Electrodynamics of two-dimensional materials: Role of anisotropy

Majérus, Bruno; Dremetsika, Evdokia; Lobet, Michaël; Henrard, Luc; Kockaert, Pascal

doi:10.1103/physrevb.98.125419

Cited by 23 publications

(21 citation statements)

References 33 publications

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“…[3] Interestingly, not only TMDs are optically dense, but also exhibit a strong anisotropy in their permittivity tensor. [25][26][27] This feature is a straightforward consequence of the low dimensionality, as pointed out in a recent theoretical work, [21] showing how the 2D conductivity can be formulated in terms of an equivalent 3D permittivity with two degenerate in-plane components, strongly differing from the third, out-of-plane, one. As an example, for MoS 2 , the in-plane permittivity (black curves in Figure 1a,b) is dominated by four resonant peaks in the visible spectrum (attributed to the socalled A, B, C, and D excitonic resonances), which are almost absent in the out-of-plane permittivity component (blue curves in Figure 1a,b), also, being much weaker.…”

Section: Metalayer Modeling Of Optical Dichroismmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

“…Our idea stems from the exploitation of a peculiar property of 2D materials, that is, their intrinsic optical anisotropy, that has been so far largely unexplored, with the exception of a few recent papers. [21,22] The control of optical dichroism in flat optics configuration of nanomaterials is of key relevance for the development of next-generation photonic devices, from polarization sensitive metamirrors, [23] to ultrafast all-optical modulators. [24] We apply our results to the case study of a few layer polycrystalline MoS 2 film, but, in principle, the approach can be extended to a variety of 2D materials and readily implemented over a large area (cm 2 scale) by using cost-effective A cost effective method to tailor the optical response of large-area nanosheets of 2D materials is described.…”

Section: Introductionmentioning

confidence: 99%

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Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets

Mennucci

Mazzanti

Martella³

et al. 2020

Advanced Optical Materials

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A cost effective method to tailor the optical response of large‐area nanosheets of 2D materials is described. A reduced effective metalayer model is introduced to capture the key‐role of the out‐of‐plane component of the dielectric tensor. Such a model indicates that the optical extinction of 2D materials can be strongly altered by controlling the geometry at the local (i.e., subwavelength) scale. In particular, a giant linear optical dichroism at normal incidence is demonstrated, with major features around the excitonic peaks, that can be tailored by acting on the average curvature and slope of the nanosheets. The approach is experimentally demonstrated in few‐layer MoS2 grown by chemical vapor deposition on cm‐scale anisotropic nanopatterned substrates prepared by a self‐assembling technique, based on defocused ion beam sputtering. Major variations in the photoluminescence spectrum as a function of the average curvature and slope are also revealed. A full‐vectorial numerical study beyond the effective metalayer model and comprising strain effects induced by the geometry turns out to be consistent with such a complex scenario. The results demonstrate that the extrinsic geometrical engineering definitely opens viable way to tailor the optical properties and modulate bandgap of low dimensional materials.

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Section: Metalayer Modeling Of Optical Dichroismmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets

Mennucci

Mazzanti

Martella³

et al. 2020

Advanced Optical Materials

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“…According to this model, the effects of the out-plane anisotropy, recently investigated by Majérus et.al. [35], are disregarded. It is worth mentioning that the optical in-plain anisotropy of the 2D material can be an intrinsic property, as occurred for example in phosphorene [36] and borophene [37], or induced by strain [38].…”

Section: Generalized Fresnel Coefficientsmentioning

confidence: 99%

Unveiling optical in-plane anisotropy of 2D materials from oblique incidence of light

Oliva-Leyva¹,

Cruz

2019

J. Phys.: Condens. Matter

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In this work, we present a theoretical study of the dispersion of linearly polarized light between two dielectric media separated by an anisotropic two-dimensional (2D) material under oblique incidence. Assuming that the 2D material is a conducting sheet of negligible thickness, generalized Fresnel coefficients are derived as a function of usual quantities (e.g. refraction indexes and scattering angles) and the anisotropic in-plane optical conductivity of the interstitial 2D material. In particular, we analyzed the modifications due to the 2D material of two classical optical phenomena: the Brewster effect and the total internal reflection. As an application, our general findings are particularized for uniaxially strained graphene. Effects of a uniaxial strain on the Brewster angle and the reflectance (under total internal reflection) are evaluated as a function of the magnitude and direction of strain.

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“…In spite of the fact that experimental assessment of the out-of-plane anisotropy for the three-dimensional crystal is manageable, this is not the case for isolated monolayers 1 . As a result, fifteen years after the exfoliation of the first atomically thin crystal, the exact description of its optical response remains an active and debated area of research [2][3][4][5][6][7] .…”

mentioning

confidence: 99%

Optical detection of the susceptibility tensor in two-dimensional crystals

Ferraro

Zaltron

et al. 2021

Preprint

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The out-of-plane optical constants of two-dimensional materials have proven to be experimentally elusive. Owing to the reduced dimensionality of a monolayer, optical measurements have limited sensitivity to these properties, which are hidden by the optical response of the substrate. Therefore, there remains an absence of scientific consensus on how to correctly model these materials. Theoretical descriptions span from isotropic three-dimensional slabs to two-dimensional surface currents with a null out-of-plane surface susceptibility. Here we perform a smoking gun experiment on the optical response of a single-layer two-dimensional crystal that addresses these problems. We successfully remove the substrate contribution to the optical response of these materials by a step deposition of a monolayer crystal inside a thick polydimethylsiloxane prism. This allows for a reliable determination of both the in-plane and the out-of-plane components of the monolayer surface susceptibility tensor. Our results prescribe one clear theoretical model for these types of material. This work creates opportunities for a precise characterization of the optical properties of two-dimensional crystals in all the optical domains such as the nonlinear response, surface wave phenomena or magneto-optical Kerr effect. Our assay will be relevant to future progresses in photonics and optoelectronics with 2D materials.

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Electrodynamics of two-dimensional materials: Role of anisotropy

Cited by 23 publications

References 33 publications

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets

Unveiling optical in-plane anisotropy of 2D materials from oblique incidence of light

Optical detection of the susceptibility tensor in two-dimensional crystals

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Electrodynamics of two-dimensional materials: Role of anisotropy

Cited by 23 publications

References 33 publications

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS2 Nanosheets

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS2 Nanosheets

Unveiling optical in-plane anisotropy of 2D materials from oblique incidence of light

Optical detection of the susceptibility tensor in two-dimensional crystals

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Product

Resources

About

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets

Geometrical Engineering of Giant Optical Dichroism in Rippled MoS₂ Nanosheets