Energy-Level Structure of a Confined Electron-Positron Pair in Nanostructure
The energy-level structure of a pair of electron and positron confined in a quasi-one-dimensional nano-scale potential well has been investigated focusing on its trend in the small limit of confinement strength ω, namely, the Wigner molecular regime. An anisotropic Gaussian-type basis functions supplemented by high angular momentum functions as large as l = 19 has been used to obtain reliable full configuration interaction (FCI) wave functions. The resultant energy spectrum shows a band structure characterized by ω for the large ω regime whereas for the small ω regime it shows an energy-level pattern dominated by excitation into the in-phase motion of the two particles. The observed trend has been rationalized on the basis of the nodal patterns of the FCI wave functions.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1090787Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1417
 R. C. Ashoori, "Electrons in artificial atoms,” Nature, vol. 379, pp. 413–419, 1996.
 S. Tarucha, D. G. Austing, T. Honda, R. T. van der Hage and L. P. Kouwenhoven, "Shell Filling and Spin Effects in a Few Electron Quantum Dot,” Phys.Rev. Lett., vol. 77, pp. 3613–3616, 1996.
 C. Yannouleas and U. Landman, "Symmetry breaking and quantum correlations in finite systems: studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods,” Rep. Prog. Phys., vol. 70, pp. 2067–2148, 2007.
 N. F. Johnson, "Quantum dots: few-body, low-dimensional systems,” J. Phys.: Condens. Matt., vol. 7, pp. 965–989, 1995.
 T. Sako and G. H. F. Diercksen, "Confined quantum systems: spectra of weakly bound electrons in a strongly anisotropic oblate harmonic oscillator potential,” J. Phys.: Condens. Matt., vol. 17, pp. 5159–5178, 2005.
 T. Sako, P. A. Hervieux, and G. H. F. Diercksen, "Distribution of oscillator strength in Gaussian quantum dots: An energy flow from center-of-mass mode to internal modes,” Phys. Rev. B, vol. 74, article no.045329, 2006.
 T. Sako and G. H. F. Diercksen, "Spectra and correlated wave functions of two electrons confined in a quasi-one-dimensional nanostructure,” Phys. Rev. B, vol. 75, article no. 115413, 2007.
 T. Sakoand G. H. F. Diercksen, "Understanding the spectra of a few electrons confined in a quasi-one-dimensional nanostructure,” J. Phys.: Condens. Matt., vol. 20, article no. 155202, 2008.
 T. Sako, J. Paldus, and G. H. F. Diercksen, "The Energy Level Structure of Low-dimensional Multi-electron Quantum Dots,” Adv. Quantum Chem., vol. 58, pp. 177–201, 2009.
 G. W. Bryant, "Electronic Structure of Ultrasmall Quantum-Well Boxes,” Phys. Rev. Lett., vol. 59, pp. 1140–1143, 1987.
 M. Wagner, U. Merkt and A. V. Chaplik, "Spin-singlet–spin-triplet oscillations in quantum dots,” Rev. Rev. B, vol. 45, pp. 1951–1954, 1992.
 J. T. Lin and T. F. Jiang, "Two interacting electrons in a vertical quantum dot with magnetic fields,” Rev. Rev. B, vol. 64, article no. 195323, 2001.
 T. Sako and G. H. F. Diercksen, "Confined quantum systems: spectral properties of the atoms helium and lithium in a power series potential,” J. Phys. B, vol. 36 pp. 1433–1457, 2003.
 T. Sako and G. H. F. Diercksen, "Confined quantum systems: a comparison of the spectral properties of the two-electron quantum dot, the negative hydrogen ion and the helium atom,” J. Phys. B, vol. 36 pp. 1681–1702, 2003.
 T. Sako and G. H. F. Diercksen, "Confined quantum systems: spectral properties of two-electron quantum dots,” J. Phys.: Condens. Matt., vol. 15pp.5487–5509, 2003.
 W. Kohn, "Cyclotron Resonance and de Haas-van Alphen Oscillations of an Interacting Electron Gas,” Phys. Rev., vol. 123pp.1242–1244, 1961.