Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation

We study the influence of impurity scattering on transverse magnetic (TM) and transverse electric (TE) surface plasmons (SPs) in graphene using the Lindhard approximation. We show how the behaviour and domains of TM SPs are affected by the impurity strength <inline-formula><math xmlns="...

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Autores principales:	Mousa Bahrami, Panagiotis Vasilopoulos
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	surface plasmons scattering quantum well wire and dot devices optical properties Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/72cc84758af6478b821690d27b1beaed
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spelling	oai:doaj.org-article:72cc84758af6478b821690d27b1beaed2021-11-11T15:12:47ZInfluence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation10.3390/app1121101472076-3417https://doaj.org/article/72cc84758af6478b821690d27b1beaed2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10147https://doaj.org/toc/2076-3417We study the influence of impurity scattering on transverse magnetic (TM) and transverse electric (TE) surface plasmons (SPs) in graphene using the Lindhard approximation. We show how the behaviour and domains of TM SPs are affected by the impurity strength <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> and determine the critical value <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mi>c</mi></msub></semantics></math></inline-formula> below which no SPs exist. The quality factor of TM SPs, for single-band and two-band transitions, is proportional to the square of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><msub><mi>λ</mi><mrow><mi>S</mi><mi>P</mi></mrow></msub><mo>/</mo><mi>γ</mi></mrow></semantics></math></inline-formula>, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> being the fine-structure constant and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>S</mi><mi>P</mi></mrow></msub></semantics></math></inline-formula> being the plasmon wavelength. In addition, we show that impurity scattering suppresses TE SPs.Mousa BahramiPanagiotis VasilopoulosMDPI AGarticlesurface plasmonsscatteringquantum wellwire and dot devicesoptical propertiesTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10147, p 10147 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	surface plasmons scattering quantum well wire and dot devices optical properties Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	surface plasmons scattering quantum well wire and dot devices optical properties Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Mousa Bahrami Panagiotis Vasilopoulos Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
description	We study the influence of impurity scattering on transverse magnetic (TM) and transverse electric (TE) surface plasmons (SPs) in graphene using the Lindhard approximation. We show how the behaviour and domains of TM SPs are affected by the impurity strength <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> and determine the critical value <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mi>c</mi></msub></semantics></math></inline-formula> below which no SPs exist. The quality factor of TM SPs, for single-band and two-band transitions, is proportional to the square of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><msub><mi>λ</mi><mrow><mi>S</mi><mi>P</mi></mrow></msub><mo>/</mo><mi>γ</mi></mrow></semantics></math></inline-formula>, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> being the fine-structure constant and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mrow><mi>S</mi><mi>P</mi></mrow></msub></semantics></math></inline-formula> being the plasmon wavelength. In addition, we show that impurity scattering suppresses TE SPs.
format	article
author	Mousa Bahrami Panagiotis Vasilopoulos
author_facet	Mousa Bahrami Panagiotis Vasilopoulos
author_sort	Mousa Bahrami
title	Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
title_short	Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
title_full	Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
title_fullStr	Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
title_full_unstemmed	Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation
title_sort	influence of impurity scattering on surface plasmons in graphene in the lindhard approximation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/72cc84758af6478b821690d27b1beaed
work_keys_str_mv	AT mousabahrami influenceofimpurityscatteringonsurfaceplasmonsingrapheneinthelindhardapproximation AT panagiotisvasilopoulos influenceofimpurityscatteringonsurfaceplasmonsingrapheneinthelindhardapproximation
_version_	1718436659765182464

Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation

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