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: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/72cc84758af6478b821690d27b1beaed |
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| Sumario: | 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. |
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