Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Interacting electrons in a 2D quantum dot
Download
index.pdf
Date
1999-04-01
Author
Akman, N
Tomak, Mehmet
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
234
views
63
downloads
Cite This
The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons. The results an compared with those of the perturbation theory. Our numerical results agree reasonably well for small values of the dimensionless coupling constant lambda = a/a(B) where a is the dot radius and a(B) is the effective Bohr radius. Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large lambda values.
Subject Keywords
Electron correlations
,
2D quantum dot
URI
https://hdl.handle.net/11511/44698
Journal
PHYSICA B
DOI
https://doi.org/10.1016/s0921-4526(98)01159-4
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Exciton related nonlinear optical properties of a spherical quantum dot
Aksahin, E.; Unal, V. Ustoglu; Tomak, Mehmet (2015-11-01)
The nonlinear optical properties of an exciton in a spherical quantum dot (QD) is studied analytically. The nonlinear optical coefficients are calculated within the density matrix formalism. The electronic problem is solved within the effective mass approximation. The contributions from the competing effects of the confinement, the Coulomb interaction, and the applied electric field are calculated and compared with each other. We have made no assumptions about the strength of the confinement. We concentrate...
Nonlinear optical properties of semiconductor heterostructures
Yıldırım, Hasan; Tomak, Mehmet; Department of Physics (2006)
The nonlinear optical properties of semiconductor heterostructures, such as GaAsAl/GaAs alloys, are studied with analytic and numerical methods on the basis of quantum mechanics. Particularly, second and third-order nonlinear optical properties of quantum wells described by the various types of confining potentials are considered within the density matrix formalism. We consider a Pöschl-Teller type potential which has been rarely considered in this area. It has a tunable asymmetry parameter, making it a goo...
Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential
Akçay, Hüseyin; Sever, Ramazan (2016-07-04)
We investigate the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator confined by an antidot potential in the presence of a magnetic field and Aharonov-Bohm flux field. Analytical solutions are obtained and compared with the results of the Schrodinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed.
Spin–orbit effects on the nonlinear optical properties of a quantum dot in simultaneous electric and magnetic fields
Aytekin, O.; Turgut, Sadi; Tomak, Mehmet (Elsevier BV, 2014-11)
We report on the nonlinear optical properties of a quantum dot including the Rashba spin-orbit interaction (RSOI) with external electric and magnetic fields. The effect of dot size is considered. We do not make any assumptions about the strength of the confinement. We use the numerical diagonalization of the Hamiltonian to determine the electronic structure. The confining potential is taken to be of the Woods-Saxon type. We find the effect of RSOI on nonlinear optical coefficients.
Spectra of cylindrical quantum dots: The effect of electrical and magnetic fields together with AB flux field
IKHDAİR, SAMEER; Hamzavi, Majid; Sever, Ramazan (2012-12-01)
We study the spectral properties of electron quantum dots (QDs) confined in 2D parabolic harmonic oscillator influenced by external uniform electrical and magnetic fields together with an Aharonov-Bohm (AB) flux field. We use the Nikiforov-Uvarov method in our calculations. Exact solutions for the energy levels and normalized wave functions are obtained for this exactly soluble quantum system. Based on the computed one-particle energetic spectrum and wave functions, the interband optical absorption GaAs sph...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
N. Akman and M. Tomak, “Interacting electrons in a 2D quantum dot,”
PHYSICA B
, pp. 317–321, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44698.