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      Universal slow plasmons and giant field enhancement in atomically thin quasi-two-dimensional metals

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          Abstract

          Plasmons depend strongly on dimensionality: while plasmons in three-dimensional systems start with finite energy at wavevector q = 0, plasmons in traditional two-dimensional (2D) electron gas disperse as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega _p \sim \sqrt q$$\end{document} . However, besides graphene, plasmons in real, atomically thin quasi-2D materials were heretofore not well understood. Here we show that the plasmons in real quasi-2D metals are qualitatively different, being virtually dispersionless for wavevectors of typical experimental interest. This stems from a broken continuous translational symmetry which leads to interband screening; so, dispersionless plasmons are a universal intrinsic phenomenon in quasi-2D metals. Moreover, our ab initio calculations reveal that plasmons of monolayer metallic transition metal dichalcogenides are tunable, long lived, able to sustain field intensity enhancement exceeding 10 7, and localizable in real space (within ~20 nm) with little spreading over practical measurement time. This opens the possibility of tracking plasmon wave packets in real time for novel imaging techniques in atomically thin materials.

          Abstract

          Plasmons depend strongly on dimensionality. Here the authors show that plasmons in atomically thin metals are qualitatively different from those in a 2D electron gas or metal slab: they are dispersionless at large wavevectors and, in systems such as monolayer TaS 2, long-lived enough to be observed experimentally as localized plasmon wave packets.

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          Graphene plasmonics for tunable terahertz metamaterials.

          Plasmons describe collective oscillations of electrons. They have a fundamental role in the dynamic responses of electron systems and form the basis of research into optical metamaterials. Plasmons of two-dimensional massless electrons, as present in graphene, show unusual behaviour that enables new tunable plasmonic metamaterials and, potentially, optoelectronic applications in the terahertz frequency range. Here we explore plasmon excitations in engineered graphene micro-ribbon arrays. We demonstrate that graphene plasmon resonances can be tuned over a broad terahertz frequency range by changing micro-ribbon width and in situ electrostatic doping. The ribbon width and carrier doping dependences of graphene plasmon frequency demonstrate power-law behaviour characteristic of two-dimensional massless Dirac electrons. The plasmon resonances have remarkably large oscillator strengths, resulting in prominent room-temperature optical absorption peaks. In comparison, plasmon absorption in a conventional two-dimensional electron gas was observed only at 4.2 K (refs 13, 14). The results represent a first look at light-plasmon coupling in graphene and point to potential graphene-based terahertz metamaterials.
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            Plasma Losses by Fast Electrons in Thin Films

            R. Ritchie (1957)
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              Dielectric function, screening, and plasmons in two-dimensional graphene

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                Author and article information

                Contributors
                angel.rubio@mpsd.mpg.de
                sglouie@berkeley.edu
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                21 February 2020
                21 February 2020
                2020
                : 11
                : 1013
                Affiliations
                [1 ]ISNI 0000 0001 2181 7878, GRID grid.47840.3f, Department of Physics, , University of California at Berkeley, ; Berkeley, CA 94720 USA
                [2 ]ISNI 0000 0001 2231 4551, GRID grid.184769.5, Materials Sciences Division, , Lawrence Berkeley National Laboratory, ; Berkeley, CA 94720 USA
                [3 ]ISNI 0000 0004 1796 3508, GRID grid.469852.4, Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science, ; Luruper Chaussee 149, 22761 Hamburg, Germany
                [4 ]Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010 USA
                [5 ]ISNI 0000000419368956, GRID grid.168010.e, Present Address: Department of Materials Science and Engineering, , Stanford University, ; Stanford, CA 94305 USA
                Author information
                http://orcid.org/0000-0001-6712-7151
                http://orcid.org/0000-0002-9595-2404
                http://orcid.org/0000-0003-2060-3151
                http://orcid.org/0000-0003-0622-0170
                Article
                14826
                10.1038/s41467-020-14826-8
                7035343
                32081895
                b2700e87-8587-4cf7-a94a-9abe8cfd002e
                © The Author(s) 2020

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 4 July 2019
                : 5 February 2020
                Funding
                Funded by: FundRef https://doi.org/10.13039/100006151, DOE | SC | Basic Energy Sciences (BES);
                Award ID: DE-AC02-05CH11231
                Award ID: DE-AC02-05CH11231
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100010663, EC | EU Framework Programme for Research and Innovation H2020 | H2020 Priority Excellent Science | H2020 European Research Council (H2020 Excellent Science - European Research Council);
                Award ID: ERC-2015-AdG-694097
                Award ID: ERC-2015-AdG-694097
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100000001, National Science Foundation (NSF);
                Award ID: ACI-1053575
                Award Recipient :
                Categories
                Article
                Custom metadata
                © The Author(s) 2020

                Uncategorized
                two-dimensional materials,electronic properties and materials
                Uncategorized
                two-dimensional materials, electronic properties and materials

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