Analyses of localized confinement potential in semiconductor strained wires and dots buried in lattice-mismatched materials

K. Nishi, A. Yamaguchi, Jouni Ahopelto, A. Usui, H. Sakaki

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Abstract

Analytical and finite‐element‐method calculations have been conducted for obtaining strain distributions and consequent carrier confinement potential changes in semiconductor strained wires and dots made of lattice‐mismatched materials. The inhomogeneous strain distribution modifies the confinement potentials locally, which causes carrier wave function localization. First, to obtain a fundamental strain distribution and band‐structure change semiquantitatively, analytical calculations are performed in simple, symmetrical structures such as an InP cylinder and an InP ball buried in GaAs or InGaP matrices assuming isotropic valence bands and isotropic elastic characteristics. Here, strain is found to exist in the surrounding matrices as well as in the wires and dots. This effect is peculiar to the strained wire and dot because in pseudomorphic strained layers there is no strain in surrounding matrices. Thus, the band structures are found to be greatly modified in the surrounding matrix as well as in the wire or dot. Hole effective masses at the band edge are also calculated by diagonalizing a 4×4 orbital strain Hamiltonian. Furthermore, to calculate the effects in a realistic structure, finite‐element‐method calculations are performed for a triangle‐shaped InP wire along the 〈110〉 direction, including anisotropic elastic characteristics. Calculated nonuniform strain within the wire is found to modify the confinement potential, which localizes electrons near the base. Valence subbands are largely split near the vertices. From these results, the strained wires and dots are found to be applicable for quantum wires and dots, in which the quantum confinement effect will be enhanced by the modified confinement potential due to the inhomogeneous strain.
Original languageEnglish
Pages (from-to)7437-7445
Number of pages9
JournalJournal of Applied Physics
Volume76
Issue number11
DOIs
Publication statusPublished - 1994
MoE publication typeA1 Journal article-refereed

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wire
strain distribution
matrices
carrier waves
valence
quantum wires
balls
apexes
quantum dots
wave functions
orbitals
causes
electrons

Cite this

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title = "Analyses of localized confinement potential in semiconductor strained wires and dots buried in lattice-mismatched materials",
abstract = "Analytical and finite‐element‐method calculations have been conducted for obtaining strain distributions and consequent carrier confinement potential changes in semiconductor strained wires and dots made of lattice‐mismatched materials. The inhomogeneous strain distribution modifies the confinement potentials locally, which causes carrier wave function localization. First, to obtain a fundamental strain distribution and band‐structure change semiquantitatively, analytical calculations are performed in simple, symmetrical structures such as an InP cylinder and an InP ball buried in GaAs or InGaP matrices assuming isotropic valence bands and isotropic elastic characteristics. Here, strain is found to exist in the surrounding matrices as well as in the wires and dots. This effect is peculiar to the strained wire and dot because in pseudomorphic strained layers there is no strain in surrounding matrices. Thus, the band structures are found to be greatly modified in the surrounding matrix as well as in the wire or dot. Hole effective masses at the band edge are also calculated by diagonalizing a 4×4 orbital strain Hamiltonian. Furthermore, to calculate the effects in a realistic structure, finite‐element‐method calculations are performed for a triangle‐shaped InP wire along the 〈110〉 direction, including anisotropic elastic characteristics. Calculated nonuniform strain within the wire is found to modify the confinement potential, which localizes electrons near the base. Valence subbands are largely split near the vertices. From these results, the strained wires and dots are found to be applicable for quantum wires and dots, in which the quantum confinement effect will be enhanced by the modified confinement potential due to the inhomogeneous strain.",
author = "K. Nishi and A. Yamaguchi and Jouni Ahopelto and A. Usui and H. Sakaki",
year = "1994",
doi = "10.1063/1.357970",
language = "English",
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journal = "Journal of Applied Physics",
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Analyses of localized confinement potential in semiconductor strained wires and dots buried in lattice-mismatched materials. / Nishi, K.; Yamaguchi, A.; Ahopelto, Jouni; Usui, A.; Sakaki, H.

In: Journal of Applied Physics, Vol. 76, No. 11, 1994, p. 7437-7445.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Analyses of localized confinement potential in semiconductor strained wires and dots buried in lattice-mismatched materials

AU - Nishi, K.

AU - Yamaguchi, A.

AU - Ahopelto, Jouni

AU - Usui, A.

AU - Sakaki, H.

PY - 1994

Y1 - 1994

N2 - Analytical and finite‐element‐method calculations have been conducted for obtaining strain distributions and consequent carrier confinement potential changes in semiconductor strained wires and dots made of lattice‐mismatched materials. The inhomogeneous strain distribution modifies the confinement potentials locally, which causes carrier wave function localization. First, to obtain a fundamental strain distribution and band‐structure change semiquantitatively, analytical calculations are performed in simple, symmetrical structures such as an InP cylinder and an InP ball buried in GaAs or InGaP matrices assuming isotropic valence bands and isotropic elastic characteristics. Here, strain is found to exist in the surrounding matrices as well as in the wires and dots. This effect is peculiar to the strained wire and dot because in pseudomorphic strained layers there is no strain in surrounding matrices. Thus, the band structures are found to be greatly modified in the surrounding matrix as well as in the wire or dot. Hole effective masses at the band edge are also calculated by diagonalizing a 4×4 orbital strain Hamiltonian. Furthermore, to calculate the effects in a realistic structure, finite‐element‐method calculations are performed for a triangle‐shaped InP wire along the 〈110〉 direction, including anisotropic elastic characteristics. Calculated nonuniform strain within the wire is found to modify the confinement potential, which localizes electrons near the base. Valence subbands are largely split near the vertices. From these results, the strained wires and dots are found to be applicable for quantum wires and dots, in which the quantum confinement effect will be enhanced by the modified confinement potential due to the inhomogeneous strain.

AB - Analytical and finite‐element‐method calculations have been conducted for obtaining strain distributions and consequent carrier confinement potential changes in semiconductor strained wires and dots made of lattice‐mismatched materials. The inhomogeneous strain distribution modifies the confinement potentials locally, which causes carrier wave function localization. First, to obtain a fundamental strain distribution and band‐structure change semiquantitatively, analytical calculations are performed in simple, symmetrical structures such as an InP cylinder and an InP ball buried in GaAs or InGaP matrices assuming isotropic valence bands and isotropic elastic characteristics. Here, strain is found to exist in the surrounding matrices as well as in the wires and dots. This effect is peculiar to the strained wire and dot because in pseudomorphic strained layers there is no strain in surrounding matrices. Thus, the band structures are found to be greatly modified in the surrounding matrix as well as in the wire or dot. Hole effective masses at the band edge are also calculated by diagonalizing a 4×4 orbital strain Hamiltonian. Furthermore, to calculate the effects in a realistic structure, finite‐element‐method calculations are performed for a triangle‐shaped InP wire along the 〈110〉 direction, including anisotropic elastic characteristics. Calculated nonuniform strain within the wire is found to modify the confinement potential, which localizes electrons near the base. Valence subbands are largely split near the vertices. From these results, the strained wires and dots are found to be applicable for quantum wires and dots, in which the quantum confinement effect will be enhanced by the modified confinement potential due to the inhomogeneous strain.

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