Phonon Polaritonics in Two-Dimensional Materials

Rivera, Nicholas; Christensen, Thomas; Narang, Prineha

doi:10.1021/acs.nanolett.9b00518

Cited by 62 publications

(75 citation statements)

References 47 publications

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“…Another major category of polaritons is phonon polaritons, which are collective oscillations induced by the coupling of photons with optical phonons in polar dielectric materials . A recent study reveals that phonon polaritons in 2D systems are simply the longitudinal optical phonon, due to the absence of splitting of longitudinal and transverse optical phonons at Γ point in 2D polar materials . Hexagonal boron nitride (hBN), as one representative polar material, possesses natural hyperbolic characteristics and provides an ideal platform to study phonon polaritons within its two Reststrahlen bands .…”

Section: Discussionmentioning

confidence: 99%

“…[185] A recent study reveals that phonon polaritons in 2D systems are simply the longitudinal optical phonon, due to the absence of splitting of longitudinal and transverse optical phonons at Γ point in 2D polar materials. [186] Hexagonal boron nitride (hBN), as one representative polar material, possesses natural hyperbolic characteristics and provides an ideal platform to study phonon polaritons within its two Reststrahlen bands. [185] The phonon polaritons show strong light confinement and low losses that can be even better than graphene plasmon polaritons.…”

Section: Discussionmentioning

confidence: 99%

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Polariton Photonics Using Structured Metals and 2D Materials

Cai

Wang

et al. 2019

Advanced Optical Materials

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Polaritons are quasiparticles originating from strong interactions between photons and elementary excitations that could enable high tunability, tight electromagnetic field confinement, and large density of photonic states, making it possible to achieve novel and otherwise inaccessible functionalities. For these reasons, polaritons spawn great interest in the fields of physics, materials science, and optics for both fundamental studies as well as potential applications (e.g., modulators, photodetectors, photoluminescence, etc.). In recent years, the explosive growth of research in graphene and other 2D van der Waals materials is witnessed because they provide a new platform that substantially complements conventional metals, dielectrics, and semiconductors to investigate different polariton modes. This review highlights the works published in recent years on the topic of polariton photonics based on structured metals, graphene, and transition‐metal dichalcogenides (TMDs). The exotic optical properties of the polaritons in metallic structures and 2D van der Waals materials offer bright prospects for the development of high‐performance photonic and optoelectronic devices.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Polariton Photonics Using Structured Metals and 2D Materials

Cai

Wang

et al. 2019

Advanced Optical Materials

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“…σ ω + + = (ε 0 is the vacuum electric permittivity) [28,29] that, in the nonretarded regime (q c  The strong confinement of polariton modes is attested by:…”

Section: Infrared Polaritons In 2d Materialsmentioning

confidence: 99%

“…ω and c are, respectively, the angular frequency and the speed of light in vacuum. The electromagnetic boundary conditions yield the relation

\frac{ε_{1}}{κ_{1}} + \frac{ε_{2}}{κ_{2}} + i \frac{σ}{ω ϵ_{0}} = 0

(ε 0 is the vacuum electric permittivity) that, in the nonretarded regime (

q ≫ \frac{\sqrt{ε_{1, 2}} ω}{c}

), leads to the SPP frequency‐momentum dispersion relation

q = i \frac{2 ω ε ϵ_{0}}{σ}

where

ε = \frac{1}{2} (ε_{1} + ε_{2})

is the average dielectric function.…”

Section: Introductionmentioning

confidence: 99%

Probing Polaritons in 2D Materials with Synchrotron Infrared Nanospectroscopy

Barcelos

Bechtel

Matos

et al. 2019

Advanced Optical Materials

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Polaritons, which are quasiparticles composed of a photon coupled to an electric or magnetic dipole, are a major focus in nanophotonic research of van der Waals (vdW) crystals and their derived 2D materials. For the variety of existing vdW materials, polaritons can be active in a broad range of the electromagnetic spectrum (meVs to eVs) and exhibit momenta much higher than the corresponding free‐space radiation. Hence, the use of high momentum broadband sources or probes is imperative to excite those quasiparticles and measure the frequency‐momentum dispersion relations, which provide insights into polariton dynamics. Synchrotron infrared nanospectroscopy (SINS) is a technique that combines the nanoscale spatial resolution of scattering‐type scanning near‐field optical microscopy with ultrabroadband synchrotron infrared radiation, making it highly suitable to probe and characterize a variety of vdW polaritons. Here, the advances enabled by SINS on the study of key photonic attributes of far‐ and mid‐infrared plasmon‐ and phonon‐polaritons in vdW and 2D crystals are reviewed. In that context the SINS technique is comprehensively described and it is demonstrated how fundamental polaritonic properties are retrieved for a range of atomically thin systems including hBN, MoS2, graphene and 2D heterostructures.

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“…In physics of materials, two‐dimensional systems have been used to gain insight into the properties of semiconductors (see, eg, refs. ), and they start to play a fundamental role in bringing strong and new forms of control to the atomic‐scale limit over the dynamics of matter in the extreme confinement of electromagnetic energy by phonon polaritonics . Moreover, the properties of the real fluids can be studied by means of crystalline fluids (ie, with a symmetry) with nonstandard dimensions (see, eg, ref.…”

Section: Introductionmentioning

confidence: 99%

Two‐dimensional confined hydrogen: An entropy and complexity approach

Estañón

Aquino

Puertas‐Centeno

et al. 2020

Int J of Quantum Chemistry

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The position and momentum spreading of the electron distribution of the two-dimensional confined hydrogenic atom, which is a basic prototype of the general multidimensional confined quantum systems, is numerically studied in terms of the confinement radius for the 1s, 2s, 2p, and 3d quantum states by means of the main entropy and complexity information-theoretical measures. First, the Shannon entropy and the Fisher information, as well as the associated uncertainty relations, are computed and discussed. Then, the Fisher-Shannon, lopezruiz-mancini-alvet, and LMC-Rényi complexity measures are examined and mutually compared. We have found that these entropy and complexity quantities reflect the rich properties of the electron confinement extent in the two conjugated spaces. K E Y W O R D SFisher information of the two-dimensional confined hydrogen atom, Fisher-Shannon complexity measure of the two-dimensional confined hydrogen atom, LMC-Rényi complexity measure of the two-dimensional confined hydrogen atom, Shannon entropy of the two-dimensional confined hydrogen atom, two-dimensional confined hydrogen atom | INTRODUCTIONThe fundamental and practical relevance of the spherically confined quantum systems has been manifested from the early days of quantum physics [1,2] up until now. [3][4][5][6][7] They have been used as prototypes to explain numerous phenomena and systems not only in the three-dimensional world but also for nonrelativistic and relativistic D-dimensional (D ≥ 2) chemistry and physics. [8][9][10][11][12][13][14] For example, pioneered by Gerhard Ertl, the 2007 Nobel Laureate in Chemistry, and his collaborators, surface chemistry has been extensively studied and has become a key branch in chemistry. [11][12][13] In physics of materials, two-dimensional systems have been used to gain insight into the properties of semiconductors (see, eg, refs. [15, 16]), and they start to play a fundamental role in bringing strong and new forms of control to the atomic-scale limit over the dynamics of matter in the extreme confinement of electromagnetic energy by phonon polaritonics. [10] Moreover, the properties of the real fluids can be studied by means of crystalline fluids (ie, with a symmetry) with nonstandard dimensions (see, eg, ref. [17]).The idea of two-and multidimensional spherical confinement of atoms has been used not only to simulate the effect of high pressure on the static dipole polarizability in hydrogen [18] but also to model a great deal of nanotechnological objects such as quantum dots; quantum wells and quantum wires; [19,20] atoms and molecules embedded in nanocavities, for example, in fullerenes, zeolites cages, and helium droplets; [4,6,7,[21][22][23] dilute bosonic and fermionic systems in magnetic traps of extremely low temperatures; [24][25][26] and a variety of quantum-information elements. [27,28] This has provoked a fast development of a density functional theory of independent particles moving in multidimensional central potentials with various analytical forms (see, eg, refs. [5-7, 29-...

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Phonon Polaritonics in Two-Dimensional Materials

Cited by 62 publications

References 47 publications

Polariton Photonics Using Structured Metals and 2D Materials

Polariton Photonics Using Structured Metals and 2D Materials

Probing Polaritons in 2D Materials with Synchrotron Infrared Nanospectroscopy

Two‐dimensional confined hydrogen: An entropy and complexity approach

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