Aharonov-Bohm effect in non-uniform crater-like quantum dot with double rim

We study electron energies in a double concentric quantum ring with anisotropy in the rims heights in the presence of the external magnetic field applied along the symmetry axis. To this end, we consider a model in which the thickness grows linearly from the axis up to the inner rim with a slope different from one between the inner and the outer rims. The anisotropy in the rims heights originated by the presence in the structure of various valleys we simulate by periodic dependence of the slope on the radial direction. We show that the wave functions of the electron confined in such structure can be found analytically if the slopes in all radial directions are the same, and by using a simple exact diagonalization procedure otherwise. The behavior of the electron energies as functions of the magnetic field, rings radii and rims heights, as well as the number of the valleys and their depths is consistently described with our formalism. The entanglement of the states with different radial and orbital quantum numbers, the period and the amplitude of the Aharonov-Bohm oscillations are very sensible to any variations of the rims heights. © 2015 Published by Elsevier B.V.

Авторы
García L.F.1 , Revinova S.Y. 2 , Mikhailov I.D. 1
Редакторы
-
Издательство
Elsevier
Номер выпуска
-
Язык
Английский
Страницы
101-108
Статус
Опубликовано
Подразделение
-
Номер
-
Том
71
Год
2015
Организации
  • 1 Escuela de Física, Universidad Industrial de Santander, A. A. 678, Bucaramanga, Colombia
  • 2 Peoples' Friendship University of Russia, Miklujo-Maklaya, No. 6, Moscow, Russian Federation
Ключевые слова
Aharonov-Bohm effect; Concentric quantum rings; Crater like quantum ring; Nanoring; Non uniform thickness
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4547/