. Beenakker: Phys. Rev. 44, 1646 (1991) D.V. Averin, A.N. Korotkov, K.K. Likharev: Phys. Rev. 44, 6199 (1991)
R.A. Jalabert, A.D. Stone, Y. Alhassid: Phys. Rev. Lett. 68, 3468 (1992)
V.N. Prigodin, K.B. Efetov, S. Iida: Phys. Rev. Lett. 71, 1230 (1993)
A.M. Chang et al: Phys. Rev. Lett. 76, 1695 (1996)
B.L. Altshuler et al. (1980) Phys. Rev. 22 5142 Occurrence Handle10.1103/PhysRevB.22.5142 Occurrence Handle1:CAS:528:DyaL3cXmsVyktbw%3D
B.L. Altshuler et al: Phys. Rev. 22, 5142 (1980) S. Hikami, A.I. Larkin, Y. Nagaoka: Progr. Theor. Phys. 63, 707 (1980)
I. Giaever H.R. Zeller (1968) Phys. Rev. Lett. 20 1504 Occurrence Handle10.1103/PhysRevLett.20.1504 Occurrence Handle1:CAS:528:DyaF1cXktl2lsbw%3D
I. Giaever, H.R. Zeller: Phys. Rev. Lett. 20, 1504 (1968) H.R. Zeller, I. Giaever: Phys. Rev. 181, 789 (1969)
D.V. Averin, 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, L.I. Glazman: Phys. Rev. Lett. 77, 2057 (1996)
L.I. Glazman M.E. Raikh (1988) JETP Lett. 47 452
L.I. Glazman, M.E. Raikh: JETP Lett. 47, 452 (1988) T.K. Ng, P.A. Lee: Phys. Rev. Lett. 61, 1768 (1988)
W.G. van der Wiel et al. (2000) Science 289 2105 Occurrence Handle10.1126/science.289.5487.2105 Occurrence Handle1:CAS:528:DC%2BD3cXmvVCmtLg%3D Occurrence Handle11000108
W.G. van der Wiel et al: Science 289, 2105 (2000) Y. Ji, M. Heiblum, H. Shtrikman: Phys. Rev. Lett. 88, 076601 (2002)
L.I. Glazman, M. Pustilnik: In: New Directions in Mesoscopic Physics (Towards Nanoscience) ed by R. Fazio et al (Kluwer, Dordrecht 2003) p 93
C.B. Duke (1969) Tunneling in Solids Academic Press New York
C.B. Duke: Tunneling in Solids (Academic Press, New York 1969) J.M. Rowell: In: Tunneling Phenomena in Solids ed by E. Burstein, S. Lundqvist (Plenum Press, New York 1969) p 385
A.F.G. Wyatt (1964) Phys. Rev. Lett. 13 401 Occurrence Handle10.1103/PhysRevLett.13.401 Occurrence Handle1:CAS:528:DyaF2cXkvVyktb8%3D
A.F.G. Wyatt: Phys. Rev. Lett. 13, 401 (1964) R.A. Logan, J.M. Rowell: Phys. Rev. Lett. 13, 404 (1964)
J. Appelbaum (1966) Phys. Rev. Lett. 17 91 Occurrence Handle10.1103/PhysRevLett.17.91 Occurrence Handle1:CAS:528:DyaF28XksFarurg%3D
J. Appelbaum: Phys. Rev. Lett. 17, 91 (1966) J.A. Appelbaum: Phys. Rev. 154, 633 (1967)
P.W. Anderson: Phys. Rev. Lett. 17, 95 (1966)
G.A. Fiete et al: Phys. Rev. 66, 024431 (2002)
M. Pustilnik, L.I. Glazman: Journ. of Physics: Condens. Matter 16, R513 (2004)
J.R. Schrieffer, P.A. Wolff: Phys. Rev. 149, 491 (1966)
P.G. Silvestrov, Y. Imry: Phys. Rev. Lett. 85, 2565 (2000)
Y. Meir, N.S. Wingreen, P.A. Lee: Phys. Rev. Lett. 70, 2601 (1993)
P. Nozières, A. Blandin: J. Physique 41, 193 (1980)
P. Coleman (2002) F. Mancini (Eds) Lectures on the Physics of Highly Correlated Electron Systems VI American Institute of Physics New York 79–160
P. Coleman: In: Lectures on the Physics of Highly Correlated Electron Systems VI, ed. F. Mancini (American Institute of Physics, New York 2002) pp 79–160 (cond-mat/0206003) A.S. Hewson: The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge 1997)
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, A.I. Larkin: Phys. Rev. Lett. 83, 1830 (1999)
A.M. Tsvelick P.B. Wiegmann (1983) Adv. Phys. 32 453
A.M. Tsvelick, P.B. Wiegmann: Adv. Phys. 32, 453 (1983) N. Andrei, K. Furuya, J.H. Lowenstein: Rev. Mod. Phys. 55, 331 (1983)
I. Affleck, A.W.W. Ludwig: Phys. Rev. 48, 7297 (1993)
M. Pustilnik, L.I. Glazman: Phys. Rev. 64, 045328 (2001)
A.A. Abrikosov (1965) Physics 2 5 Occurrence Handle1:CAS:528:DyaF28XjtFOjtw%3D%3D
A.A. Abrikosov: Physics 2, 5 (1965) A.A. Abrikosov: Sov. Phys.–Uspekhi 12, 168 (1969)
R.G. Newton: Scattering Theory of Waves and Particles (Dover, Mineola 2002)
P.W. Anderson: Journ. of Physics C 3, 2436 (1970)
P.W. Anderson, G. Yuval, D.R. Hamann: Phys. Rev. 1, 4464 (1970)
P. Nozières (1974) J. Low Temp. Phys. 17 31 Occurrence Handle10.1007/BF00654541
P. Nozières: J. Low Temp. Phys. 17, 31 (1974) P. Nozières: J. Physique 39, 1117 (1978)
T.A. Costi, A.C. Hewson, V. Zlatić: Journ. of Physics: Condens. Matter 6, 2519 (1994)
J. Schmid et al: Phys. Rev. Lett. 84, 5824 (2000)
W.G. van der Wiel et al: Phys. Rev. Lett. 88, 126803 (2002)
A. Kogan et al: Phys. Rev. 67, 113309 (2003)
M. Pustilnik, Y. Avishai, K. Kikoin: Phys. Rev. Lett. 84, 1756 (2000)
V.N. Golovach D. Loss (2003) Europhys. Lett. 62 83 Occurrence Handle10.1209/epl/i2003-00365-x Occurrence Handle1:CAS:528:DC%2BD3sXjs1ehtb4%3D
V.N. Golovach, D. Loss: Europhys. Lett. 62, 83 (2003) M. Pustilnik, L.I. Glazman, W. Hofstetter: Phys. Rev. 68, 161303(R) (2003)
W. Izumida, O. Sakai,Y. Shimizu: J. Phys. Soc. Jpn. 67, 2444 (1998)
M. Eto Yu.V. Nazarov (2000) Phys. Rev. Lett. 85 1306 Occurrence Handle10.1103/PhysRevLett.85.1306 Occurrence Handle1:CAS:528:DC%2BD3cXlsVWku7s%3D Occurrence Handle10991538
M. Eto, Yu.V. Nazarov: Phys. Rev. Lett. 85, 1306 (2000) M. Pustilnik, L.I. Glazman: Phys. Rev. Lett. 85, 2993 (2000)
D.L. Losee, E.L. Wolf: Phys. Rev. Lett. 23, 1457 (1969)
A. Rosch et al: Phys. Rev. 68, 014430 (2003)
J.M. Elzerman et al: J. Low Temp. Phys. 118, 375 (2000)
P.K. Tien, J.P. Gordon: Phys. Rev. 129, 647 (1963)
M.H. Hettler and H. Schoeller: Phys. Rev. Lett. 74, 4907 (1995)
A. Kaminski Yu.V. Nazarov L.I. Glazman (1999) Phys. Rev. Lett. 83 384 Occurrence Handle10.1103/PhysRevLett.83.384 Occurrence Handle1:CAS:528:DyaK1MXksVChs7o%3D
A. Kaminski, Yu.V. Nazarov, L.I. Glazman: Phys. Rev. Lett. 83, 384 (1999) A. Kaminski, Yu.V. Nazarov, L.I. Glazman: Phys. Rev. 62, 8154 (2000)
K.A. Matveev: Sov. Phys.–JETP 72, 892 (1991)
D.L. Cox, A. Zawadowski: Adv. Phys. 47, 599 (1998)
Y. Oreg, D. Goldhaber-Gordon: Phys. Rev. Lett. 90, 136602 (2003)
M. Pustilnik et al: Phys. Rev. 69, 115316 (2004)
M. Keller et al. (2001) Phys. Rev. 64 033302 Occurrence Handle10.1103/PhysRevB.64.033302
M. Keller et al: Phys. Rev. 64, 033302 (2001) M. Stopa et al: Phys. Rev. Lett. 91, 046601 (2003)
S.M. Maurer et al. (1999) Phys. Rev. Lett. 83 1403 Occurrence Handle10.1103/PhysRevLett.83.1403 Occurrence Handle1:CAS:528:DyaK1MXlt1yitrc%3D
D. Sprinzak et al. (2002) Phys. Rev. Lett. 88 176805 Occurrence Handle10.1103/PhysRevLett.88.176805 Occurrence Handle1:STN:280:DC%2BD383msFymsg%3D%3D Occurrence Handle12005776
S.M. Maurer et al: Phys. Rev. Lett. 83, 1403 (1999) D. Sprinzak et al: Phys. Rev. Lett. 88, 176805 (2002) C. Fühner et al: Phys. Rev. 66, 161305(R) (2002)
C.W.J. Beenakker (1990) Phys. Rev. Lett. 64 216 Occurrence Handle10.1103/PhysRevLett.64.216 Occurrence Handle10041679
A.M. Chang (1990) Solid State Commun. 74 871 Occurrence Handle10.1016/0038-1098(90)90447-J
C.W.J. Beenakker: Phys. Rev. Lett. 64, 216 (1990) A.M. Chang: Solid State Commun. 74, 871 (1990) D.B. Chklovskii, B.I. Shklovskii, L.I. Glazman: Phys. Rev. 46, 4026 (1992)
P.L. McEuen et al. (1992) Phys. Rev. 45 11419 Occurrence Handle10.1103/PhysRevB.45.11419
P.L. McEuen et al: Phys. Rev. 45, 11419 (1992) A.K. Evans, L.I. Glazman, B.I. Shklovskii: Phys. Rev. 48, 11120 (1993)
V.J. Goldman, B. Su: Science 267, 1010 (1995)
M. Kataoka et al. (1999) Phys. Rev. Lett. 83 160 Occurrence Handle10.1103/PhysRevLett.83.160 Occurrence Handle1:CAS:528:DyaK1MXktlagu7g%3D
M. Kataoka et al: Phys. Rev. Lett. 83, 160 (1999) M. Kataoka et al: Phys. Rev. Lett. 89, 226803 (2002)
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Pustilnik, M., Glazman, L. Low-Temperature Conduction of a Quantum Dot. In: Dieter Heiss, W. (eds) Quantum Dots: a Doorway to Nanoscale Physics. Lecture Notes in Physics, vol 667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11358817_3
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