Abstract
Coulomb interaction between electrons substantially influences the properties of quantum dots. Its effect on the ground state energy becomes most obvious in the Coulomb blockade of transport and single electron tunneling. More subtly, the Coulomb interaction affects the few-particle wave functions by introducing strong correlations between the electrons. These correlations in turn give rise to selection rules for transport spectroscopy in quantum dots. These rules favor collective modes for observation in non-linear conductance experiments, and therefore their excitations dominate tunneling spectra.
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References
R. C. Ashoori et al., Phys. Rev. Lett. 68, 3088 (1992).
P. L. McEuen et al., Phys. Rev. Lett. 66, 1926 (1991).
A. T. Johnson et al., Phys. Rev. Lett. 69, 1592 (1992).
A. Kumar, S. E. Laux, and F. Stern, Phys. Rev. B 42, 5166 (1990).
U. Merkt, Physica B 189, 165 (1993).
M. Taut, Phys. Rev. A 48, 3561 (1993).
C. Sikorski and U. Merkt, Phys. Rev. Lett. 62, 2164 (1989).
T. Demel, D. Heitmann, P. Grambow, and K. Ploog, Phys. Rev. Lett. 64, 788 (1990).
B. Meurer, D. Heitmann, and K. Ploog, Phys. Rev. Lett. 68, 1371 (1992).
D. Heitmann and J. Kotthaus, Physics Today 56 (1993).
P. Bakshi, D. A. Broido, and K. Kempa, Phys. Rev. B 42, 7416 (1990).
U. Merkt, J. Huser, and M. Wagner, Phys. Rev. B 43, 7320 (1991).
Q. P. Li et al., Phys. Rev. B 43, 5151 (1991).
T. Darnhofer and U. Rössler, Phys. Rev. B 47, 16020(RC) (1993).
P. Junker et al., Phys. Rev. B 49, 4794 (1994).
J. Alsmeier, E. Batke, and J. P. Kotthaus, Phys. Rev. B 41, 1699 (1990).
A. Lorke, J. P. Kotthaus, and K. Ploog, Phys. Rev. Lett. 64, 2559 (1990).
D. Pfannkuche, V. Gudmundsson, P. Hawrylak, and R. R. Gerhardts, Solid State Electronics 37, 1221 (1994).
Z. Ye and E. Zaremba, Phys. Rev. B 50, 17217 (1994).
P. A. Maksym and T. Chakraborty, Phys. Rev. Lett. 65, 108 (1990).
W. Häusler and B. Kramer, Phys. Rev. B 47, 2244 (1993).
R. C. Ashoori et al., Phys. Rev. Lett. 71, 613 (1993).
J. Palacios, L. Martín-Moreno, J. Oaknin, and C. Tejedor, Superlattices and Microstructures 15, 91 (1994).
J. M. Kinaret et al., Phys. Rev. B 46, 4681 (1992).
Single Charge Tunneling, Vol. 294 of NATO ASI, edited by H. Grabert and M. Devoret (Plenum, New York, 1992).
E. B. Foxman et al., Phys. Rev. B 47, 10020 (1993).
J. Weis, R. J. Haug, K. v. Klitzing, and K. Ploog, Phys. Rev. B 46, 12837 (1992).
J. Weis, R. J. Huag, K. v. Klitzing, and K. Ploog, Phys. Rev. Lett. 71, 4019 (1993).
D. Pfannkuche and S. E. Ulloa, Phys. Rev. Lett. 74, 1194 (1995).
J. J. Palacios, L. Martín-Moreno, and C. Tejedor, Europhys. Lett. 23, 495 (1993).
D. Weinmann et al., Europhys. Lett. 26, 467 (1994).
D. Weinmann, W. Häusler, and B. Kramer, Phys. Rev. Lett. 74, 984 (1995).
D. Pfannkuche and R. R. Gerhardts, Physica B 189, 6 (1993).
C. W. J. Beenakker, Phys. Rev. B 44, 1646 (1991).
Channel through excited states in resonance with left reservoir requires: E(N,α)−E(N−1,α′)=μL and E(N,0)−E(N−1,0)>-μR; Channel through excited states in resonance with right reservoir requires: E(N,α)−E(N−1,α′)=μR and E(N,0)−E(N−1,0)<-μL.
Due to the non-linear transport properties the probabilities and the current, eq. (3.3), have to be calculated for two close values of the bias voltage V DS±δV (δV=0.5×10−3 meV) to obtain the differential conductance, G=e(I(V DS+δV)−I(VDS−δV))/(2δV).
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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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Pfannkuche, D., Ulloa, S.E. (1996). Selection rules for spectroscopy of 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/BFb0107540
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DOI: https://doi.org/10.1007/BFb0107540
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