Eccentricity-Engineered Magneto-Exciton Dynamics in Anisotropic Quantum Dots under Screened Coulomb Interactions

We present a comprehensive theoretical framework for modeling eccentricity-engineered exciton dynamics in anisotropic quantum dots (QDs) subjected to screened Coulomb interactions and external magnetic fields. Our approach solves the 3D Schrödinger equation for ellipsoidal confinement with screened Coulomb interactions and magnetic perturbations in the symmetric gauge. Our model results reveal that eccentricity induces starkly different behaviors in anisotropic QDs. Prolate geometries (e < 1) reduce exciton energies by up to 25% through weakened axial confinement, while oblate structures (e > 0) enhance energies by 40% via stronger in-plane confinement. These geometric effects directly govern optical properties like oscillator strengths that decrease by 60% in prolate QDs but increase by 40% in oblate QDs, with corresponding red shifts and broadening in absorption spectra. Magnetic field responses show characteristic diamagnetic shifts and spin-dependent Zeeman splitting (±0.5 meV at 1T) that correlate with QD morphology. Comparison with experimental data for CdSe and InGaAs QDs confirms our predictions of e-dependent trends. The work establishes a unified approach to engineer exciton properties through geometric design, with implications for developing optimized QD systems in quantum photonics and spin-based technologies.