Quanto-Relativistic Background of Strong Electron-Electron Interactions in Quantum Dots under magnetic field

At a finite temperature, electron-electron interactions andenergy eigenvalues were studied using in the field ofsymplectic geometry and the relativistic radialSchrödinger equation with the expanded exponentialthermal potential (parabolic potential) representing thestrong electron-electron interaction. Electron-electroninteractions can strongly affect the effective mass, massspectrum, and functionality of multi-electron quantumdots. A quanto-relativistic interaction's behavior andeffects with temperature dependence in the magnetic fieldare shown to have a unique feature in semiconductorquantum dots. These results have important implicationsfor lighting, quantum dot enhancement film, rationaldesign, edge optic, new materials, spin electronics colorfilter, on-chip, visible and IR/NIR image sensor,photovoltaic, and fabrication of quantum dot qubits withpredictable properties.

Keywords:

Energy Eigenvalues , Gaussian Asymptomatic , Relativistic Effective Mass , Schrödinger Equation