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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 21, 2009

A quasiclassical approach to strongly correlated quantum dots

Algirdas Matulis, Denis Jarema and Egidijus Anisimovas
From the journal Open Physics


The adiabatic approximation and reaction-coordinate method is applied to the quasiclassical description of nanostructures. In a two-electron model quantum dot, the Schrödinger equation is solved in the vicinity of the transition path connecting two equivalent potential-energy minima. The obtained results demonstrate the formation of a Wigner crystallite.

[1] P. A. Maksym, H. Imamura, G. P. Mallon, H. Aoki, J. Phys.-Condens. Mat. 12, R299 (2000) in Google Scholar

[2] L. P. Kouwenhoven, D. G. Austing, S. Tarucha, Rep. Prog. Phys. 64, 701 (2001) in Google Scholar

[3] S. M. Reimann, Rev. Mod. Phys. 74, 1283 (2002) in Google Scholar

[4] A. Matulis, F. M. Peeters, Solid State Commun. 117, 655 (2001) in Google Scholar

[5] E. Wigner, Phys. Rev. 46, 1002 (1934) in Google Scholar

[6] M. Saint Jean, C. Even, C. Guthman, Europhys. Lett. 55, 45 (2001) in Google Scholar

[7] V. M. Bedanov, F. M. Peeters, Phys. Rev. B 49, 2667 (1994) in Google Scholar

[8] E. Anisimovas, A. Matulis, M. B. Tavernier, F. M. Peeters, Phys. Rev. B 69, 075305 (2004) in Google Scholar

[9] E. Anisimovas, A. Matulis, F. M. Peeters, Phys. Rev. B 70, 195334 (2004) in Google Scholar

[10] A. Matulis, E. Anisimovas, J. Phys.-Condens. Mat. 17, 3851 (2005) in Google Scholar

[11] R. A. Olsen, G. J. Kroes, G. Henkelman, A. Arnaldsson, H. Jónsson, J. Chem. Phys. 121, 9776 (2004) in Google Scholar

[12] J. Nichols, H. Taylor, P. Schmidt, J. Simons, J. Chem. Phys. 92, 340 (1990) in Google Scholar

[13] Z. L. Ye, E. Zaremba, Phys. Rev. B 50, 17217 (1994) in Google Scholar

[14] O. Millo, D. Katz, Y. Cao, U. Banin, Phys. Rev. Lett. 86, 5751 (2001) in Google Scholar

[15] G. Bester et al., Phys. Rev. B 76, 075338 (2007) in Google Scholar

Published Online: 2009-7-21
Published in Print: 2009-12-1

© 2009 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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