Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism

Karimi, F.; Davoody, A. H.; Knezevic, I.

doi:10.1103/PhysRevB.93.205421

Title: Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism

Journal Article · Thu May 12 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.93.205421· OSTI ID:1434260

Karimi, F. ^[1]; Davoody, A. H. ^[1]; Knezevic, I. ^[1]

Univ. of Wisconsin-Madison, Madison, WI (United States)

We introduce a method for calculating the dielectric function of nanostructures with an arbitrary band dispersion and Bloch wave functions. The linear response of a dissipative electronic system to an external electromagnetic field is calculated by a self-consistent-field approach within a Markovian master equation formalism (SCF-MMEF) coupled with full-wave electromagnetic equations. The SCF-MMEF accurately accounts for several concurrent scattering mechanisms. The method captures interband electron-hole-pair generation, as well as the interband and intraband electron scattering with phonons and impurities. We employ the SCF-MMEF to calculate the dielectric function, complex conductivity, and loss function for supported graphene. From the loss-function maximum, we obtain plasmon dispersion and propagation length for different substrate types [nonpolar diamondlike carbon (DLC) and polar SiO₂ and hBN], impurity densities, carrier densities, and temperatures. Plasmons on the two polar substrates are suppressed below the highest surface phonon energy, while the spectrum is broad on the nonpolar DLC. Plasmon propagation lengths are comparable on polar and nonpolar substrates and are on the order of tens of nanometers, considerably shorter than previously reported. As a result, they improve with fewer impurities, at lower temperatures, and at higher carrier densities.

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Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Contributing Organization:: University of Wisconsin-Madison

Grant/Contract Number:: SC0008712

OSTI ID:: 1434260

Alternate ID(s):: OSTI ID: 1253024

Journal Information:: Physical Review B, Vol. 93, Issue 20; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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