Hidden symmetries of two-electron quantum dots in a magnetic field
arXiv:cond-mat/0211631 · doi:10.1103/PhysRevB.67.041305
Abstract
Using a classical and quantum mechanical analysis, we show that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest themselves as near-degeneracies in the quantum spectrum at specific values of the magnetic field and are robust at any strength of the electron-electron interaction.
arXiv comment6 pages, 3 figures in a gif format
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Cited by in corpus (16)
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- Multi-center MICZ-Kepler system, supersymmetry and integrability
- Symmetry breaking and the random-phase approximation in small quantum dots
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- Probing the Shape of Quantum Dots with Magnetic Fields
- Conformal Killing Tensors and covariant Hamiltonian Dynamics
- Magnetic alteration of entanglement in two-electron quantum dots
- Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
- Separability and Dynamical Symmetry of Quantum Dots
- Three strongly correlated charged bosons in a one-dimensional harmonic trap: natural orbital occupancies
- Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
- Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field
- A geometrical crossover in excited states of two-electron quantum dots in a magnetic field
- On the symmetry of the electronic density in the three-electron parabolic quantum dot
- Signatures of broken symmetries in the excitations of a periodic 2DEG coupled to a cylindrical photon cavity