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Low-Temperature Conduction of a Quantum Dot

  • M. Pustilnik
  • L.I. Glazman
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 667)

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.

Keywords

Gate Voltage Exchange Constant Level Spacing Coulomb Blockade Kondo Temperature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    Kouwenhoven, L.P.,  et al. 1997Sohn, L.L. eds. Mesoscopic Electron TransportKluwerDordrecht105214Google Scholar
  2. 1.
    Kastner, M.A. 1992Rev. Mod. Phys.64849CrossRefGoogle Scholar
  3. 1.
    Meirav, U., Foxman, E.B. 1996Semicond. Sci. Technol.11255CrossRefGoogle Scholar
  4. 1.
    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)Google Scholar
  5. 2.
    Joyez, P.,  et al. 1997Phys. Rev. Lett.791349CrossRefGoogle Scholar
  6. 2.
    P. Joyez et al: Phys. Rev. Lett. 79, 1349 (1997) M. Devoret, C. Glattli: Phys. World 11, 29 (1998)Google Scholar
  7. 3.
    Goldhaber-Gordon, D.,  et al. 1998Nature391156CrossRefGoogle Scholar
  8. 3.
    Cronenwett, S.M., Oosterkamp, T.H., Kouwenhoven, L.P. 1998Science281540CrossRefPubMedGoogle Scholar
  9. 3.
    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)Google Scholar
  10. 4.
    L. Kouwenhoven, L. Glazman: Physics World 14, 33 (2001)Google Scholar
  11. 5.
    J. Kondo: Prog. Theor. Phys. 32, 37 (1964)Google Scholar
  12. 6.
    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 1Google Scholar
  13. 7.
    Tarucha, S.,  et al. 2000Phys. Rev. Lett.842485Google Scholar
  14. 7.
    S. Tarucha et al: Phys. Rev. Lett. 84, 2485 (2000) L.P. Kouwenhoven, D.G. Austing, S. Tarucha: Rep. Prog. Phys. 64, 701 (2001)CrossRefGoogle Scholar
  15. 8.
    Sasaki, S.,  et al. 2000Nature405764CrossRefPubMedGoogle Scholar
  16. 8.
    S. Sasaki et al: Nature 405, 764 (2000) S. Sasaki et al: Phys. Rev. Lett. 93, 017205 (2004)CrossRefGoogle Scholar
  17. 9.
    M. Pustilnik et al: Lecture Notes in Physics 579, 3 (2001)Google Scholar
  18. 10.
    Nygård, J., Cobden, D.H., Lindelof, P.E. 2000Nature408342CrossRefPubMedGoogle Scholar
  19. 10.
    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/0407193CrossRefPubMedGoogle Scholar
  20. 11.
    Park, J.,  et al. 2002Nature417722CrossRefPubMedGoogle Scholar
  21. 11.
    Liang, W.,  et al. 2002Nature417725CrossRefPubMedGoogle Scholar
  22. 11.
    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)CrossRefGoogle Scholar
  23. 12.
    Li, L.T.,  et al. 1998Phys. Rev. Lett.802893CrossRefGoogle Scholar
  24. 12.
    Madhavan, V.,  et al. 1998Science280567CrossRefPubMedGoogle Scholar
  25. 12.
    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)CrossRefPubMedGoogle Scholar
  26. 13.
    Berry, M.V. 1985Proc. R. Soc. A400229Google Scholar
  27. 13.
    M.V. Berry: Proc. R. Soc. A 400, 229 (1985) B.L. Altshuler, B.I. Shklovskii: Sov. Phys.–JETP 64, 127 (1986)Google Scholar
  28. 14.
    C.W.J. Beenakker: Rev. Mod. Phys. 69, 731 (1997)CrossRefGoogle Scholar
  29. 15.
    Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000)CrossRefGoogle Scholar
  30. 16.
    F. Haake: Quantum Signatures of Chaos (Springer, New York 2001)Google Scholar
  31. 17.
    K. Efetov: Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge 1997)Google Scholar
  32. 18.
    Altshuler, B.L.,  et al. 1997Phys. Rev. Lett.782803CrossRefGoogle Scholar
  33. 18.
    Agam, O.,  et al. 1997Phys. Rev. Lett.781956CrossRefGoogle Scholar
  34. 18.
    Blanter, Ya.M. 1996Phys. Rev.5412807CrossRefGoogle Scholar
  35. 18.
    Blanter, Ya.M., Mirlin, A.D. 1998Phys. Rev.574566CrossRefGoogle Scholar
  36. 18.
    Blanter, Ya.M., Mirlin, A.D., Muzykantskii, B.A. 1997Phys. Rev. Lett.782449CrossRefGoogle Scholar
  37. 18.
    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)CrossRefGoogle Scholar
  38. 19.
    I.L. Kurland, I.L. Aleiner, B.L. Altshuler: Phys. Rev. 62, 14886 (2000)CrossRefGoogle Scholar
  39. 20.
    I.L. Aleiner, P.W. Brouwer, L.I. Glazman: Phys. Rep. 358, 309 (2002)CrossRefGoogle Scholar
  40. 21.
    Berry, M.V. 1977Journ. of Phys. A102083Google Scholar
  41. 21.
    M.V. Berry: Journ. of Phys. A 10, 2083 (1977) A.D. Mirlin: Phys. Rep. 326, 259 (2000)CrossRefGoogle Scholar
  42. 22.
    J.A. Folk et al: Phys. Rev. Lett. 76, 1699 (1996)CrossRefPubMedGoogle Scholar
  43. 23.
    J.M. Ziman: Principles of the Theory of Solids (Cambridge University Press, Cambridge 1972) p 339Google Scholar
  44. 24.
    J. von Delft, D.C. Ralph: Phys. Rep. 345, 61 (2001)CrossRefGoogle Scholar
  45. 25.
    K.A. Matveev, L.I. Glazman, R.I. Shekhter: Mod. Phys. Lett. B 8, 1007 (1994)CrossRefGoogle Scholar
  46. 26.
    Brouwer, P.W., Oreg, Y., Halperin, B.I. 1999Phys. Rev.60R13977CrossRefGoogle Scholar
  47. 26.
    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)CrossRefGoogle Scholar
  48. 27.
    Potok, R.M.,  et al. 2003Phys. Rev. Lett.91016802CrossRefPubMedGoogle Scholar
  49. 27.
    Folk, J.A.,  et al. 2001Phys. ScriptaT9026CrossRefGoogle Scholar
  50. 27.
    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)CrossRefGoogle Scholar
  51. 28.
    K.A. Matveev: Phys. Rev. 51, 1743 (1995)CrossRefGoogle Scholar
  52. 29.
    K. Flensberg: Phys. Rev. 48, 11156 (1993)CrossRefGoogle Scholar
  53. 30.
    M. Pustilnik, L.I. Glazman: Phys. Rev. Lett. 87, 216601 (2001)CrossRefPubMedGoogle Scholar
  54. 31.
    C.E. Porter, R.G. Thomas: Phys. Rev. 104, 483 (1956)CrossRefGoogle Scholar
  55. 32.
    Kulik, I.O., Shekhter, R.I. 1975Sov. Phys.–JETP41308Google Scholar
  56. 32.
    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)CrossRefGoogle Scholar
  57. 33.
    Glazman, L.I., Matveev, K.A. 1988JETP Lett.48445Google Scholar
  58. 33.
    Beenakker, C.W.J. 1991Phys. Rev.441646CrossRefGoogle Scholar
  59. 33.
    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)CrossRefGoogle Scholar
  60. 34.
    R.A. Jalabert, A.D. Stone, Y. Alhassid: Phys. Rev. Lett. 68, 3468 (1992)CrossRefPubMedGoogle Scholar
  61. 35.
    V.N. Prigodin, K.B. Efetov, S. Iida: Phys. Rev. Lett. 71, 1230 (1993)CrossRefPubMedGoogle Scholar
  62. 36.
    A.M. Chang et al: Phys. Rev. Lett. 76, 1695 (1996)CrossRefPubMedGoogle Scholar
  63. 37.
    Altshuler, B.L.,  et al. 1980Phys. Rev.225142CrossRefGoogle Scholar
  64. 37.
    B.L. Altshuler et al: Phys. Rev. 22, 5142 (1980) S. Hikami, A.I. Larkin, Y. Nagaoka: Progr. Theor. Phys. 63, 707 (1980)Google Scholar
  65. 38.
    Giaever, I., Zeller, H.R. 1968Phys. Rev. Lett.201504CrossRefGoogle Scholar
  66. 38.
    I. Giaever, H.R. Zeller: Phys. Rev. Lett. 20, 1504 (1968) H.R. Zeller, I. Giaever: Phys. Rev. 181, 789 (1969)CrossRefGoogle Scholar
  67. 39.
    D.V. Averin, Yu.V. Nazarov: Phys. Rev. Lett. 65, 2446 (1990)CrossRefPubMedGoogle Scholar
  68. 40.
    A.A. Abrikosov: Fundamentals of the Theory of Metals (North-Holland, Amsterdam 1988) p 620Google Scholar
  69. 41.
    I.L. Aleiner, L.I. Glazman: Phys. Rev. Lett. 77, 2057 (1996)CrossRefPubMedGoogle Scholar
  70. 42.
    Glazman, L.I., Raikh, M.E. 1988JETP Lett.47452Google Scholar
  71. 42.
    L.I. Glazman, M.E. Raikh: JETP Lett. 47, 452 (1988) T.K. Ng, P.A. Lee: Phys. Rev. Lett. 61, 1768 (1988)CrossRefPubMedGoogle Scholar
  72. 43.
    van der Wiel, W.G.,  et al. 2000Science2892105CrossRefPubMedGoogle Scholar
  73. 43.
    W.G. van der Wiel et al: Science 289, 2105 (2000) Y. Ji, M. Heiblum, H. Shtrikman: Phys. Rev. Lett. 88, 076601 (2002)CrossRefPubMedGoogle Scholar
  74. 44.
    L.I. Glazman, M. Pustilnik: In: New Directions in Mesoscopic Physics (Towards Nanoscience) ed by R. Fazio et al (Kluwer, Dordrecht 2003) p 93Google Scholar
  75. 45.
    Duke, C.B. 1969Tunneling in SolidsAcademic PressNew YorkGoogle Scholar
  76. 45.
    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 385Google Scholar
  77. 46.
    Wyatt, A.F.G. 1964Phys. Rev. Lett.13401CrossRefGoogle Scholar
  78. 46.
    A.F.G. Wyatt: Phys. Rev. Lett. 13, 401 (1964) R.A. Logan, J.M. Rowell: Phys. Rev. Lett. 13, 404 (1964)CrossRefGoogle Scholar
  79. 47.
    Appelbaum, J. 1966Phys. Rev. Lett.1791CrossRefGoogle Scholar
  80. 47.
    J. Appelbaum: Phys. Rev. Lett. 17, 91 (1966) J.A. Appelbaum: Phys. Rev. 154, 633 (1967)CrossRefGoogle Scholar
  81. 48.
    P.W. Anderson: Phys. Rev. Lett. 17, 95 (1966)CrossRefGoogle Scholar
  82. 49.
    G.A. Fiete et al: Phys. Rev. 66, 024431 (2002)CrossRefGoogle Scholar
  83. 50.
    M. Pustilnik, L.I. Glazman: Journ. of Physics: Condens. Matter 16, R513 (2004)CrossRefGoogle Scholar
  84. 51.
    J.R. Schrieffer, P.A. Wolff: Phys. Rev. 149, 491 (1966)CrossRefGoogle Scholar
  85. 52.
    P.G. Silvestrov, Y. Imry: Phys. Rev. Lett. 85, 2565 (2000)CrossRefPubMedGoogle Scholar
  86. 53.
    Y. Meir, N.S. Wingreen, P.A. Lee: Phys. Rev. Lett. 70, 2601 (1993)CrossRefPubMedGoogle Scholar
  87. 54.
    P. Nozières, A. Blandin: J. Physique 41, 193 (1980)Google Scholar
  88. 55.
    Coleman, P. 2002Mancini, F. eds. Lectures on the Physics of Highly Correlated Electron Systems VIAmerican Institute of PhysicsNew York79160(cond-mat/0206003)Google Scholar
  89. 55.
    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)Google Scholar
  90. 56.
    P.W. Anderson: Basic Notions of Condensed Matter Physics (Addison-Wesley, Reading 1997)Google Scholar
  91. 57.
    K.G. Wilson: Rev. Mod. Phys. 47, 773 (1975)CrossRefGoogle Scholar
  92. 58.
    L.I. Glazman, F.W.J. Hekking, A.I. Larkin: Phys. Rev. Lett. 83, 1830 (1999)CrossRefGoogle Scholar
  93. 59.
    Tsvelick, A.M., Wiegmann, P.B. 1983Adv. Phys.32453Google Scholar
  94. 59.
    A.M. Tsvelick, P.B. Wiegmann: Adv. Phys. 32, 453 (1983) N. Andrei, K. Furuya, J.H. Lowenstein: Rev. Mod. Phys. 55, 331 (1983)CrossRefGoogle Scholar
  95. 60.
    I. Affleck, A.W.W. Ludwig: Phys. Rev. 48, 7297 (1993)CrossRefGoogle Scholar
  96. 61.
    M. Pustilnik, L.I. Glazman: Phys. Rev. 64, 045328 (2001)CrossRefGoogle Scholar
  97. 62.
    Abrikosov, A.A. 1965Physics25Google Scholar
  98. 62.
    A.A. Abrikosov: Physics 2, 5 (1965) A.A. Abrikosov: Sov. Phys.–Uspekhi 12, 168 (1969)Google Scholar
  99. 63.
    R.G. Newton: Scattering Theory of Waves and Particles (Dover, Mineola 2002)Google Scholar
  100. 64.
    P.W. Anderson: Journ. of Physics C 3, 2436 (1970)Google Scholar
  101. 65.
    P.W. Anderson, G. Yuval, D.R. Hamann: Phys. Rev. 1, 4464 (1970)CrossRefGoogle Scholar
  102. 66.
    Nozières, P. 1974J. Low Temp. Phys.1731CrossRefGoogle Scholar
  103. 66.
    P. Nozières: J. Low Temp. Phys. 17, 31 (1974) P. Nozières: J. Physique 39, 1117 (1978)Google Scholar
  104. 67.
    T.A. Costi, A.C. Hewson, V. Zlatić: Journ. of Physics: Condens. Matter 6, 2519 (1994)CrossRefGoogle Scholar
  105. 68.
    J. Schmid et al: Phys. Rev. Lett. 84, 5824 (2000)CrossRefPubMedGoogle Scholar
  106. 69.
    W.G. van der Wiel et al: Phys. Rev. Lett. 88, 126803 (2002)CrossRefPubMedGoogle Scholar
  107. 70.
    A. Kogan et al: Phys. Rev. 67, 113309 (2003)CrossRefGoogle Scholar
  108. 71.
    M. Pustilnik, Y. Avishai, K. Kikoin: Phys. Rev. Lett. 84, 1756 (2000)CrossRefPubMedGoogle Scholar
  109. 72.
    Golovach, V.N., Loss, D. 2003Europhys. Lett.6283CrossRefGoogle Scholar
  110. 72.
    V.N. Golovach, D. Loss: Europhys. Lett. 62, 83 (2003) M. Pustilnik, L.I. Glazman, W. Hofstetter: Phys. Rev. 68, 161303(R) (2003)Google Scholar
  111. 73.
    W. Izumida, O. Sakai,Y. Shimizu: J. Phys. Soc. Jpn. 67, 2444 (1998)CrossRefGoogle Scholar
  112. 74.
    Eto, M., Nazarov, Yu.V. 2000Phys. Rev. Lett.851306CrossRefPubMedGoogle Scholar
  113. 74.
    M. Eto, Yu.V. Nazarov: Phys. Rev. Lett. 85, 1306 (2000) M. Pustilnik, L.I. Glazman: Phys. Rev. Lett. 85, 2993 (2000)CrossRefPubMedGoogle Scholar
  114. 75.
    D.L. Losee, E.L. Wolf: Phys. Rev. Lett. 23, 1457 (1969)CrossRefGoogle Scholar
  115. 76.
    A. Rosch et al: Phys. Rev. 68, 014430 (2003)CrossRefGoogle Scholar
  116. 77.
    J.M. Elzerman et al: J. Low Temp. Phys. 118, 375 (2000)CrossRefGoogle Scholar
  117. 78.
    P.K. Tien, J.P. Gordon: Phys. Rev. 129, 647 (1963)CrossRefGoogle Scholar
  118. 79.
    M.H. Hettler and H. Schoeller: Phys. Rev. Lett. 74, 4907 (1995)CrossRefPubMedGoogle Scholar
  119. 80.
    Kaminski, A., Nazarov, Yu.V., Glazman, L.I. 1999Phys. Rev. Lett.83384CrossRefGoogle Scholar
  120. 80.
    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)CrossRefGoogle Scholar
  121. 81.
    K.A. Matveev: Sov. Phys.–JETP 72, 892 (1991)Google Scholar
  122. 82.
    D.L. Cox, A. Zawadowski: Adv. Phys. 47, 599 (1998)CrossRefGoogle Scholar
  123. 83.
    Y. Oreg, D. Goldhaber-Gordon: Phys. Rev. Lett. 90, 136602 (2003)CrossRefPubMedGoogle Scholar
  124. 84.
    M. Pustilnik et al: Phys. Rev. 69, 115316 (2004)CrossRefGoogle Scholar
  125. 85.
    Keller, M.,  et al. 2001Phys. Rev.64033302CrossRefGoogle Scholar
  126. 85.
    M. Keller et al: Phys. Rev. 64, 033302 (2001) M. Stopa et al: Phys. Rev. Lett. 91, 046601 (2003)CrossRefPubMedGoogle Scholar
  127. 86.
    Maurer, S.M.,  et al. 1999Phys. Rev. Lett.831403CrossRefGoogle Scholar
  128. 86.
    Sprinzak, D.,  et al. 2002Phys. Rev. Lett.88176805CrossRefPubMedGoogle Scholar
  129. 86.
    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)Google Scholar
  130. 87.
    Beenakker, C.W.J. 1990Phys. Rev. Lett.64216CrossRefPubMedGoogle Scholar
  131. 87.
    Chang, A.M. 1990Solid State Commun.74871CrossRefGoogle Scholar
  132. 87.
    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)Google Scholar
  133. 88.
    McEuen, P.L.,  et al. 1992Phys. Rev.4511419CrossRefGoogle Scholar
  134. 88.
    P.L. McEuen et al: Phys. Rev. 45, 11419 (1992) A.K. Evans, L.I. Glazman, B.I. Shklovskii: Phys. Rev. 48, 11120 (1993)CrossRefGoogle Scholar
  135. 89.
    V.J. Goldman, B. Su: Science 267, 1010 (1995)Google Scholar
  136. 90.
    Kataoka, M.,  et al. 1999Phys. Rev. Lett.83160CrossRefGoogle Scholar
  137. 90.
    M. Kataoka et al: Phys. Rev. Lett. 83, 160 (1999) M. Kataoka et al: Phys. Rev. Lett. 89, 226803 (2002)CrossRefPubMedGoogle Scholar

Authors and Affiliations

  • M. Pustilnik
    • 1
  • L.I. Glazman
    • 2
  1. 1.School of Physics, Georgia Institute of TechnologyAtlantaUSA
  2. 2.William I. Fine Theoretical Physics InstituteUniversity of MinnesotaMinneapolisUSA

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