Two-Electron Quantum Dot in Magnetic Field: Analytical Results
M. Dineykhan, R. G. Nazmitdinov
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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