# Effects of substrate and graphene surface roughness on graphene sheet plasmons

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2014)

- Volume: 3, Issue: 1
- ISSN: 2299-3290

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topKeenan Lyon, and Z.L. Miškovic. "Effects of substrate and graphene surface roughness on graphene sheet plasmons." Nanoscale Systems: Mathematical Modeling, Theory and Applications 3.1 (2014): null. <http://eudml.org/doc/269738>.

@article{KeenanLyon2014,

abstract = {We study the effects of roughness in a graphene layer that lies on a substrate with rough surface on the dynamic response of such a structure. Using an analytical expression for the dielectric function of flat graphene in the optical limit allows us to tackle the effects of roughness on the sheet plasmon in graphene. We first formulate a stochastic eigenvalue problem for the plasmon dispersion in terms of the roughness parameters that include both the auto– and the cross–correlation functions of graphene and the substrate surfaces. Using the projection operator methodwe reduce this problem to an integral equation for an effective dielectric function of graphene,which implies the existence of plasmon damping due to the roughness effects.},

author = {Keenan Lyon, Z.L. Miškovic},

journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},

keywords = {graphene; plasmon; surface roughness},

language = {eng},

number = {1},

pages = {null},

title = {Effects of substrate and graphene surface roughness on graphene sheet plasmons},

url = {http://eudml.org/doc/269738},

volume = {3},

year = {2014},

}

TY - JOUR

AU - Keenan Lyon

AU - Z.L. Miškovic

TI - Effects of substrate and graphene surface roughness on graphene sheet plasmons

JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications

PY - 2014

VL - 3

IS - 1

SP - null

AB - We study the effects of roughness in a graphene layer that lies on a substrate with rough surface on the dynamic response of such a structure. Using an analytical expression for the dielectric function of flat graphene in the optical limit allows us to tackle the effects of roughness on the sheet plasmon in graphene. We first formulate a stochastic eigenvalue problem for the plasmon dispersion in terms of the roughness parameters that include both the auto– and the cross–correlation functions of graphene and the substrate surfaces. Using the projection operator methodwe reduce this problem to an integral equation for an effective dielectric function of graphene,which implies the existence of plasmon damping due to the roughness effects.

LA - eng

KW - graphene; plasmon; surface roughness

UR - http://eudml.org/doc/269738

ER -

## References

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