Linear and nonlinear optical properties of a single dopant in GaN conical quantum dot with spherical cap

ABSTRACT

The states of a single dopant centre in zinc-blende GaN-based conical quantum dots with spherical cap are theoretically investigated by analytically solving the corresponding effective mass equation taking advantage of the localisation of the ionised impurity at the cone apex. Nonlinear optical response is analysed through the calculation of the coefficients of optical absorption, relative refractive index change, and second and third harmonic generation, for the chosen set of allowed electron-donor states. The behaviour of the calculated optical quantities under changes in the geometry of the system due to variations in apical width and quantum dot radius is analysed and discussed.

KEYWORDS:

• Quantum dot
• donor impurity
• binding energy
• optical absorption

Acknowledgments

MEMR thanks Universidad de Antioquia for kind hospitality during sabbatical stay 2019–2020, and to Mexican CONACYT for support through Grant CB-2017-2018 No. A1-S-8218. This research was partially supported by Colombian Agencies: Universidad EIA, CODI-Universidad de Antioquia (Estrategia de Sostenibilidad de la Universidad de Antioquia and projects ‘Propiedades magneto-ópticas y óptica no lineal en super redes de Grafeno’ and ‘Estudio de propiedades ópticas en sistemas semiconductores de dimensiones nanoscópicas’), and Facultad de Ciencias Exactas y Naturales-Universidad de Antioquia (CAD-exclusive dedication project 2019-2020). The authors are grateful to the Universidad EIA and Universidad de Antioquia for financial support through the EIA-UdeA-project ‘Propiedades optoelectrónicas en puntos cuánticos semiconductores’. C. A. Duque is grateful to J. H. Ojeda, co-researcher in the project financed by Universidad Pedagógica y Tecnológica de Colombia (project SGI 2787). The authors also acknowledge the financial support from el Patrimonio Autónomo Fondo Nacional de Financiamiento para la Ciencia, la Tecnología y la Innovación Francisco José de Caldas (project: CD 111580863338, CT FP80740-173-2019).

Data availability statement

All the files with tables, figures, and codes are available. The corresponding author will provide all the files in case they are requested.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

MEMR thanks Universidad de Antioquia for kind hospitality during sabbatical stay 2019-2020, and to Mexican Consejo Nacional de Ciencia y Tecnología (CONACYT) for support through Grant CB-2017-2018 No. A1-S-8218. This research was partially supported by Colombian Agencies: Universidad EIA, CODI-Universidad de Antioquia (Estrategia de Sostenibilidad de la Universidadde Antioquia and projects ‘Propiedades magneto-ópticas y óptica no lineal en super redes de Grafeno’ and ‘Estudio de propiedades ópticas en sistemas semiconductores de dimensiones nanoscópicas’), and Facultad de Ciencias Exactas y Naturales-Universidad de Antioquia (CAD-exclusive dedication project 2019–2020). The authors are grateful to the Universidad EIA and Universidad de Antioquia for financial support through the EIA-UdeA-project ‘Propiedades optoelectrónicas en puntos cuánticos semiconductores’. C.A. Duque is grateful to J. H. Ojeda, co-researcher in the project financed by Universidad Pedagógica y Tecnológica de Colombia (project SGI 2787). The authors also acknowledge the financial support from el Patrimonio Autónomo Fondo Nacional de Financiamiento para la Ciencia, la Tecnología y la Innovación Francisco José de Caldas (project: CD 111580863338, CT FP80740-173-2019).