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We investigate a family of quasiperiodic continuous elastic beams, the topological properties of their vibrational spectra, and their relation to the existence of localized modes. We specifically consider beams featuring arrays of ground…

Mesoscale and Nanoscale Physics · Physics 2019-06-04 Raj Kumar Pal , Matheus I. N. Rosa , Massimo Ruzzene

Although topological band theory has been used to discover and classify a wide array of novel topological phases in insulating and semi-metal systems, it is not well-suited to identifying topological phenomena in metallic or gapless…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Alexander Cerjan , Terry A. Loring

Plasmon modes of a two-dimensional lattice of long conducting circular wires are investigated by using an embedding technique to solve Maxwell's equations rigorously. The frequency-dependent density of states is calculated for various…

Materials Science · Physics 2007-05-23 J. M. Pitarke , J. E. Inglesfield , N. Giannakis

We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system that tells how the entropy of the ensemble of electrons…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Y. M. Galperin , D. Grassano , V. P. Gusynin , A. V. Kavokin , O. Pulci , S. G. Sharapov , V. O. Shubnyi , A. A. Varlamov

We propose a topological plasmonic crystal structure composed of an array of parallel nanowires with unequal spacing. In the paraxial approximation, the Helmholtz equation that describes the propagation of light along the nanowires maps…

Mesoscale and Nanoscale Physics · Physics 2016-10-28 Chenxu Liu , M. V. Gurudev Dutt , David Pekker

In many realistic topological materials, more than one kind of fermions contribute to the electronic bands crossing the Fermi level, leading to various novel phenomena. Here, using momentum-resolved inelastic electron scattering, we…

Materials Science · Physics 2020-10-28 Xun Jia , Maoyuan Wang , Dayu Yan , Siwei Xue , Shuyuan Zhang , Jianhui Zhou , Youguo Shi , Xuetao Zhu , Yugui Yao , Jiandong Guo

The band-unfolding method is widely used to calculate the effective band structures of a disordered system from its supercell model. The unfolded band structures show the crystallographic symmetry of the underlying structure, where the…

Materials Science · Physics 2017-01-18 Yuji Ikeda , Abel Carreras , Atsuto Seko , Atsushi Togo , Isao Tanaka

The plasmon excitations in proposed single- and double-component helical liquid (HL) models are investigated within the random-phase approximation, by calculating the density-density, spin-density and spin-spin waves. The effect due to…

Materials Science · Physics 2015-06-03 O. Roslyak , Godfrey Gumbs , D. H. Huang

Plasmon resonance, with strong coupling of light to electrons at a metal-dielectric interface, allows light confinement and control at subwavelength scale. It's fundamentally limited by the inherent mobility of the electrons, leading to the…

Optics · Physics 2019-02-20 Evgenii E. Narimanov

We numerically investigate and experimentally demonstrate an in-situ topological band transition in a highly tunable mechanical system made of cylindrical granular particles. This system allows us to tune its inter-particle stiffness in a…

Pattern Formation and Solitons · Physics 2017-07-19 Rajesh Chaunsali , Aman Thakkar , Eunho Kim , Panayotis G. Kevrekidis , Jinkyu Yang

The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

We analyze collective excitations in models of two-dimensional topological insulators using the random phase approximation. In a two-dimensional extension of the Su-Schrieffer-Heeger model, edge plasmonic excitations with induced…

Mesoscale and Nanoscale Physics · Physics 2021-03-11 Henning Schlömer , Zhihao Jiang , Stephan Haas

Domain walls separating regions of AB and BA interlayer stacking in bilayer graphene have attracted attention as novel examples of structural solitons, topological electronic boundaries, and nanoscale plasmonic scatterers. We show that…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Bor-Yuan Jiang , Guang-Xin Ni , Zachariah Addison , Jing K. Shi , Xiaomeng Liu , Frank Zhao , P. Kim , E. J. Mele , D. N. Basov , M. M. Fogler

The plasmon is a well established collective excitation of metals in the visible and near UV but at much lower frequencies dissipation destroys all trace of the plasmon and typical Drude behaviour sets in. We propose a mechanism for…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 JB Pendry , AJ Holden , WJ Stewart , I Youngs

Topological phase transitions in condensed matter systems have shown extremely rich physics, unveiling such exotic states of matter as topological insulators, superconductors and superfluids. Photonic topological systems open a whole new…

Elementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gapped and trivial. Here, we give two examples -- one each in a…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Jennifer Cano , Barry Bradlyn , Zhijun Wang , L. Elcoro , M. G. Vergniory , C. Felser , M. I. Aroyo , B. Andrei Bernevig

Electron fractionalization is intimately related to topology. In one-dimensional systems, fractionally charged states exist at domain walls between degenerate vacua. In two-dimensional systems, fractionalization exists in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

Harnessing the optical properties of noble metals down to the nanometer-scale is a key step towards fast and low-dissipative information processing. At the 10-nm length scale, metal crystallinity and patterning as well as probing of surface…

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 C. Weeks , M. Franz

We investigate theoretically and numerically the coupling between elastic and localized surface plasmon modes in a system of gold nanocylinders separated from a thin gold film by a dielectric spacer of few nanometers thickness. That system…

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