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

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 SiO 2 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.
Authors:
 [1] ;  [1] ;  [1]
  1. Univ. of Wisconsin-Madison, Madison, WI (United States)
Publication Date:
Grant/Contract Number:
SC0008712
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Univ. of Wisconsin-Madison, Madison, WI (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Contributing Orgs:
University of Wisconsin-Madison
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY
OSTI Identifier:
1434260
Alternate Identifier(s):
OSTI ID: 1253024

Karimi, F., Davoody, A. H., and Knezevic, I.. Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism. United States: N. p., Web. doi:10.1103/PhysRevB.93.205421.
Karimi, F., Davoody, A. H., & Knezevic, I.. Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism. United States. doi:10.1103/PhysRevB.93.205421.
Karimi, F., Davoody, A. H., and Knezevic, I.. 2016. "Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism". United States. doi:10.1103/PhysRevB.93.205421. https://www.osti.gov/servlets/purl/1434260.
@article{osti_1434260,
title = {Dielectric function and plasmons in graphene: A self-consistent-field calculation within a Markovian master equation formalism},
author = {Karimi, F. and Davoody, A. H. and Knezevic, I.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.93.205421},
journal = {Physical Review B},
number = 20,
volume = 93,
place = {United States},
year = {2016},
month = {5}
}

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