Two-Electron Quantum Dot in Magnetic Field: Analytical Results

Details Two-Electron Quantum Dot in Magnetic Field: Analytical Results Two-Electron Quantum Dot in Magnetic Field: Analytical Results

1997-04-24

arxiv.org/abs/cond-mat/9704202v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.55.13707

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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