Ab initio calculation of energy levels for phosphorus donors in silicon

Abstract The s manifold energy levels for phosphorus donors in silicon are important input parameters for the design and modeling of electronic devices on the nanoscale. In this paper we calculate these energy levels from first principles using density functional theory. The wavefunction of the dono...

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Auteurs principaux: J. S. Smith, A. Budi, M. C. Per, N. Vogt, D. W. Drumm, L. C. L. Hollenberg, J. H. Cole, S. P. Russo
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Langue:EN
Publié: Nature Portfolio 2017
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spelling oai:doaj.org-article:a86e543ab1a74d96ad4f8afe4cc46aab2021-12-02T16:06:45ZAb initio calculation of energy levels for phosphorus donors in silicon10.1038/s41598-017-06296-82045-2322https://doaj.org/article/a86e543ab1a74d96ad4f8afe4cc46aab2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06296-8https://doaj.org/toc/2045-2322Abstract The s manifold energy levels for phosphorus donors in silicon are important input parameters for the design and modeling of electronic devices on the nanoscale. In this paper we calculate these energy levels from first principles using density functional theory. The wavefunction of the donor electron’s ground state is found to have a form that is similar to an atomic s orbital, with an effective Bohr radius of 1.8 nm. The corresponding binding energy of this state is found to be 41 meV, which is in good agreement with the currently accepted value of 45.59 meV. We also calculate the energies of the excited 1s(T 2) and 1s(E) states, finding them to be 32 and 31 meV respectively.J. S. SmithA. BudiM. C. PerN. VogtD. W. DrummL. C. L. HollenbergJ. H. ColeS. P. RussoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
J. S. Smith
A. Budi
M. C. Per
N. Vogt
D. W. Drumm
L. C. L. Hollenberg
J. H. Cole
S. P. Russo
Ab initio calculation of energy levels for phosphorus donors in silicon
description Abstract The s manifold energy levels for phosphorus donors in silicon are important input parameters for the design and modeling of electronic devices on the nanoscale. In this paper we calculate these energy levels from first principles using density functional theory. The wavefunction of the donor electron’s ground state is found to have a form that is similar to an atomic s orbital, with an effective Bohr radius of 1.8 nm. The corresponding binding energy of this state is found to be 41 meV, which is in good agreement with the currently accepted value of 45.59 meV. We also calculate the energies of the excited 1s(T 2) and 1s(E) states, finding them to be 32 and 31 meV respectively.
format article
author J. S. Smith
A. Budi
M. C. Per
N. Vogt
D. W. Drumm
L. C. L. Hollenberg
J. H. Cole
S. P. Russo
author_facet J. S. Smith
A. Budi
M. C. Per
N. Vogt
D. W. Drumm
L. C. L. Hollenberg
J. H. Cole
S. P. Russo
author_sort J. S. Smith
title Ab initio calculation of energy levels for phosphorus donors in silicon
title_short Ab initio calculation of energy levels for phosphorus donors in silicon
title_full Ab initio calculation of energy levels for phosphorus donors in silicon
title_fullStr Ab initio calculation of energy levels for phosphorus donors in silicon
title_full_unstemmed Ab initio calculation of energy levels for phosphorus donors in silicon
title_sort ab initio calculation of energy levels for phosphorus donors in silicon
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/a86e543ab1a74d96ad4f8afe4cc46aab
work_keys_str_mv AT jssmith abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT abudi abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT mcper abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT nvogt abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT dwdrumm abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT lclhollenberg abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT jhcole abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
AT sprusso abinitiocalculationofenergylevelsforphosphorusdonorsinsilicon
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