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Two-Electron Quantum Dot in Magnetic Field: Analytical Results

1997/04/24 by M. Dineykhan, R. G. Nazmitdinov · 1 citation
Physics and Astronomy · #Gyrotron and Vacuum Electronics Research #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.55.13707

22 pages (Latex file), 3 Postscript figures, to be published in Phys. Rev.B 55, N 20 (1997)

arxiv created 1997/04/24 · openalex publication_date 1997/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional cases. Exact conditions for phase transitions due to the electron-electron interaction in a quantum dot as a function of the dot size and magnetic field are calculated.

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