Strongly coupled modes in bi-waveguides based on graphene

Cesar E.P. Villegas; Marcos R.S. Tavares

doi:10.1016/j.ssc.2010.05.004

Strongly coupled modes in bi-waveguides based on graphene

Cesar E.P. Villegas, Marcos R.S. Tavares

Grupo de métodos computacionales aplicado a nanomateriales

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We theoretically study the confined (guided) subbands (modes) in strongly coupled double waveguides based on graphene. We find the spectra of the two-dimensional (2D) Dirac-like Hamiltonian with a quasi-mass parameter β, which is incorporated into the Hamiltonian in an ad hoc manner. Such a term can represent phenomenologically the spinorbit interaction strength in the graphene sample. We found strongly coupled modes as the wavevector ky increased. We show that different choices for the parameter β in both waveguides induce asymmetry effects on the guided modes, reflecting anomalous effects on their probability density functions. We also find the same spectra for a single waveguide of width 50 nm. We plot the guided modes up to the seventh order in the E-θ phase space. By showing them, we completely map out the values of the reflection angle θ for which the guidance takes place with the most probability.

Original language	English
Pages (from-to)	1350-1354
Number of pages	5
Journal	Solid State Communications
Volume	150
Issue number	29-30
DOIs	https://doi.org/10.1016/j.ssc.2010.05.004
State	Published - Aug 2010

Bibliographical note

Funding Information:
The authors would like to thank FAPESP and Universidade Federal do ABC, Brazil , for financial support.

Keywords

Confined states
Graphene
Waveguides

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10.1016/j.ssc.2010.05.004

Cite this

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title = "Strongly coupled modes in bi-waveguides based on graphene",

abstract = "We theoretically study the confined (guided) subbands (modes) in strongly coupled double waveguides based on graphene. We find the spectra of the two-dimensional (2D) Dirac-like Hamiltonian with a quasi-mass parameter β, which is incorporated into the Hamiltonian in an ad hoc manner. Such a term can represent phenomenologically the spinorbit interaction strength in the graphene sample. We found strongly coupled modes as the wavevector ky increased. We show that different choices for the parameter β in both waveguides induce asymmetry effects on the guided modes, reflecting anomalous effects on their probability density functions. We also find the same spectra for a single waveguide of width 50 nm. We plot the guided modes up to the seventh order in the E-θ phase space. By showing them, we completely map out the values of the reflection angle θ for which the guidance takes place with the most probability.",

keywords = "Confined states, Graphene, Waveguides",

author = "Villegas, {Cesar E.P.} and Tavares, {Marcos R.S.}",

note = "Funding Information: The authors would like to thank FAPESP and Universidade Federal do ABC, Brazil , for financial support.",

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T1 - Strongly coupled modes in bi-waveguides based on graphene

AU - Villegas, Cesar E.P.

AU - Tavares, Marcos R.S.

N1 - Funding Information: The authors would like to thank FAPESP and Universidade Federal do ABC, Brazil , for financial support.

PY - 2010/8

Y1 - 2010/8

N2 - We theoretically study the confined (guided) subbands (modes) in strongly coupled double waveguides based on graphene. We find the spectra of the two-dimensional (2D) Dirac-like Hamiltonian with a quasi-mass parameter β, which is incorporated into the Hamiltonian in an ad hoc manner. Such a term can represent phenomenologically the spinorbit interaction strength in the graphene sample. We found strongly coupled modes as the wavevector ky increased. We show that different choices for the parameter β in both waveguides induce asymmetry effects on the guided modes, reflecting anomalous effects on their probability density functions. We also find the same spectra for a single waveguide of width 50 nm. We plot the guided modes up to the seventh order in the E-θ phase space. By showing them, we completely map out the values of the reflection angle θ for which the guidance takes place with the most probability.

AB - We theoretically study the confined (guided) subbands (modes) in strongly coupled double waveguides based on graphene. We find the spectra of the two-dimensional (2D) Dirac-like Hamiltonian with a quasi-mass parameter β, which is incorporated into the Hamiltonian in an ad hoc manner. Such a term can represent phenomenologically the spinorbit interaction strength in the graphene sample. We found strongly coupled modes as the wavevector ky increased. We show that different choices for the parameter β in both waveguides induce asymmetry effects on the guided modes, reflecting anomalous effects on their probability density functions. We also find the same spectra for a single waveguide of width 50 nm. We plot the guided modes up to the seventh order in the E-θ phase space. By showing them, we completely map out the values of the reflection angle θ for which the guidance takes place with the most probability.

KW - Confined states

KW - Graphene

KW - Waveguides

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DO - 10.1016/j.ssc.2010.05.004

M3 - Artículo

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SN - 0038-1098

VL - 150

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EP - 1354

JO - Solid State Communications

JF - Solid State Communications

IS - 29-30

ER -

Strongly coupled modes in bi-waveguides based on graphene

Abstract

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Keywords

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