Publisher Correction: Second-order spectral lineshapes from charged interfaces

The original version of this Article contained an error in Equation 3b. A ‘ + ’ sign incorrectly appeared instead of a ‘–’ sign in the denominator of the right-hand side of the equation and incorrectly read: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{...

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Autores principales:	Paul E. Ohno, Hong-fei Wang, Franz M. Geiger
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Science Q
Acceso en línea:	https://doaj.org/article/e4aef5757ff34cbebc718b954f626a22
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id	oai:doaj.org-article:e4aef5757ff34cbebc718b954f626a22
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spelling	oai:doaj.org-article:e4aef5757ff34cbebc718b954f626a222021-12-02T17:33:19ZPublisher Correction: Second-order spectral lineshapes from charged interfaces10.1038/s41467-017-02179-82041-1723https://doaj.org/article/e4aef5757ff34cbebc718b954f626a222018-01-01T00:00:00Zhttps://doi.org/10.1038/s41467-017-02179-8https://doaj.org/toc/2041-1723The original version of this Article contained an error in Equation 3b. A ‘ + ’ sign incorrectly appeared instead of a ‘–’ sign in the denominator of the right-hand side of the equation and incorrectly read: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa + i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ + i Δ k z χ 3 The correct form of the equation is as follows: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa - i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ - i Δ k z χ 3 This has now been corrected in both the PDF and HTML versions of the Article.Paul E. OhnoHong-fei WangFranz M. GeigerNature PortfolioarticleScienceQENNature Communications, Vol 9, Iss 1, Pp 1-1 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q Paul E. Ohno Hong-fei Wang Franz M. Geiger Publisher Correction: Second-order spectral lineshapes from charged interfaces
description	The original version of this Article contained an error in Equation 3b. A ‘ + ’ sign incorrectly appeared instead of a ‘–’ sign in the denominator of the right-hand side of the equation and incorrectly read: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa + i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ + i Δ k z χ 3 The correct form of the equation is as follows: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa - i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ - i Δ k z χ 3 This has now been corrected in both the PDF and HTML versions of the Article.
format	article
author	Paul E. Ohno Hong-fei Wang Franz M. Geiger
author_facet	Paul E. Ohno Hong-fei Wang Franz M. Geiger
author_sort	Paul E. Ohno
title	Publisher Correction: Second-order spectral lineshapes from charged interfaces
title_short	Publisher Correction: Second-order spectral lineshapes from charged interfaces
title_full	Publisher Correction: Second-order spectral lineshapes from charged interfaces
title_fullStr	Publisher Correction: Second-order spectral lineshapes from charged interfaces
title_full_unstemmed	Publisher Correction: Second-order spectral lineshapes from charged interfaces
title_sort	publisher correction: second-order spectral lineshapes from charged interfaces
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/e4aef5757ff34cbebc718b954f626a22
work_keys_str_mv	AT pauleohno publishercorrectionsecondorderspectrallineshapesfromchargedinterfaces AT hongfeiwang publishercorrectionsecondorderspectrallineshapesfromchargedinterfaces AT franzmgeiger publishercorrectionsecondorderspectrallineshapesfromchargedinterfaces
_version_	1718380033229193216

Publisher Correction: Second-order spectral lineshapes from charged interfaces

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