abstract

• In this article we report a novel characteristic in the dispersion relation for dielectric–graphene photonic crystal, resulting from the modulation of the chemical potential (μg,j) of the graphene sheets in the unit cell that form the entire optical structure. The photonic dispersion relation of the system is obtained employing the transfer matrix formalism taking into account the intra and interband contributions of the optical conductivity of graphene. The chemical potential of each graphene sheet is distributed with discrete values following envelope functions such as Gaussian, linear, Lorentzian and Pöschl–Teller. We found that this kind of dielectric–graphene photonic crystal shows the formation of spikes in the dispersion relation due to the discrete values of chemical potential in its unit cell. The spikes are located in the frequency positions which correspond to 2μg,j for each distribution and can be modulated by optical and geometric parameters. © 2021 Elsevier B.V.

authors

• Amador-Alvarado S.
• Ariza Flores Augusto David
• Madrigal-Melchor J.
• Pérez-Huerta J.S.
• Sustaita-Torres I.A.
• Sánchez-Arellano A.

publication date

• 2022-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 1577, 256243, 259278  Grant

published in

• Physica B: Condensed Matter  Journal

keywords

• Dispersion relation; Graphene; Graphene photonic crystal; Quasiregular unit cell Chemical potential; Crystal structure; Dispersions; Optical conductivity; Photonic crystals; Quantum theory; Transfer matrix method; Discrete values; Dispersion relations; Graphene photonic crystal; Graphene sheets; Matrix formalism; Optical structures; Photonic dispersion; Quasiregular unit cell; Transfer matrixes; Unit cells; Graphene

Digital Object Identifier (DOI)

• 10.1016/j.physb.2021.413460

PubMed ID

start page

end page

volume

• 625

issue