Numerical proceeding to calculate impurity states in 2D semiconductor heterostructures

Numerical proceeding to calculate impurity states in 2D semiconductor heterostructures | 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 Article Numerical proceeding to calculate impurity states in 2D semiconductor heterostructures Volodymyr Akimov, Viktor Tulupenko, Roman Demediuk, Anton Tiutiunnyk, and 4 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4272167/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Dec, 2024 Read the published version in Scientific Reports → Version 1 posted 12 You are reading this latest preprint version Abstract The article provides and discusses details of numerical proceeding for the expansion method to calculate energy positions and wave functions of the localized and resonant electronic states emerging in quantum well-type semiconductor nanostructures because of perturbation of confined states by the Coulomb potential of the hydrogenic impurity center. Effective mass approximation is used. Several excited both resonant and non-resonant states are calculated and classified for the case of a simple rectangular GaAs/AlGaAs quantum well. Results are compared to the ones in literature. Physical sciences/Physics/Condensed matter physics/Semiconductors/Two dimensional materials Physical sciences/Physics/Quantum physics/Quantum mechanics Physical sciences/Nanoscience and technology/Nanoscale materials/Two dimensional materials semiconductor heterostructures hydrogenic impurity states expansion method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 28 Dec, 2024 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Accepted 26 Nov, 2024 Reviews received at journal 07 Sep, 2024 Reviewers agreed at journal 16 Aug, 2024 Reviewers agreed at journal 01 Jul, 2024 Reviews received at journal 03 Jun, 2024 Reviewers agreed at journal 21 May, 2024 Reviewers agreed at journal 20 May, 2024 Reviewers invited by journal 20 May, 2024 Editor assigned by journal 19 May, 2024 Editor invited by journal 09 May, 2024 Submission checks completed at journal 09 May, 2024 First submitted to journal 15 Apr, 2024 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. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4272167","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":292616318,"identity":"731f7e7f-c20f-46fd-9001-87b0a00da7ba","order_by":0,"name":"Volodymyr Akimov","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAv0lEQVRIiWNgGAWjYBACNhiDH0QkFBClhRnCkGwAaTEgyh6oFoMDYJIIDXzS/cc+fMw5HG18fnXihwcGDPL8YgcIOEzmMPPMmdsO52678XazBNBhhjNnJxDQIpHMzMwL1nJ2A0hLgsFtYrT8BWrZPOPs5h/Ea2EEatnA37uNaFuMGXu3pefOuMG7zSLBQIKwX+RnJD5m+LnNOre//+zmmz8qbOT5pQloQQAJsEoJYpWDAP8BUlSPglEwCkbBSAIAYsZCVWJDcg4AAAAASUVORK5CYII=","orcid":"","institution":"Universidad de Medellín","correspondingAuthor":true,"prefix":"","firstName":"Volodymyr","middleName":"","lastName":"Akimov","suffix":""},{"id":292616322,"identity":"171aea78-603f-43d8-8885-8c9f0a4e88d7","order_by":1,"name":"Viktor Tulupenko","email":"","orcid":"","institution":"Donbas State Engineering Academy","correspondingAuthor":false,"prefix":"","firstName":"Viktor","middleName":"","lastName":"Tulupenko","suffix":""},{"id":292616325,"identity":"1a5fd37c-b253-4568-af69-a295faa9fea3","order_by":2,"name":"Roman Demediuk","email":"","orcid":"","institution":"Donbas State Pedagogical University","correspondingAuthor":false,"prefix":"","firstName":"Roman","middleName":"","lastName":"Demediuk","suffix":""},{"id":292616327,"identity":"c722e31b-1835-4e55-9942-6ed64fde8a43","order_by":3,"name":"Anton Tiutiunnyk","email":"","orcid":"","institution":"Universidad de Tarapacá","correspondingAuthor":false,"prefix":"","firstName":"Anton","middleName":"","lastName":"Tiutiunnyk","suffix":""},{"id":292616328,"identity":"ad85e745-1b91-4d97-b367-07e47fd19c3e","order_by":4,"name":"Carlos A. 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