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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…

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

Unpinned Dirac points (DPs) are nodal point degeneracies that occur at generic momentum points lacking high symmetry, often exhibiting characteristics typically forbidden by symmetry. While this phenomenon has been observed in solid-state…

光学 · 物理学 2025-02-20 Chang-Hwan Yi , Kyoung-Min Kim

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

Topological semimetals, representing a new topological phase that lacks a full bandgap in bulk states and exhibiting nontrivial topological orders, recently have been extended to photonic systems, predominantly in photonic crystals and to a…

Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

Recently, the gapless Dirac/Weyl nodal semimetals with linear dispersion and topologically protected modes degeneracy are rapidly growing frontiers of topological physics. Especially, type-I, type-II, and critical type-III nodal semimetals…

光学 · 物理学 2022-05-17 Shengyu Hu , Zhiwei Guo , Haitao Jiang , Hong Chen

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…

材料科学 · 物理学 2018-02-13 HaiXiao Wang , Lin Xu , HuanYang Chen , Jian-Hua Jiang

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…

Relativistic massless Dirac fermions can be probed with high-energy physics experiments, but appear also as low-energy quasi-particle excitations in electronic band structures. In condensed matter systems, their massless nature can be…

Crystalline symmetries can generate exotic band-crossing features, which can lead to unconventional fermionic excitations with interesting physical properties. We show how a cubic Dirac point---a four-fold-degenerate band-crossing point…

材料科学 · 物理学 2018-05-23 Wing Chi Yu , Xiaoting Zhou , Feng-Chuan Chuang , Shengyuan A. Yang , Hsin Lin , Arun Bansil

Dirac-like cones, featuring conical linear dispersions intersecting with flat bands, typically arise from accidental degeneracy of multiple modes that requires precise tuning of material and structural parameters, inherently limiting their…

光学 · 物理学 2025-07-15 Muxuan Yang , Dongyang Yan , Lei Gao , Wei Liu , Yun Lai , Yadong Xu , Zhi Hong Hang , Jie Luo

A Dirac fermion in a topological Dirac semimetal is a quadruple-degenerate quasi-particle state with a relativistic linear dispersion. Breaking either time-reversal or inversion symmetry turns this system into a Weyl semimetal that hosts…

材料科学 · 物理学 2017-07-07 Han-Jin Noh , Jinwon Jeong , En-Jin Cho , Kyoo Kim , B. I. Min , Byeong-Gyu Park

The extraordinary electronic properties of Dirac materials, the two-dimensional partners of Weyl semimetals, arise from the linear crossings in their band structure. When the dispersion around the Dirac points is tilted, the emergence of…

介观与纳米尺度物理 · 物理学 2019-07-31 M. Milićević , G. Montambaux , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , J. Bloch , A. Amo

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

强关联电子 · 物理学 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

Very recently, novel quasiparticles beyond those mimicking the elementary high-energy particles such as Dirac and Weyl fermions have attracted great interest in condensed matter physics and materials science1-9. Here we report the first…

介观与纳米尺度物理 · 物理学 2020-06-24 Hailong He , Chunyin Qiu , Xiangxi Cai , Meng Xiao , Manzhu Ke , Fan Zhang , Zhengyou Liu

Topological phase transitions, which have fascinated generations of physicists, are always demarcated by gap closures. In this work, we propose very simple 2D photonic crystal lattices with gap closure points, i.e. band degeneracies…

介观与纳米尺度物理 · 物理学 2017-09-06 Jun Yu Lin , Nai Chao Hu , You Jian Chen , Ching Hua Lee , Xiao Zhang

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

介观与纳米尺度物理 · 物理学 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

Weyl points are the degenerate points in three-dimensional momentum space with nontrivial topological phase, which are usually realized in classical system with structure and symmetry designs. Here we proposed a one-dimensional…

光学 · 物理学 2021-12-01 Ying Chen , Hai-xiao Wang , Qiaoliang Bao , Jian-Hua Jiang , Huanyang Chen

Freestanding photonic crystals can be used to trap both light and mechanical vibrations. These "optomechanical crystal" structures have already been experimentally demonstrated to yield strong coupling between a photon mode and a phonon…

光学 · 物理学 2013-12-03 Michael Schmidt , Vittorio Peano , Florian Marquardt

Different from the Fermi surface of the type-I Dirac semimetal being a point, that of the type-II Dirac semimetal is a pair of crossing lines because the Dirac cone is tilted with open and hyperbolic isofrequency contours. As an optical…

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