Energy spectra of two electrons in a harmonic quantum dot

1991 ◽  
Vol 43 (9) ◽  
pp. 7320-7323 ◽  
Author(s):  
U. Merkt ◽  
J. Huser ◽  
M. Wagner
Keyword(s):  
2016 ◽  
Vol 481 ◽  
pp. 179-184 ◽  
Author(s):  
Z.D. Vatansever ◽  
S. Sakiroglu ◽  
K. Akgungor ◽  
I. Sokmen
Keyword(s):  

2013 ◽  
Vol 483 ◽  
pp. 170-173
Author(s):  
An Mei Wang

A method is proposed to exactly diagonalize the Hamiltonian of a N-layer quantum dot containing a single electron in each dot in arbitrary magnetic fields. the energy spectra of the dot are calculated as a function of the applied magnetic field. We find disco-ntinuous ground-state energy transitions induced by an external magnetic field in the case of strong coupling. However, in the case of weak coupling, such a transition does not occur and the angular momentum remains zero.


2020 ◽  
Vol 21 (4) ◽  
pp. 584-590
Author(s):  
I.V. Bilynskyi ◽  
R.Ya. Leshko ◽  
H.O. Bandura

The band spectrum of quantum dots superlattices of different shapes at points of high symmetry is determined. Cubic, cylindrical and spherical quantum dots are considered. The width of the minizone is calculated. The dependences of the minizones on the geometric dimensions of quantum dots and their concentration are established.


2017 ◽  
Vol 18 (1) ◽  
pp. 94-101 ◽  
Author(s):  
V.I. Boichuk ◽  
I.V. Bilynskyi ◽  
R.I. Pazyuk

In this paper, the model of InAs/GaxIn1-xAs cubic quantum dot superlattices (CQDS) of various dimensionality has been proposed. The energy spectra of electrons and holes of the quantum dot superlattice have been determined in the effective mass approximation and modified Kronig-Penney model. In the frame of this model, the spectra of charges of 3D, 2D and 1D-superlattices can be obtained by changing respective distances between the elements of the superlattice. The energy dependence of the electron and hole subbands (under-the-barrier subbands and over-the-barrier subbands) on the wave vector of the superlattice has been calculated. The number of under-the-barrier subbands is determined by QD size and width of each subband is defined by QD size, distances between superlattice elements and subband numerical index. The dependences of the Fermi energy and concentration of charge carriers on temperature, concentration of impurities, energy of impurity levels have been obtained and analyzed. We have taken account of the dependence of electron relaxation time on temperature caused by scattering of carriers on both phonons and donor centers. The effect of the impurity system on electroconductivity of the CQDS is investigated. 


2003 ◽  
Vol 17 (18) ◽  
pp. 973-981 ◽  
Author(s):  
Yi-Min Liu ◽  
Gang-Ming Huang

A lithium quantum dot (QD) with a charged impurity is studied, where the charged impurity is located on the z-axis at a distance d from the lithium QD plane (the x–y plane). Using the method of few-body physics, the energy spectra of the low-lying states of the QD are obtained as a function of d. It is found that the energy spectra depend strongly on both the position and charge of the impurity. Furthermore, the impurity affects the electronic configurations of the QD, i.e. the spatial distribution of the electrons of the QD. Our calculations indicate that the change of d induces transitions in the ground states of the QD, which can be explained by dynamics and symmetry.


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