The impacts of the quantum-dot confining potential on the spin-orbit effect
Abstract For a nanowire quantum dot with the confining potential modeled by both the infinite and the finite square wells, we obtain exactly the energy spectrum and the wave functions in the strong spin-orbit coupling regime. We find that regardless of how small the well height is, there are at leas...
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Nature Portfolio
2018
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oai:doaj.org-article:d00a04bb995c4865905555834e18a39d2021-12-02T11:41:15ZThe impacts of the quantum-dot confining potential on the spin-orbit effect10.1038/s41598-018-25692-22045-2322https://doaj.org/article/d00a04bb995c4865905555834e18a39d2018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25692-2https://doaj.org/toc/2045-2322Abstract For a nanowire quantum dot with the confining potential modeled by both the infinite and the finite square wells, we obtain exactly the energy spectrum and the wave functions in the strong spin-orbit coupling regime. We find that regardless of how small the well height is, there are at least two bound states in the finite square well: one has the σ x $${\mathscr{P}}$$ P = −1 symmetry and the other has the σ x $${\mathscr{P}}$$ P = 1 symmetry. When the well height is slowly tuned from large to small, the position of the maximal probability density of the first excited state moves from the center to x ≠ 0, while the position of the maximal probability density of the ground state is always at the center. A strong enhancement of the spin-orbit effect is demonstrated by tuning the well height. In particular, there exists a critical height $${V}_{0}^{c}$$ V0c , at which the spin-orbit effect is enhanced to maximal.Rui LiZhi-Hai LiuYidong WuC. S. LiuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-11 (2018) |
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Medicine R Science Q Rui Li Zhi-Hai Liu Yidong Wu C. S. Liu The impacts of the quantum-dot confining potential on the spin-orbit effect |
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Abstract For a nanowire quantum dot with the confining potential modeled by both the infinite and the finite square wells, we obtain exactly the energy spectrum and the wave functions in the strong spin-orbit coupling regime. We find that regardless of how small the well height is, there are at least two bound states in the finite square well: one has the σ x $${\mathscr{P}}$$ P = −1 symmetry and the other has the σ x $${\mathscr{P}}$$ P = 1 symmetry. When the well height is slowly tuned from large to small, the position of the maximal probability density of the first excited state moves from the center to x ≠ 0, while the position of the maximal probability density of the ground state is always at the center. A strong enhancement of the spin-orbit effect is demonstrated by tuning the well height. In particular, there exists a critical height $${V}_{0}^{c}$$ V0c , at which the spin-orbit effect is enhanced to maximal. |
format |
article |
author |
Rui Li Zhi-Hai Liu Yidong Wu C. S. Liu |
author_facet |
Rui Li Zhi-Hai Liu Yidong Wu C. S. Liu |
author_sort |
Rui Li |
title |
The impacts of the quantum-dot confining potential on the spin-orbit effect |
title_short |
The impacts of the quantum-dot confining potential on the spin-orbit effect |
title_full |
The impacts of the quantum-dot confining potential on the spin-orbit effect |
title_fullStr |
The impacts of the quantum-dot confining potential on the spin-orbit effect |
title_full_unstemmed |
The impacts of the quantum-dot confining potential on the spin-orbit effect |
title_sort |
impacts of the quantum-dot confining potential on the spin-orbit effect |
publisher |
Nature Portfolio |
publishDate |
2018 |
url |
https://doaj.org/article/d00a04bb995c4865905555834e18a39d |
work_keys_str_mv |
AT ruili theimpactsofthequantumdotconfiningpotentialonthespinorbiteffect AT zhihailiu theimpactsofthequantumdotconfiningpotentialonthespinorbiteffect AT yidongwu theimpactsofthequantumdotconfiningpotentialonthespinorbiteffect AT csliu theimpactsofthequantumdotconfiningpotentialonthespinorbiteffect AT ruili impactsofthequantumdotconfiningpotentialonthespinorbiteffect AT zhihailiu impactsofthequantumdotconfiningpotentialonthespinorbiteffect AT yidongwu impactsofthequantumdotconfiningpotentialonthespinorbiteffect AT csliu impactsofthequantumdotconfiningpotentialonthespinorbiteffect |
_version_ |
1718395427704799232 |