Abstract
A self-organized quantum dot acts as a potential well and can confine electrons and holes. Depending on the conditions in the surroundings of the QD, the number of charges occupying the QD can change over time The theory of carrier emission and capture is analogous to that of deep traps in semiconductors [1, 2]. Past experiments investigating the carrier dynamics of QDs have shown that the theory derived for deep traps is also valid for QDs [3–6]. The following chapter will derive the theory of carrier dynamics and the underlying emission and capture processes in QDs.
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Notes
- 1.
The solution of the rate equation is derived for electrons. It is completely analogous for hole capture and emission.
- 2.
\(N_C = 2\left( \frac{2 \pi m_n^{*} k T}{h^2}\right) ^{3/2}\).
References
M. Lannoo, J. Bourgoin, Point Defects in Semiconductors I—Theoretical Aspects, volume 22 of Springer Series in Solid-State Sciences (Springer, Berlin, 1981)
P. Blood, J.W. Orton, The Electrical Characterization of Semiconductors: Majority Carriers and Electron States (Academic Press, London, 1992)
C. Kapteyn, Carrier Emission and Electronic Properties of Self-Organized Semiconductor Quantum Dots, Mensch & Buch Verlag, Berlin (Technische Universität Berlin, Dissertation, 2001)
M. Geller, C. Kapteyn, L. Müller-Kirsch, R. Heitz, D. Bimberg, 450 meV hole localization energy in GaSb/GaAs quantum dots. Appl. Phys. Lett. 82(16), 2706–2708 (2003)
M. Geller, Investigation of Carrier Dynamics in Self-Organized Quantum Dots for Memory Devices (Technische Universität Berlin, Dissertation, 2007)
A. Marent, Entwicklung einer neuartigen Quantenpunkt-Speicherzelle (Technische Universität Berlin, Dissertation, 2010)
T. Müller, F.F. Schrey, G. Strasser, K. Unterrainer, Ultrafast intraband spectroscopy of electron capture and relaxation in InAs/GaAs quantum dots. Appl. Phys. Lett. 83(17), 3572–3574 (2003)
M. Geller, A. Marent, E. Stock, D. Bimberg, V.I. Zubkov, I.S. Shulgunova, A.V. Solomonov, Hole capture into self-organized InGaAs quantum dots. Appl. Phys. Lett. 89(23), 232105 (2006)
U. Bockelmann, G. Bastard, Phonon scattering and energy relaxation in two-, one-, and zero-dimensional electron gases. Phys. Rev. B 42, 8947 (1990)
R. Ferreira, G. Bastard, Phonon-assisted capture and intradot Auger relaxation in quantum dots. Appl. Phys. Lett. 74(19), 2818 (1999)
J. Bourgoin, M. Lannoo, Point Defects in Semiconductors II— Experimental Aspects, volume 35 of Springer Series in Solid-State Sciences (Springer, Berlin, 1983)
S.M. Sze, K.K. Ng, Physics of Semiconductor Devices, 3rd edn. (Wiley, NewYork, 2006)
D.V. Lang, C.H. Henry, Nonradiative recombination at deep levels in GaAs and GaP by lattice-relaxation multiphonon emission. Phys. Rev. B 35(22), 1525–1528 (1975)
J. Frenkel, On pre-breakdown phenomena in insulators and electronic semi-conductors. Phys. Rev. 54, 647 (1938)
G. Vincent, A. Chantre, D. Bois, Electric field effect on the thermal emission of traps in semiconductor junctions. J. Appl. Phys. 50(8), 5484 (1979)
J.H. Davies, The Physics of Low-Dimensional Semiconductors. (Cambridge University Press, Cambridge, 1998)
W. Nolting, Grundkurs Theoretische Physik—Band 5/2: Quantenmechanik (Springer, Berlin, 2004)
P.W. Fry, J.J. Finley, L.R. Wilson, A. Lemaitre, D.J. Mowbray, M.S. Skolnick, Electric-field-dependent carrier capture and escape in self-assembled InAs/GaAs quantum dots. Appl. Phys. Lett. 77(26), 4344 (2000)
J. Gelze, Ladungsträgerdynamik in Quantenpunkt-basierten Speicherbausteinen (Diplomarbeit, TU-Berlin, 2009)
T. Nowozin, A. Marent, M. Geller, D. Bimberg, N. Akçay, N. Öncan, Temperature and electric field dependence of the carrier emission processes in a quantum dot-based memory structure. Appl. Phys. Lett. 94, 042108 (2009)
A. Marent, M. Geller, A. Schliwa, D. Feise, K. Pötschke, D. Bimberg, N. Akçay, N. Öncan, 10[sup 6] years extrapolated hole storage time in GaSb/AlAs quantum dots. Appl. Phys. Lett. 91(24), 242109 (2007)
W. Nolting, Grundkurs Theoretische Physik—Band 7: Viel-Teilchen-Theorie (Springer, Berlin, 2009)
R.J. Warburton, B.T. Miller, C.S. Dürr, C. Bödefeld, K. Karrai, J.P. Kotthaus, G. Medeiros-Ribeiro, P.M. Petroff, S. Huant, Coulomb interactions in small charge-tunable quantum dots: A simple model. Phys. Rev. B 58(24), 16221–16231 (1998)
A. Schliwa, M. Winkelnkemper, D. Bimberg, Few-particle energies versus geometry and composition of In\(_x\)Ga\(_{1-x}\)As/GaAs self-organized quantum dots. Phys. Rev. B 79, 075443 (2009)
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Nowozin, T. (2014). Charge Carriers in Quantum Dots. In: Self-Organized Quantum Dots for Memories. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01970-3_3
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