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Three-dimensional (3D) topological nodal points, such as Weyl and Dirac nodes have attracted wide-spread interest across multiple disciplines and diverse material systems. Unlike nodal points that contain little structural variations, nodal…

Materials Science · Physics 2018-05-04 Qinghui Yan , Rongjuan Liu , Zhongbo Yan , Boyuan Liu , Hongsheng Chen , Zhong Wang , Ling Lu

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by topological properties of the bulk structure. For a general 1D…

Mathematical Physics · Physics 2022-12-28 Junshan Lin , Hai Zhang

We analyze the electronic structure in the three-dimensional (3D) crystal formed by the $sp^2$ hybridized orbitals ($K_4$ crystal), by the tight-binding approach based on the first-principles calculation. We discover that the bulk…

Mesoscale and Nanoscale Physics · Physics 2016-11-18 Masahisa Tsuchiizu

The opacity of graphene is known to be approximately given by the fine-structure constant $\alpha$ times $\pi$. We point out the fact that the opacity is roughly independent of the frequency and polarization of the light can be attributed…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Matheus S. M. de Sousa , Wei Chen

The topological characteristics of photonic crystals have been the subject of intense research in recent years. Despite this, the basic question of whether photonic band topology is rare or abundant -- i.e., its relative prevalence --…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Ali Ghorashi , Sachin Vaidya , Mikael Rechtsman , Wladimir Benalcazar , Marin Soljačić , Thomas Christensen

Based on their formation mechanisms, Dirac points in three-dimensional systems can be classified as accidental or essential. The former can be further distinguished into type-I and type-II, depending on whether the Dirac cone spectrum is…

Materials Science · Physics 2017-09-12 Cong Chen , Shan-Shan Wang , Lei Liu , Zhi-Ming Yu , Xian-Lei Sheng , Ziyu Chen , Shengyuan A. Yang

We combined the group theory and data mining approach within the Organic Materials Database that leads to the prediction of stable Dirac-point nodes within the electronic band structure of 3-dimensional organic crystals. We find a…

Materials Science · Physics 2017-09-25 R. Matthias Geilhufe , Stanislav S. Borysov , Adrien Bouhon , Alexander V. Balatsky

Dirac materials, starting with graphene, have drawn tremendous research interest in the past decade. Instead of focusing on the $p_z$ orbital as in graphene, we move a step further and study orbital-active Dirac materials, where the orbital…

Strongly Correlated Electrons · Physics 2023-01-16 Shenglong Xu , Congjun Wu

The discovery of two-dimensional topological photonic systems has transformed our views on electromagnetic propagation and scattering of classical waves, and a quest for similar states in three dimensions, known to exist in condensed matter…

Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with gapless electrons and novel electrodynamic properties believed to be robust against weak perturbations. Here, we unveil the crucial influence of the disorder…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 J. P. Santos Pires , B. Amorim , Aires Ferreira , İnanç Adagideli , Eduardo R. Mucciolo , J. M. Viana Parente Lopes

It is shown that the symmetry enforced Dirac points exist at some time reversal symmetric momenta in antiferroemgnetic compound GdB$_4$. These Dirac points may be controlled by the external magnetic field or by the deformation of the…

Strongly Correlated Electrons · Physics 2019-07-03 V. V. Kabanov

Two-dimensional Dirac semimetals have attracted much attention because of their linear energy dispersion and non-trivial Berry phase. Graphene-like 2D Dirac materials are gapless only within certain approximations, e.g., if spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Amarnath Chakraborty , Guang Bian , Giovanni Vignale

In topological quantum materials the conduction and valence bands are connected at points (Dirac/Weyl semimetals) or along lines (Line Node semimetals) in the momentum space. Numbers of studies demonstrated that several materials are indeed…

Given an $L_{\infty}$-algebra $V$ and an $L_{\infty}$-subalgebra $W$, we give sufficient conditions for all small Maurer-Cartan elements of $V$ to be equivalent to Maurer-Cartan elements lying in $W$. As an application, we obtain a…

Symplectic Geometry · Mathematics 2023-08-25 Karandeep Jandu Singh , Marco Zambon

Discrete fermionic and bosonic models for hyperbolic lattices have attracted significant attention across a range of fields since the experimental realization of hyperbolic lattices in metamaterial platforms, sparking the development of…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Ana Djordjević , Marija Dimitrijević Ćirić , Vladimir Juričić

Previously known three-dimensional Dirac semimetals (DSs) occur in two types -- topological DSs and nonsymmorphic DSs. Here we present a novel three-dimensional DS that exhibits both features of the topological and nonsymmorphic DSs. We…

Mesoscale and Nanoscale Physics · Physics 2019-06-24 Yun-Tak Oh , Hong-Guk Min , Youngkuk Kim

Recent pump-probe experiments demonstrate the possibility that Dirac materials may be driven into transient excited states describable by two chemical potentials, one for the electrons and one for the holes. Given the Dirac nature of the…

Materials Science · Physics 2017-05-10 Christopher Triola , Anna Pertsova , Robert S. Markiewicz , Alexander V. Balatsky

Dirac point in two-dimensional (2D) materials has been a fascinating subject of research. Recently, it has been theoretically predicted that Dirac point may also be stabilized in 2D magnetic systems. However, it remains a challenge to…

Materials Science · Physics 2020-01-22 Si Li , Ying Liu , Zhi-Ming Yu , Yalong Jiao , Shan Guan , Xian-Lei Sheng , Yugui Yao , Shengyuan A. Yang

Plasmon opens up the possibility to efficiently couple light and matter at sub-wavelength scales. In general, the plasmon frequency is dependent of carrier density. This dependency, however, renders fundamentally a weak plasmon intensity at…

Materials Science · Physics 2019-11-20 Jianfeng Wang , Xuelei Sui , Shiwu Gao , Wenhui Duan , Feng Liu , Bing Huang

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Mikito Koshino , Hideo Aoki
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