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Related papers: Dirac phonons in two-dimensional materials

200 papers

In analogy to various fermions of electrons in topological semimetals, topological mechanical states with two type of bosons, Dirac and Weyl bosons, were reported in some macroscopic systems of kHz frequency and those with a type of…

Materials Science · Physics 2018-02-21 J. X. Li , Q. Xie , S. Ullah , R. H. Li , H. Ma , D. Z. Li , Y. Y. Li , Xing-Qiu Chen

In this work we describe a general method for obtaining degenerate solutions to the Dirac equation, corresponding to an infinite number of electromagnetic 4-potentials and fields, which are explicitly calculated. In more detail, using four…

Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion relations to preserve the Poincar\'{e} symmetry, the most fundamental symmetry in high energy physics. In solids, the counterparts of the Poincar\'{e}…

Materials Science · Physics 2020-08-12 Weikang Wu , Zhi-Ming Yu , Xiaoting Zhou , Y. X. Zhao , Shengyuan A. Yang

We discover a pair of stable 3D Dirac points, 3D photonic analog of graphene, in all-dielectric photonic crystals using structures commensurate with nano-fabrication for visible-frequency photonic applications. The Dirac points carry…

Materials Science · Physics 2018-02-13 HaiXiao Wang , Lin Xu , HuanYang Chen , Jian-Hua Jiang

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

Quite recently a novel variety of unconventional fourfold linear band degeneracy points has been discovered in certain condensed-matter systems. Contrary to the standard 3-D Dirac monopoles, these quadruple points referred to as the…

Optics · Physics 2019-12-17 Mengying Hu , Kun Ding , Tong Qiao , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

Dirac nodal line semimetals (DNLSs) host relativistic quasiparticles in their one-dimensional (1D) Dirac nodal line (DNL) bands that are protected by certain crystalline symmetries. Their novel low-energy fermion quasiparticle excitations…

Raman spectroscopy is one of the most extended experimental techniques to investigate thin-layered 2D materials. For a complete understanding and modeling of the Raman spectrum of a novel 2D material, it is often necessary to combine the…

Dirac materials, unlike the Weyl materials, have not been found in experiments to support intrinsic topological surface states, as the surface arcs in existing systems are unstable against symmetry-preserving perturbations. Utilizing the…

Materials Science · Physics 2020-03-12 Hengbin Cheng , Yixin Sha , Rongjuan Liu , Chen Fang , Ling Lu

A two-dimensional (2D) topological semimetal is characterized by the nodal points in its low-energy band structure. While the linear nodal points have been extensively studied, especially in the context of graphene, the realm beyond linear…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Weikang Wu , Ying Liu , Zhi-Ming Yu , Y. X. Zhao , Weibo Gao , Shengyuan A. Yang

The in-plane acoustic phonon scattering in graphene is solved by considering fully inelastic acoustic phonon scatterings in two-dimensional (2D) Dirac materials for large range of temperature ($T$) and chemical potential ($\mu$). Rigorous…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Khoe Van Nguyen , Yia-Chung Chang

We propose a macroscopic theory of optical phonons, Fr{\"o}hlich polarons, and exciton-polarons in two-dimensional (2D) polar crystalline monolayers. Our theory extends the classical macroscopic formulation of the electron-phonon problem in…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 V. Shahnazaryan , A. Kudlis , I. V. Tokatly

In spinful electronic systems, time-reversal symmetry makes that all Kramers pairs at the time-reversal-invariant momenta are Weyl points (WPs) in chiral crystals. Here, we find that such symmetry-enforced WPs can also emerge in bosonic…

Materials Science · Physics 2020-07-10 Qing-Bo Liu , Yuting Qian , Hua-Hua Fu , Zhijun Wang

Three-dimensional nodal line semimetals (NLSMs) provide remarkable importance for both enrich topological physics and wave management. However, NLSMs realized in acoustic systems are twofold bands degenerate, which are called Weyl NLSMs.…

Applied Physics · Physics 2023-07-10 Chang-Yin Ji , Xiao-Ping Li , Zheng Tang , Di Zhou , Yeliang Wang , Feng Li , Jiafang Li , Yugui Yao

Extreme confinement of electromagnetic energy by phonon polaritons holds the promise of strong and new forms of control over the dynamics of matter. To bring such control to the atomic-scale limit, it is important to consider phonon…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Nicholas Rivera , Thomas Christensen , Prineha Narang

The introduction of a twist between two layers of two-dimensional materials has opened up a new and exciting field of research known as twistronics. In these systems, the phonon dispersions show significant renormalization and enhanced…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Shinjan Mandal , Indrajit Maity , H R Krishnamurthy , Manish Jain

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an…

Materials Science · Physics 2016-05-11 Benjamin J. Wieder , Youngkuk Kim , A. M. Rappe , C. L. Kane

The Dirac equation for relativistic electron waves is the parent model for Weyl and Majorana fermions as well as topological insulators. Simulation of Dirac physics in three-dimensional photonic crystals, though fundamentally important for…

Optics · Physics 2017-11-27 Hai-Xiao Wang , Yige Chen , Zhi Hong Hang , Hae-Young Kee , Jian-Hua Jiang

We investigate the long-wavelength dispersion of longitudinal and transverse optical phonon modes in polar two-dimensional materials, multilayers, and their heterostructures. Using analytical models and density-functional perturbation…

Materials Science · Physics 2017-08-02 Thibault Sohier , Marco Gibertini , Matteo Calandra , Francesco Mauri , Nicola Marzari

Based on first-principles calculations and effective model analysis, all possible straight nodal-line phonons in symmorphic space groups are uncovered. A classification of two-band ${\textbf{k}}\cdot {\textbf{p}}$ models at an arbitrary…

Materials Science · Physics 2021-07-28 Guang Liu , Yuanjun Jin , Zhongjia Chen , Hu Xu