Kerr nonlinearity and plasmonic bistability in graphene nanoribbons

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Abstract

We theoretically examine the role of Kerr nonlinearities for graphene plasmonics in nanostructures, specifically in nanoribbons. The nonlinear Kerr interaction is included semiclassically in the intraband approximation. The resulting electromagnetic problem is solved numerically by self-consistent iteration with linear steps using a real-space discretization. We derive a simple approximation for the resonance shifts in general graphene nanostructures, and obtain excellent agreement with numerics for moderately high field strengths. Near plasmonic resonances the nonlinearities are strongly enhanced due to field enhancement, and the total nonlinearity is significantly affected by the field inhomogeneity of the plasmonic excitation. Finally, we discuss the emergence of a plasmonic bistability which exists for energies red-shifted relative to the linear resonance. Our results offer insights into the role of nonlinear interaction in nanostructured graphene and pave the way for experimental investigation.
Original languageEnglish
Article number121407(R)
JournalPhysical Review B
Volume92
Issue number12
Pages (from-to)5
Number of pages10
ISSN0163-1829
DOIs
Publication statusPublished - 2015

Cite this

@article{410f8a2615c44da1b979ad2def7254a0,
title = "Kerr nonlinearity and plasmonic bistability in graphene nanoribbons",
abstract = "We theoretically examine the role of Kerr nonlinearities for graphene plasmonics in nanostructures, specifically in nanoribbons. The nonlinear Kerr interaction is included semiclassically in the intraband approximation. The resulting electromagnetic problem is solved numerically by self-consistent iteration with linear steps using a real-space discretization. We derive a simple approximation for the resonance shifts in general graphene nanostructures, and obtain excellent agreement with numerics for moderately high field strengths. Near plasmonic resonances the nonlinearities are strongly enhanced due to field enhancement, and the total nonlinearity is significantly affected by the field inhomogeneity of the plasmonic excitation. Finally, we discuss the emergence of a plasmonic bistability which exists for energies red-shifted relative to the linear resonance. Our results offer insights into the role of nonlinear interaction in nanostructured graphene and pave the way for experimental investigation.",
author = "Thomas Christensen and Wei Yan and Antti-Pekka Jauho and Martijn Wubs and Mortensen, {N. Asger}",
year = "2015",
doi = "10.1103/physrevb.92.121407",
language = "English",
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journal = "Physical Review B (Condensed Matter and Materials Physics)",
issn = "1098-0121",
publisher = "American Physical Society",
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Kerr nonlinearity and plasmonic bistability in graphene nanoribbons. / Christensen, Thomas; Yan, Wei; Jauho, Antti-Pekka; Wubs, Martijn; Mortensen, N. Asger.

In: Physical Review B, Vol. 92, No. 12, 121407(R), 2015, p. 5.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Kerr nonlinearity and plasmonic bistability in graphene nanoribbons

AU - Christensen, Thomas

AU - Yan, Wei

AU - Jauho, Antti-Pekka

AU - Wubs, Martijn

AU - Mortensen, N. Asger

PY - 2015

Y1 - 2015

N2 - We theoretically examine the role of Kerr nonlinearities for graphene plasmonics in nanostructures, specifically in nanoribbons. The nonlinear Kerr interaction is included semiclassically in the intraband approximation. The resulting electromagnetic problem is solved numerically by self-consistent iteration with linear steps using a real-space discretization. We derive a simple approximation for the resonance shifts in general graphene nanostructures, and obtain excellent agreement with numerics for moderately high field strengths. Near plasmonic resonances the nonlinearities are strongly enhanced due to field enhancement, and the total nonlinearity is significantly affected by the field inhomogeneity of the plasmonic excitation. Finally, we discuss the emergence of a plasmonic bistability which exists for energies red-shifted relative to the linear resonance. Our results offer insights into the role of nonlinear interaction in nanostructured graphene and pave the way for experimental investigation.

AB - We theoretically examine the role of Kerr nonlinearities for graphene plasmonics in nanostructures, specifically in nanoribbons. The nonlinear Kerr interaction is included semiclassically in the intraband approximation. The resulting electromagnetic problem is solved numerically by self-consistent iteration with linear steps using a real-space discretization. We derive a simple approximation for the resonance shifts in general graphene nanostructures, and obtain excellent agreement with numerics for moderately high field strengths. Near plasmonic resonances the nonlinearities are strongly enhanced due to field enhancement, and the total nonlinearity is significantly affected by the field inhomogeneity of the plasmonic excitation. Finally, we discuss the emergence of a plasmonic bistability which exists for energies red-shifted relative to the linear resonance. Our results offer insights into the role of nonlinear interaction in nanostructured graphene and pave the way for experimental investigation.

U2 - 10.1103/physrevb.92.121407

DO - 10.1103/physrevb.92.121407

M3 - Journal article

VL - 92

SP - 5

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 1098-0121

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M1 - 121407(R)

ER -