najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2025-16-3-306-310najo-318Research ArticleNANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICSНАНОСИСТЕМЫ: ФИЗИКА, ХИМИЯ, МАТЕМАТИКАEffect of electron-phonon interaction on the first excited energy level of a Gaussian GaAs quantum dotЭффект электрон-фононного взаимодействия на первом возбужденном уровне энергии гауссовой квантовой точки GaAshttps://orcid.org/0000-0002-8198-2872МукхопадхьяйС.MukhopadhyayS.

Soma Mukhopadhyay – Department of Physics

Mangalpalli, Ibrahimpatnam, Hyderabad 501510, Telangana

soma9r9@gmail.comhttps://orcid.org/0009-0003-5041-0833ВидьюллатаЧ.VidyullathaCh.

Ch. Vidyullatha – Department of Humanities and Sciences

Medchal, Hyderabad 50140, Telangana

vidyullathakodur@gmail.comhttps://orcid.org/0000-0002-1949-2012СаиниП.SainiP.

Pooja Saini

Bhubaneswar, 751005, Odisha

pooja.saini@iopb.res.inМаликЗ.MalikZ.

Raleigh, 27606

CVR college of EngineeringIndiaCMR College of Engineering and TechnologyIndiaInstitute of PhysicsIndiaNorth Carolina State UniversityUnited States202529062025163306310Copyright © Mukhopadhyay S., Vidyullatha C., Saini P., Malik Z., 20252025Мукхопадхьяй С., Видьюллата Ч., Саини П., Малик З.Mukhopadhyay S., Vidyullatha C., Saini P., Malik Z.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/318

The effect of electron-phonon interaction on the first excited state of a three-dimensional polar semiconductor quantum dot with Gaussian confinement is studied using the second-order Rayleigh-Schr¨odinger perturbation theory. An analytical expression for the first excited state polaronic correction is obtained under a plausible approximation. It is shown that this energy depends both on the strength and range of the Gaussian potential. Finally our theory is applied to a GaAs quantum dot and it is shown that the polaronic effect to the first excited level can be significantly large if the size of the dot is small. Since the information of the excited states is important for the study of decoherence phenomena, our results could be useful for quantum information processing.

Эффект электрон-фононного взаимодействия на первом возбужденном состоянии трехмерной полярной полупроводниковой квантовой точки с гауссовым ограничением изучается с использованием теории возмущений Рэлея-Шредингера второго порядка. Аналитическое выражение для поляронной поправки первого возбужденного состояния получено в правдоподобном приближении. Показано, что эта энергия зависит как от силы, так и от диапазона гауссова потенциала. Наконец, наша теория применяется к квантовой точке GaAs, и показано, что поляронный эффект на первом возбужденном уровне может быть значительно большим, если размер точки мал. Поскольку информация о возбужденных состояниях важна для изучения явлений декогеренции, наши результаты могут быть полезны для обработки квантовой информации.

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The authors declare that there are no conflicts of interest present.