Abstract
This paper presents a detailed calculation of the electronic structure of quantum dots with various geometries. In particular, non-circular quantum dots are examined and their characteristic properties analysed. A general matrix method was developed that allows us to treat a wide range of quantum dots with arbitrarily complex confinement potentials. The Hartree-Fock self-consistent method is applied to study quantum dots with many-electrons.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ashoori R.C. 1996. Nature 379: 413–419.
Burkard G. and Loss D. 1999. Phys. Rev. B 59: 2070–2078.
DiVincenzo D.P., Bacon D., Kempe J., Burkard G., and Whaley K.B. 2000. Nature 408: 339–342.
Engel H.A., Recher P., and Loss D. 2001. Solid state communication 119: 229–236.
Ezaki T., Mori N., and Hamaguchi C. 1997. Phys. Rev. B 56: 6428–6431.
Ezaki T., Sugimoto Y., Mori N., and Hamaguchi C. 1998. Semicond. Sci. Technol. 13: A1–A3.
Gammon D. 2000. Nature 405: 899–900.
Kouwenhoven L.P., Austing D.G., and Tarucha S. 2001. Rep. Prog. Phys. 64: 701–736.
Lee I.H., Rao V., Martin R.M., and Leburton J.P. 1998. Phys. Rev. B 57: 9035–9042.
Lehoucq R.B. and Sorensen D.C. 1996. SIAM J. Matrix Analysis and Applications17: 789–821.
Macucci M., Hess K., and Iafrate G.J. 1993. Phys. Rev. B 48: 17354–17363.
Macucci M., Hess K., and Iafrate G.J. 1995. J. Appl. Phys. 77: 3267–3276.
Macucci M., Hess K., and Iafrate G.J. 1997. Phys. Rev. B 55: R4879–R4882.
McCarthy S.A., Wang J., and Abbott P.C. 2001. Comput. Phys. Commun. 141: 175–204.
Pfannkuche D., Gudmundsson V., and Maksym P. 1993. Phys. Rev. B 47: 2244–2250.
Reed M.A. 1993. Scientific American 98–102.
Saad Y. 1992. Numerical Methods for Large Eigenvalue Problems. Halsted Press.
Tanner B.K. 1995. Introduction to the Physics of Electrons in Solids. Cambridge University Press.
Tarucha S. et al. 1996. Phys. Rev. Lett. 77: 3613–3616.
Vdovin E.E., Levin A., Patanè A., Eaves L., Main P.C., Khanin Y.N., Dubrovskii Y.V., Henini M., and Hill G. 2000. Science 290: 122– 124.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wang, J., Hines, C. Anisotropic Quantum Dots. Journal of Computational Electronics 1, 491–501 (2002). https://doi.org/10.1023/A:1022901407124
Issue Date:
DOI: https://doi.org/10.1023/A:1022901407124