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Zero-bias anomalies and boson-assisted transport through small quantum dots

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Advances in Solid State Physics 35

Part of the book series: Advances in Solid State Physics ((ASSP,volume 35))

Abstract

We study resonant tunneling through a quantum dot with one degenerate state in the presence of a strong Coulomb repulsion and a bosonic environment. Using a real-time approach we calculate the spectral density and the nonlinear current within a conserving approximation. The spectral density shows a multiplet of Kondo peaks if the temperature and boson frequency are smaller than the intrinsic broadening of the dot state. As a consequence we find a zero-bias anomaly in the differential conductance which can show local maxima or minima dependent on the value of the gate voltage. The results are compared with recent experiments.

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References

  1. B. Su, V.J. Goldman and J.E. Cunningham, Science 255, 313 (1992).

    Article  ADS  Google Scholar 

  2. P. Gueret, N. Blank, R. Germann, and H. Rothuizen, Phys. Rev. Lett. 68, 1896 (1992).

    Article  ADS  Google Scholar 

  3. A.T. Johnson, L.P. Kouwenhoven, W. de Jong, N.C. van der Vaart, C.J.P.M. Harmans, and C.T. Foxon, Phys. Rev. Lett. 69, 1592 (1992).

    Article  ADS  Google Scholar 

  4. E.B. Foxman, P.L. McEuen, U. Meirav, N.S. Wingreen, Y. Meir, P.A. Belk, N.R. Belk, M.A. Kastner, and S.J. Wind, Phys. Rev.. B47, 10020 (1993).

    Article  ADS  Google Scholar 

  5. J. Weis, R.J. Haug, K. v. Klitzing, and K. Ploog, Phys. Rev.. B46, 12837 (1992).

    Article  ADS  Google Scholar 

  6. D.C. Ralph, C.T. Black and M. Tinkham, Phys. Rev. Lett. 74, 3241 (1995).

    Article  ADS  Google Scholar 

  7. D.V. Averin, A.N. Korotkov, and K.K. Likharev, Phys. Rev.. B44, 6199 (1991).

    Article  ADS  Google Scholar 

  8. C.W.J. Beenakker, Phys. Rev.. B44, 1646 (1991).

    Article  ADS  Google Scholar 

  9. D. Weinmann, W. Häusler, W. Pfaff, B. Kramer, and U. Weiss, Europhys. Lett. 26, 467 (1994).

    Article  ADS  Google Scholar 

  10. C. Bruder and H. Schoeller, Phys. Rev. Lett. 72, 1076 (1994).

    Article  ADS  Google Scholar 

  11. L.I. Glazman and K.A. Matveev, Pis'ma Zh. Eksp. Teor. Fiz. 48, 403 (1988), [JETP Lett 48, 445 (1988)].

    ADS  Google Scholar 

  12. A. Groshev, T. Ivanov, and V. Valtchinov Phys. Rev. Lett. 66, 1082 (1991).

    Article  ADS  Google Scholar 

  13. T.K. Ng and P.A. Lee, Phys. Rev. Lett. 61, 1768 (1988).

    Article  ADS  Google Scholar 

  14. L.I. Glazman and M.E. Raikh, Pis'ma Zh. Eksp. Teor. Fiz. 47, 378 (1988) [JETP Lett. 47, 452 (1988)].

    ADS  Google Scholar 

  15. A. Kawabata, J. Phys. Soc. Japan 60, 3222 (1991).

    Article  ADS  Google Scholar 

  16. S. Hershfield, J.H. Davies, and J.W. Wilkins, Phys. Rev. Lett. 67, 3720 (1991); Phys. Rev. B46, 7046, (1992).

    Article  ADS  Google Scholar 

  17. T.K. Ng, Phys. Rev. Lett. 70, 3635 (1993).

    Article  ADS  Google Scholar 

  18. A.L. Yeyati, A. Martin-Rodero, and F. Flores, Phys. Rev. Lett. 71, 2991 (1993).

    Article  ADS  Google Scholar 

  19. M.H. Hettler and H. Schoeller, Phys. Rev. Lett. 74, 4907 (1195).

    Article  Google Scholar 

  20. Y. Meir, N.S. Wingreen, and P.A. Lee, Phys. Rev. Lett. 70, 2601 (1993); N.S. Wingreen and Y. Meir, Phys. Rev. B49, 11040 (1994).

    Article  ADS  Google Scholar 

  21. C. Bruder, R. Fazio, and H. Schoeller, Phys. Rev. Lett. 76, 114 (1995).

    Article  ADS  Google Scholar 

  22. J. König, H. Schoeller, and G. Schön, to be published in Phys. Rev. Lett.

    Google Scholar 

  23. D.C. Ralph and R.A. Buhrman, Phys. Rev. Lett. 72, 3401 (1994).

    Article  ADS  Google Scholar 

  24. G. Ingold and Yu. V. Nazarov, in single Charge Tunneling, NATO ASI Series, Les Houches, edited by H. Grabert and M. Devoret (Plenum, New York, 1992).

    Google Scholar 

  25. A.A. Odintsov, G. Falci, and G. Schön, Phys. Rev. B44, 13089 (1991).

    Article  ADS  Google Scholar 

  26. K. Flensberg, S.M. Girvin, M. Jonson, D.R. Penn, and M.D. Stiles., Phys. Scripta T42, 189 (1992).

    Article  ADS  Google Scholar 

  27. G. Schön and A.D. Zaikin, Phys. Rep. 198, 237 (1990).

    Article  ADS  Google Scholar 

  28. D.V. Averin and K.K. Likharev, in Mesoscopic Phenomena in solids, edited by B. Altshuler, P.A. Lee, and R.A. Webb (North-Holland, Amsterdam, 1991).

    Google Scholar 

  29. A.A. Odintsov, V. Bubanja., and G. Schön, Phys. Rev. B46, 6875 (1992).

    Article  ADS  Google Scholar 

  30. L.P. Kouwenhoven, A.T. Johnson, N.C. van der Vaart, and C.J.P.M. Harmans, Phys. Rev. Lett. 67, 1626 (1991).

    Article  ADS  Google Scholar 

  31. L.P. Kouwenhoven S. Jauhar, K. McCormick, D. Dixon, P.L. McEuen, Yu. V. Nazarov, N.C. van der Vaart, and C.T. Foxon, Phys. Rev. B50, 2019 (1994).

    Article  ADS  Google Scholar 

  32. I.A. Devyatov and K.K. Likharev, Physica B194–196, 1341 (1994).

    Article  Google Scholar 

  33. A.A. Odintsov, Appl. Phys. Lett. 58, 2695 (1991).

    Article  ADS  Google Scholar 

  34. H. Pothier, P. Lafarge, P.F. Orfila, C. Urbina, D. Esteve, and M.H. Devoret, Physica B169, 573 (1991).

    Article  ADS  Google Scholar 

  35. Y. Nagamune, H. Sakaki, L.P. Kouwenhoven, L.C. Mur, C.J.P.M. Harmans, J. Motohisa, and H. Noge, Appl. Phys. Lett. 64, 2379 (1994).

    Article  ADS  Google Scholar 

  36. N.S. Wingreen, K.W. Jacobsen, and J.W. Wilkins, Phys. Rev. Lett. 61, 1396 (1988); Phys. Rev. B40, 11834 (1989).

    Article  ADS  Google Scholar 

  37. L.I. Glazman and R.I. Shekhter, Zh. Eksp. Teor. Fiz. 94, 292 (1988)[sov. Phys. JETP 67, 163 (1988)].

    Google Scholar 

  38. M. Jonson, Phys. Rev. B39, 5924 (1989).

    Article  ADS  Google Scholar 

  39. A. Groshev, Phys. Rev. B44, 11502 (1991).

    Article  ADS  Google Scholar 

  40. H.T. Imam, V.V. Ponomarenko, and D.V. Averin, Phys. Rev. B50, 18288 (1994).

    Article  ADS  Google Scholar 

  41. C. Zhang, M.L.F. Lerch, A.D. Martin, P.E. Simmonds, and L. Eaves, Phys. Rev. Lett. 72, 3397 (1994).

    Article  ADS  Google Scholar 

  42. J. Stampe, diploma thesis, Universität Karlsruhe 1995, unpublished.

    Google Scholar 

  43. H. Schoeller and G. Schön, Phys. Rev. B50, 18436 (1994); Physica B203, 423 (1994).

    Article  ADS  Google Scholar 

  44. J. König, H. Schoeller and G. Schön, Europhys. Lett. 31, 31 (1995); J. König, H. Schoeller, G. Schön and R. Fazio, in Quantum Dynamics of Submicron Structures, edited by H. A. Cerdeira, B. Kramer and G. Schön, NATO ASI Series E, Vol. 291 (Kluwer, Dodrecht, 1995), p. 221

    Article  ADS  Google Scholar 

  45. D.C. Ralph and R.A. Buhrman, Phys. Rev. Lett. 69, 2118 (1992); Phys. Rev. B51, 3554 (1995).

    Article  ADS  Google Scholar 

  46. D.C. Ralph, A.W.W. Ludwig, J. von Delft and R.A. Buhrman, Phys. Rev. Lett. 72, 1064 (1994).

    Article  ADS  Google Scholar 

  47. M.H. Hettler, J. Kroha, and S. Hershfield, Phys. Rev. Lett. 73, 1967 (1994).

    Article  ADS  Google Scholar 

  48. N.S. Wingreen, B.L. Altshuler, and Y. Meir, unpublished.

    Google Scholar 

  49. G.D. Mahan, Many-Particle Physics, 2nd ed. (Plenum Press, New York, 1990).

    Google Scholar 

  50. F.D.M. Haldane, Phys. Rev. 15, 281 (1977).

    Article  ADS  Google Scholar 

  51. H. Keiter and G. Morandi, Phys. Rep. 109, 227 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  52. There may be also a sign due to the order of the field operators of the dot. However, this is absent if we restrict ourselves to the states with N=0, 1.

    Google Scholar 

  53. H. Schoeller, unpublished; for the equilibrium case see also S.E. Barnes, J. Phys. F7, 2637 (1977).

    Article  Google Scholar 

  54. A.G.M. Jansen, A.P. van Gelder, P. Wyder, and S. Strassler, J. Phys. F11, L15 (1981). *** DIRECT SUPPORT *** A00AX035 00009

    Article  ADS  Google Scholar 

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Reinhard Helbig

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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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König, J., Schoeller, H., Schön, G. (1996). Zero-bias anomalies and boson-assisted transport through small quantum dots. In: Helbig, R. (eds) Advances in Solid State Physics 35. Advances in Solid State Physics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107547

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  • DOI: https://doi.org/10.1007/BFb0107547

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