TY  - JOUR
AU  - Topalović, Dušan
AU  - Arsoski, Vladimir
AU  - Tadić, Milan Ž.
AU  - Peeters, François M.
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8534
AB  - We investigate the electron states and optical absorption in square- and hexagonal-shaped two-dimensional (2D) HgTe quantum dots and quantum rings in the presence of a perpendicular magnetic field. The electronic structure is modeled by means of the sp3d5s∗ tight-binding method within the nearest-neighbor approximation. Both bulklike and edge states appear in the energy spectrum. The bulklike states in quantum rings exhibit Aharonov-Bohm oscillations in magnetic field, whereas no such oscillations are found in quantum dots, which is ascribed to the different topology of the two systems. When magnetic field varies, all the edge states in square quantum dots appear as quasibands composed of almost fully flat levels, whereas some edge states in quantum rings are found to oscillate with magnetic field. However, the edge states in hexagonal quantum dots are localized like in rings. The absorption spectra of all the structures consist of numerous absorption lines, which substantially overlap even for small line broadening. The absorption lines in the infrared are found to originate from transitions between edge states. It is shown that the magnetic field can be used to efficiently tune the optical absorption of HgTe 2D quantum dot and quantum ring systems. © 2019 American Physical Society.
T2  - Physical Review B
T1  - Confined electron states in two-dimensional HgTe in magnetic field: Quantum dot versus quantum ring behavior
VL  - 100
IS  - 12
SP  - 125304
DO  - 10.1103/PhysRevB.100.125304
ER  - 

@article{
author = "Topalović, Dušan and Arsoski, Vladimir and Tadić, Milan Ž. and Peeters, François M.",
year = "2019",
abstract = "We investigate the electron states and optical absorption in square- and hexagonal-shaped two-dimensional (2D) HgTe quantum dots and quantum rings in the presence of a perpendicular magnetic field. The electronic structure is modeled by means of the sp3d5s∗ tight-binding method within the nearest-neighbor approximation. Both bulklike and edge states appear in the energy spectrum. The bulklike states in quantum rings exhibit Aharonov-Bohm oscillations in magnetic field, whereas no such oscillations are found in quantum dots, which is ascribed to the different topology of the two systems. When magnetic field varies, all the edge states in square quantum dots appear as quasibands composed of almost fully flat levels, whereas some edge states in quantum rings are found to oscillate with magnetic field. However, the edge states in hexagonal quantum dots are localized like in rings. The absorption spectra of all the structures consist of numerous absorption lines, which substantially overlap even for small line broadening. The absorption lines in the infrared are found to originate from transitions between edge states. It is shown that the magnetic field can be used to efficiently tune the optical absorption of HgTe 2D quantum dot and quantum ring systems. © 2019 American Physical Society.",
journal = "Physical Review B",
title = "Confined electron states in two-dimensional HgTe in magnetic field: Quantum dot versus quantum ring behavior",
volume = "100",
number = "12",
pages = "125304",
doi = "10.1103/PhysRevB.100.125304"
}

Topalović, D., Arsoski, V., Tadić, M. Ž.,& Peeters, F. M.. (2019). Confined electron states in two-dimensional HgTe in magnetic field: Quantum dot versus quantum ring behavior. in Physical Review B, 100(12), 125304.
https://doi.org/10.1103/PhysRevB.100.125304

Topalović D, Arsoski V, Tadić MŽ, Peeters FM. Confined electron states in two-dimensional HgTe in magnetic field: Quantum dot versus quantum ring behavior. in Physical Review B. 2019;100(12):125304.
doi:10.1103/PhysRevB.100.125304 .

Topalović, Dušan, Arsoski, Vladimir, Tadić, Milan Ž., Peeters, François M., "Confined electron states in two-dimensional HgTe in magnetic field: Quantum dot versus quantum ring behavior" in Physical Review B, 100, no. 12 (2019):125304,
https://doi.org/10.1103/PhysRevB.100.125304 . .

TY  - JOUR
AU  - Topalović, Dušan
AU  - Arsoski, Vladimir
AU  - Pavlović, Suncan
AU  - Čukarić, Nemanja A. 
AU  - Tadić, Milan Ž.
AU  - Peeters, François M.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/974
AB  - We use the Galerkin approach and the finite-element method to numerically solve the effective-mass Schrodinger equation. The accuracy of the solution is explored as it varies with the range of the numerical domain. The model potentials are those of interdiffused semiconductor quantum wells and axially symmetric quantum wires. Also, the model of a linear harmonic oscillator is considered for comparison reasons. It is demonstrated that the absolute error of the electron ground state energy level exhibits a minimum at a certain domain range, which is thus considered to be optimal. This range is found to depend on the number of mesh nodes N approximately as alpha(0) log(e)(alpha 1) (alpha N-2), where the values of the constants alpha(0), alpha(1), and alpha(2) are determined by fitting the numerical data. And the optimal range is found to be a weak function of the diffusion length. Moreover, it was demonstrated that a domain range adaptation to the optimal value leads to substantial improvement of accuracy of the solution of the Schrodinger equation.
T2  - Communications in Theoretical Physics
T1  - On Improving Accuracy of Finite-Element Solutions of the Effective-Mass Schrodinger Equation for Interdiffused Quantum Wells and Quantum Wires
VL  - 65
IS  - 1
SP  - 105
EP  - 113
UR  - https://hdl.handle.net/21.15107/rcub_vinar_974
ER  - 

@article{
author = "Topalović, Dušan and Arsoski, Vladimir and Pavlović, Suncan and Čukarić, Nemanja A.  and Tadić, Milan Ž. and Peeters, François M.",
year = "2016",
abstract = "We use the Galerkin approach and the finite-element method to numerically solve the effective-mass Schrodinger equation. The accuracy of the solution is explored as it varies with the range of the numerical domain. The model potentials are those of interdiffused semiconductor quantum wells and axially symmetric quantum wires. Also, the model of a linear harmonic oscillator is considered for comparison reasons. It is demonstrated that the absolute error of the electron ground state energy level exhibits a minimum at a certain domain range, which is thus considered to be optimal. This range is found to depend on the number of mesh nodes N approximately as alpha(0) log(e)(alpha 1) (alpha N-2), where the values of the constants alpha(0), alpha(1), and alpha(2) are determined by fitting the numerical data. And the optimal range is found to be a weak function of the diffusion length. Moreover, it was demonstrated that a domain range adaptation to the optimal value leads to substantial improvement of accuracy of the solution of the Schrodinger equation.",
journal = "Communications in Theoretical Physics",
title = "On Improving Accuracy of Finite-Element Solutions of the Effective-Mass Schrodinger Equation for Interdiffused Quantum Wells and Quantum Wires",
volume = "65",
number = "1",
pages = "105-113",
url = "https://hdl.handle.net/21.15107/rcub_vinar_974"
}

Topalović, D., Arsoski, V., Pavlović, S., Čukarić, N. A., Tadić, M. Ž.,& Peeters, F. M.. (2016). On Improving Accuracy of Finite-Element Solutions of the Effective-Mass Schrodinger Equation for Interdiffused Quantum Wells and Quantum Wires. in Communications in Theoretical Physics, 65(1), 105-113.
https://hdl.handle.net/21.15107/rcub_vinar_974

Topalović D, Arsoski V, Pavlović S, Čukarić NA, Tadić MŽ, Peeters FM. On Improving Accuracy of Finite-Element Solutions of the Effective-Mass Schrodinger Equation for Interdiffused Quantum Wells and Quantum Wires. in Communications in Theoretical Physics. 2016;65(1):105-113.
https://hdl.handle.net/21.15107/rcub_vinar_974 .

Topalović, Dušan, Arsoski, Vladimir, Pavlović, Suncan, Čukarić, Nemanja A. , Tadić, Milan Ž., Peeters, François M., "On Improving Accuracy of Finite-Element Solutions of the Effective-Mass Schrodinger Equation for Interdiffused Quantum Wells and Quantum Wires" in Communications in Theoretical Physics, 65, no. 1 (2016):105-113,
https://hdl.handle.net/21.15107/rcub_vinar_974 .