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Finite-difference calculation of donor energy levels in a spherical quantum dot subject to a magnetic field
Institution:1. Programa de Pós-Graduação em Ciência e Tecnologia de Materiais, Unesp - Universidade Estadual Paulista, 17033-360, Bauru, SP, Brazil;2. Departamento de Matemática, Faculdade de Ciências, Unesp - Universidade Estadual Paulista, 17033-360, Bauru, SP, Brazil;1. Laboratoire de Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Group of Optoelectronic of Semiconductors and Nanomaterials, ENSET, Mohammed V University in Rabat, Morocco;2. Institut de Chimie, Physique et Matériaux, LCP-A2MC, Université de Lorraine, Metz, France;3. Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;4. Division of Theorical Physics, Dong Thap University, Dong Thap 870000, Viet Nam;1. Department of Optics and Laser Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran;2. Department of Physics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran;1. Laboratoire de Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Group of Optoelectronic of Semiconductors and Nanomaterials, ENSET, Mohammed V University in Rabat 1, Morocco;2. LCP-A2MC, Institut de Chimie, Physique et Matériaux, Université de Lorraine, Metz, France;3. Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;1. School of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, 273165, Qufu, China;2. Qufu Library, Qufu, 273100, China;3. College of Physics and Electronic Information, Inner Mongolia University for Nationalities, Tongliao, 028043, China;1. Russian-Armenian University, 123 Hovsep Emin Str., Yerevan, 0051, Armenia;2. Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg, 195251 Russia;3. Yerevan State University, 0025 Yerevan, Armenia
Abstract:The ground and excited states of a donor impurity at the center of a spherical quantum dot subject to a magnetic field are calculated within the effective-mass approximation. The barriers are infinitely high and the differential equation is solved by combining the finite-difference method with the Richardson extrapolation. The binding and transition energies are more accurate than the available variational values, and excellent agreement is found with the hydrogen atom. The transition energies for a medium-size quantum dot are given.
Keywords:Quantum dot  Semiconductor  Impurity  Zeeman splitting
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