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We propose a new principle to realize flatbands which are robust in real materials, based on a network superstructure of one-dimensional segments. This mechanism is naturally realized in the nearly commensurate charge-density wave of…

Strongly Correlated Electrons · Physics 2020-04-08 Jongjun M. Lee , Chenhua Geng , Jae Whan Park , Masaki Oshikawa , Sung-Sik Lee , Han Woong Yeom , Gil Young Cho

We study defect modes in a one-dimensional periodic medium with a dislocation. The model is a periodic Schrodinger operator on $\mathbb{R}$, perturbed by an adiabatic dislocation of amplitude $\delta\ll 1$. If the periodic background admits…

Analysis of PDEs · Mathematics 2018-10-16 Alexis Drouot , Charles L. Fefferman , Michael I. Weinstein

We theoretically study intrinsic superconductivity in doped Dirac semimetals. Dirac semimetals host bulk Dirac points, which are formed by doubly degenerate bands, so the Hamiltonian is described by a $4 \times 4$ matrix and six types of…

Superconductivity · Physics 2016-07-19 Tatsuki Hashimoto , Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

The $C_{2v}$ symmetry of the W(110) surface influences strongly the spin-polarized Dirac-cone-like surface state within a spin-orbit-induced symmetry gap. We present a detailed angle-resolved photoemission study with $s$- and $p$-polarized…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 K. Miyamoto , A. Kimura , T. Okuda , K. Shimada , H. Iwasawa , H. Hayashi , H. Namatame , M. Taniguchi , M. Donath

In our previous study, we have predicted the novel two-dimensional honeycomb monolayers of pnictogen. In particular, the structure and properties of the honeycomb monolayer of nitrogen, which we call nitrogene, are very unusual. In this…

Materials Science · Physics 2016-10-04 Jie-Sen Li , Wei-Liang Wang , Dao-Xin Yao

This paper investigates the pseudo-spin based edge states for flexural waves in a honeycomb perforated phononic plate, which behaves an elastic analogue of the quantum spin Hall effect. We utilize finite element method to analyse the…

Applied Physics · Physics 2018-07-20 Linyun Yang , Kaiping Yu , Ying Wu , Rui Zhao , Shuaishuai Liu

We demonstrate theoretically and experimentally a topological transition of classical light in "photonic graphene": an array of waveguides arranged in the honeycomb geometry. As the system is uniaxially strained (compressed), the two unique…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mikael C. Rechtsman , Yonatan Plotnik , Julia M. Zeuner , Alexander Szameit , Mordechai Segev

We theoretically study the effect of magnetic moir\'e superlattice on the topological surface states by introducing a continuum model of Dirac electrons with a single Dirac cone moving in the time-reversal symmetry breaking periodic…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Zhaochen Liu , Huan Wang , Jing Wang

Mathematical analysis on electromagnetic waves in photonic graphene, a photonic topological material which has a honeycomb structure, is one of the most important current research topics. By modulating the honeycomb structure, numerous…

Analysis of PDEs · Mathematics 2020-06-11 Peng Xie , Yi Zhu

We demonstrate unexpected occurrence of linear bands resembling Dirac cone at the zone-center of Au$_2$Sn surface alloy with $\left( \begin{smallmatrix} 2&1\\ 1&3 \end{smallmatrix} \right)$ surface structure formed by deposition of about…

We study the formation of second harmonic double-resonance cones in hyperbolic metamaterials. An electric dipole on the surface of the structure induces second harmonic light to propagate into two distinct volume plasmon-polariton channels:…

We uncover the existence of Dirac and exceptional points in waveguides made of anisotropic materials, and study the transition between them. Dirac points in the dispersion diagram appear at propagation directions where the matrix describing…

Optics · Physics 2019-10-09 Jordi Gomis-Bresco , David Artigas , Lluis Torner

Two-dimensional semi-Dirac models describe a family of novel materials that have anisotropic dispersion with relativistic-type spectrum along one of the spatial directions and non-relativistic along another. In the present paper we perform…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Daniil Asafov , Ilia Pavlov

Surface Dirac cones in three-dimensional topological insulators have generated tremendous and enduring interest for almost two decades owing to hosting a multitude of exotic properties. In this work, we unveil the existence of two types of…

Materials Science · Physics 2024-02-20 Dongling Liu , Xiao-Jiao Wang , Yijie Mo , Zhongbo Yan

Topological magnon insulators constitute a growing field of research for their potential use as information carriers without heat dissipation. We report an experimental and theoretical study of the magnetic ground-state and excitations in…

Strongly Correlated Electrons · Physics 2022-07-19 C. Wessler , B. Roessli , K. W. Krämer , U. Stuhr , A. Wildes , H. B. Braun , M. Kenzelmann

The band inversions that generate the topologically non-trivial band gaps of topological insulators and the isolated Dirac touching points of three-dimensional Dirac semimetals generally arise from the crossings of electronic states derived…

We study wave propagation in 2D honeycomb structures with a non-commensurate or ``irrational'' line defect or edge. Our model is a Schr\"odinger operator which interpolates, across the edge, between two distinct bulk (asymptotic)…

Mathematical Physics · Physics 2026-04-21 Pierre Amenoagbadji , Michael I. Weinstein

Here, we present the application of a novel method for controlling the geometry of a state-dependent honeycomb lattice: The energy offset between the two sublattices of the honeycomb structure can be adjusted by rotating the atomic…

Freestanding silicene, a monolayer of Si arranged in a honeycomb structure, has been predicted to give rise to massless Dirac fermions, akin to graphene. However, Si structures grown on a supporting substrate can show properties that…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 Jiagui Feng , Sean Wagner , Pengpeng Zhang

Exploring new two-dimensional (2D) van der Waals (vdW) systems is at the forefront of materials physics. Here, through molecular beam epitaxy on graphene-covered SiC(0001), we report successful growth of AlSb in the double-layer honeycomb…