Two-Electron Quantum Dot in Magnetic Field: Analytical Results
M. Dineykhan, R.G. Nazmitdinov (JINR, Dubna)
TL;DR
This paper derives analytical expressions for the energy spectrum of two interacting electrons in a quantum dot under a magnetic field, revealing conditions for phase transitions influenced by dot size and magnetic field strength.
Contribution
It provides exact analytical solutions for the energy spectrum and phase transition conditions in a two-electron quantum dot system under magnetic fields.
Findings
Analytical energy spectra for 2D and 3D quantum dots.
Exact phase transition conditions related to dot size and magnetic field.
Insights into electron-electron interactions in confined systems.
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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