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

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This theoretical study models exciton dynamics in anisotropic quantum dots, revealing how eccentricity and magnetic fields tune exciton energies, optical properties, and absorption spectra, with findings validated by experimental data.

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The paper presents a theoretical framework to model how eccentricity-engineered anisotropic quantum dots affect magneto-exciton dynamics under screened Coulomb interactions and external magnetic fields. Using a 3D Schrödinger-equation solution for ellipsoidal confinement with magnetic perturbations in the symmetric gauge, the authors report that prolate geometries (e 0) raise exciton energies by about 40% with oscillator strengths increasing by 40%, producing corresponding red shifts and absorption broadening. They also find diamagnetic energy shifts and spin-dependent Zeeman splitting (±0.5 meV at 1T) that correlate with QD morphology, and they compare CdSe and InGaAs calculations with experimental data to support the e-dependent trends. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract 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 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.
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Eccentricity-Engineered Magneto-Exciton Dynamics in Anisotropic Quantum Dots under Screened Coulomb Interactions | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Eccentricity-Engineered Magneto-Exciton Dynamics in Anisotropic Quantum Dots under Screened Coulomb Interactions Moses Udoisoh, Adeoye Victor Babalola, Olayiwola Emmanuel Oladimeji, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7188477/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract 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 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. Quantum dots Exciton confinement Anisotropic potentials Screened Coulomb interactions Magneto-optics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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