najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2026-17-3-339-345najo-1841Research ArticlePHYSICSФИЗИКАEffect of spin-orbit interactions on an off-center D0 impurity in an asymmetric quantum dot under a magnetic fieldВлияние спин-орбитальных взаимодействий на смещенную от центра примесь D0 в асимметричной квантовой точке под действием магнитного поляhttps://orcid.org/0000-0002-1949-2012СаиниП.SainiP.

Pooja Saini – Department of Mathematics.

Howrah-711103, West Bengal

jnu.poojasaini@gmail.comhttps://orcid.org/0000-0002-8198-2872МукхопадхайС.MukhopadhyayS.

Soma Mukhopadhyay – Department of H& S, CVR College of Engineering, Ibrahimpatnam.

Rangareddy, Telangana, 501510

soma9r9@gmail.comhttps://orcid.org/0000-0002-5251-5327ПоповИ. Ю.PopovI. Y.

Igor Y. Popov – Institute of Mathematics.

Kronverkskiy, 49, St. Petersburg, 197101

popov1955@gmail.comhttps://orcid.org/0000-0002-9658-7162ЧаттерджиА.ChatterjeeA.

Ashok Chatterjee – Department of Physics.

Ghatkesar, Hyderabad, Telangana, 500088

acsp.uohyd@gmail.comIIEST ShibpurIndiaCVR College of EngineeringIndiaITMO UniversityRussian FederationAnurag UniversityIndia202618072026173339345Copyright © Saini P., Mukhopadhyay S., Popov I.Y., Chatterjee A., 20262026Саини П., Мукхопадхай С., Попов И.Ю., Чаттерджи А.Saini P., Mukhopadhyay S., Popov I.Y., Chatterjee A.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/1841

We evaluate the ground state energy of an off-centre Coulomb impurity in an asymmetric Gaussian GaAs quantum dot under a constant magnetic field. Using a unitary transformation, we take into account the combined effect of the Rashba and Dresselhaus interactions treating the coupling terms up to quadratic order. We next treat the transformed Hamiltonian using a variational approach with a suitable ansatz. The findings reveal that the ground state energy increases with growing impurity distance from the confinement centre and with increasing potential asymmetry. Finally, we examine how the asymmetry in the Gaussian confinement influences the magnetic moment and susceptibility of the impurity.

Мы оцениваем энергию основного состояния смещенной кулоновской примеси в асимметричной гауссовой квантовой точке GaAs в постоянном магнитном поле. Используя унитарное преобразование, мы учитываем комбинированный эффект взаимодействий Рашбы и Дрессельхауса, рассматривая члены связи до квадратичного порядка. Затем мы рассматриваем преобразованный гамильтониан, используя вариационный подход с подходящей анзац-формой. Результаты показывают, что энергия основного состояния увеличивается с увеличением расстояния примеси от центра ограничения и с увеличением асимметрии потенциала. Наконец, мы исследуем, как асимметрия в гауссовом ограничении влияет на магнитный момент и восприимчивость примеси.

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