IEICE TRANSACTIONS on Electronics
An Investigation of Magnetic Field Effects on Energy States for Nanoscale InAs/GaAs Quantum Rings and Dots
Summary :
In this paper, we investigate the electron-hole energy states and energy gap in three-dimensional (3D) InAs/GaAs quantum rings and dots with different shapes under external magnetic fields. Our realistic model formulation includes: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve the 3D nonlinear problem without any fitting parameters, we have applied the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of applied magnetic fields into torus ring region, for ellipsoidal- and rectangular-shaped quantum rings we find nonperiodical oscillations of the energy gap between the lowest electron and hole states as a function of external magnetic fields. The nonperiodical oscillation is different from 1D periodical argument and strongly dependent on structure shape and size. The result is useful to study magneto-optical properties of the nanoscale quantum rings and dots.
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- IEICE TRANSACTIONS on Electronics Vol.E86-C No.3 pp.466-473
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- 2003/03/01
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- Special Section PAPER (Special Issue on the 2002 IEEE International Conference on Simulation of Semiconductor Processes and Devices (SISPAD'02))
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Yiming LI, Hsiao-Mei LU, "An Investigation of Magnetic Field Effects on Energy States for Nanoscale InAs/GaAs Quantum Rings and Dots" in IEICE TRANSACTIONS on Electronics,
vol. E86-C, no. 3, pp. 466-473, March 2003, doi: .
Abstract: In this paper, we investigate the electron-hole energy states and energy gap in three-dimensional (3D) InAs/GaAs quantum rings and dots with different shapes under external magnetic fields. Our realistic model formulation includes: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve the 3D nonlinear problem without any fitting parameters, we have applied the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of applied magnetic fields into torus ring region, for ellipsoidal- and rectangular-shaped quantum rings we find nonperiodical oscillations of the energy gap between the lowest electron and hole states as a function of external magnetic fields. The nonperiodical oscillation is different from 1D periodical argument and strongly dependent on structure shape and size. The result is useful to study magneto-optical properties of the nanoscale quantum rings and dots.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e86-c_3_466/_p
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@ARTICLE{e86-c_3_466,
author={Yiming LI, Hsiao-Mei LU, },
journal={IEICE TRANSACTIONS on Electronics},
title={An Investigation of Magnetic Field Effects on Energy States for Nanoscale InAs/GaAs Quantum Rings and Dots},
year={2003},
volume={E86-C},
number={3},
pages={466-473},
abstract={In this paper, we investigate the electron-hole energy states and energy gap in three-dimensional (3D) InAs/GaAs quantum rings and dots with different shapes under external magnetic fields. Our realistic model formulation includes: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve the 3D nonlinear problem without any fitting parameters, we have applied the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of applied magnetic fields into torus ring region, for ellipsoidal- and rectangular-shaped quantum rings we find nonperiodical oscillations of the energy gap between the lowest electron and hole states as a function of external magnetic fields. The nonperiodical oscillation is different from 1D periodical argument and strongly dependent on structure shape and size. The result is useful to study magneto-optical properties of the nanoscale quantum rings and dots.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - An Investigation of Magnetic Field Effects on Energy States for Nanoscale InAs/GaAs Quantum Rings and Dots
T2 - IEICE TRANSACTIONS on Electronics
SP - 466
EP - 473
AU - Yiming LI
AU - Hsiao-Mei LU
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E86-C
IS - 3
JA - IEICE TRANSACTIONS on Electronics
Y1 - March 2003
AB - In this paper, we investigate the electron-hole energy states and energy gap in three-dimensional (3D) InAs/GaAs quantum rings and dots with different shapes under external magnetic fields. Our realistic model formulation includes: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve the 3D nonlinear problem without any fitting parameters, we have applied the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of applied magnetic fields into torus ring region, for ellipsoidal- and rectangular-shaped quantum rings we find nonperiodical oscillations of the energy gap between the lowest electron and hole states as a function of external magnetic fields. The nonperiodical oscillation is different from 1D periodical argument and strongly dependent on structure shape and size. The result is useful to study magneto-optical properties of the nanoscale quantum rings and dots.
ER -
English
