{"title":"The effect of a new position-dependent effective mass on the optical properties of a hydrogenic donor in a spherical quantum dot","authors":"K. Bayrak, D. Kaya, G.B. Gök, O. Bayrak","doi":"10.1016/j.aop.2025.170074","DOIUrl":null,"url":null,"abstract":"<div><div>The influence of a new position-dependent effective mass on the electronic and optical properties of a hydrogenic donor in a GaAs quantum dot is investigated. The electron mass is modeled as a function of spatial position, temperature, and hydrostatic pressure, allowing for a more comprehensive understanding of the system’s behavior under varying external conditions. The position-dependent radial Schrödinger equation is solved for the spherical Coulomb potential, and the bound state energy eigenvalues, along with the corresponding wave functions, are computed using the Runge–Kutta method. The effects of position-dependent effective mass and donor radius on confinement energy, dipole matrix element, absorption coefficient, and refractive index change are analyzed. This study underscores the importance of incorporating position-dependent mass, temperature, and hydrostatic pressure in calculating the electronic and optical properties of the hydrogenic donor in the GaAs quantum dot.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170074"},"PeriodicalIF":3.0000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625001551","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The influence of a new position-dependent effective mass on the electronic and optical properties of a hydrogenic donor in a GaAs quantum dot is investigated. The electron mass is modeled as a function of spatial position, temperature, and hydrostatic pressure, allowing for a more comprehensive understanding of the system’s behavior under varying external conditions. The position-dependent radial Schrödinger equation is solved for the spherical Coulomb potential, and the bound state energy eigenvalues, along with the corresponding wave functions, are computed using the Runge–Kutta method. The effects of position-dependent effective mass and donor radius on confinement energy, dipole matrix element, absorption coefficient, and refractive index change are analyzed. This study underscores the importance of incorporating position-dependent mass, temperature, and hydrostatic pressure in calculating the electronic and optical properties of the hydrogenic donor in the GaAs quantum dot.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.