Few-electron semiconductor quantum dots with Gaussian confinement
Tóm tắt
We have performed Hartree-Fock calculations of the electronic structure of N ≤ 10 electrons in a quantum dot modeled with a confining Gaussian potential well. We discuss the conditions for the stability of N bound electrons in the system. We show that the most relevant parameter determining the number of bound electrons is V
0
R
2. Such a feature arises from widely valid scaling properties of the confining potential. Gaussian Quantum dots having N = 2, 5, and 8 electrons are particularly stable in agreement with the Hund rule. The shell structure becomes less and less noticeable as the well radius increases.
Tài liệu tham khảo
P. Harrison, Quantum wells, wires and dots (Wiley, UK, 2005)
P. Michler, Single Quantum Dots, Fundamentals, Applications, and New Concepts (Springer-Verlag, Berlin-Heidelberg, 2003)
R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, L. M. K. Vandersypen, Rev. Mod. Phys. 79, 001217 (2007)
D. D. Awschalom, M. Flatte, Nat. Phys. 3, 153 (2007)
M. Atatüre et al., Science 312, 551 (2006)
M. Bayer et al., Science 291, 451 (2001)
S. M. Reimann, M. Manninen, Rev. Mod. Phys. 74, 1283 (2002)
A. P. Alivisatos, J. Phys. Chem. 100, 13226 (1996)
W. Kohn, Phys. Rev. 123, 1242 (1961)
B. Szafran, J. Adamowski, S. Bednarek, Phys. E 4, 1 (1999)
S. Bednarek, B. Szafran, J. Adamowski, Phys. Rev. B 59, 13036 (1999)
C. F. Destefani, J. D. M. Vianna, G. E. Marques, Semicond. Sci. Technol. 19, L90 (2004)
V. Ranjan, R. K. Pandey, M. K. Harbola, V. A. Singh, Phys. Rev. 65, 045311 (2002)
S. De Filippo, M. Salerno, Phys. Rev. B 62, 4230 (2000)
J. Adamowski, M. Sobkowicz, B. Szafran, S. Bednarek, Phys. Rev. B 62, 4234 (2000), Erratum: Phys. Rev. B 62, 13233 (2000)
W. Xie, Solid State Comm. 127, 401 (2003)
B. Boyacioglu, M. Saglam, A. Chatterjee, J. Phys.: Condens. Matter 19, 456217 (2007)
O. Ciftja, J. Computer-Aided Mater. Des. 14, 37 (2007)
N. Bessis, G. Bessis, B. Joulakian, J. Phys. A: Math. Gen. 15, 3679 (1982)
C. S. Lai, J. Phys. A: Math. Gen. 16, L181 (1983)
M. Cohen, J. Phys. A: Math. Gen. 17, L101 (1984)
A. Chatterjee, J. Phys. A: Math. Gen. 18, 2403 (1985)
O. Gunawan, H. S. Djie, B. S. Ooi, Phys. Rev. B 71, 205319 (2005)
P. Fulde, Electron Correlations in Molecules and solids (Springer-Verlag Berlin, 1995)
A. Szabo, Ostlund, Modern Quantum Chemistry (Macmillan Publishing, New York, 1982)
M. Tadic, F. M. Peeters, K. L. Janssens, Phys. Rev. B 65, 165333 (2002)
E. R. Davidson, D. Feller, Chem. Rev. 86 681, (1986)
J. M. Thijssen, Computational Physics (Cambridge University Press, Cambridge, 1999)