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We show that Weyl points with topological charges 1 and 2 can be found in very simple chiral woodpile photonic crystals, which can be fabricated using current techniques down to the nano-scale. The sign of the topological charges can be…

Optics · Physics 2017-04-05 Ming-Li Chang , Meng Xiao , Wen-Jie Chen , C. T. Chan

Due to their topological charge, or chirality, the Weyl cones present in topological semimetals are considered robust against arbitrary perturbations. One well-understood exception to this robustness is the pairwise creation or annihilation…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Viktor Könye , Adrien Bouhon , Ion Cosma Fulga , Robert-Jan Slager , Jeroen van den Brink , Jorge I. Facio

The recent explosion of research interest in Weyl semimetals has led to many proposed Weyl semimetal candidates and a few experimental observations of a Weyl semimetal in real materials. Through this experience, we have come to appreciate…

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

The realization of a minimal Weyl semimetal (WSM) hosting a single pair of Weyl points (WPs) has thus far been restricted to magnetic systems, since time-reversal symmetry generally enforces a minimum of four WPs in nonmagnetic materials.…

Materials Science · Physics 2026-02-27 Hui-Jing Zheng , Yan Gao , Yanfeng Ge , Yong Liu , Zhong-Yi Lu

Topological Weyl semimetals (TWS) can be classified as type-I TWS, in which the density of states vanishes at the Weyl nodes, and type-II TWS where an electron and a hole pocket meet with finite density of states at the nodal energy. The…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Timothy M. McCormick , Itamar Kimchi , Nandini Trivedi

We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate a special nature of the shortest-period CDW state, which is obtained when the separation…

Strongly Correlated Electrons · Physics 2020-10-01 Dan Sehayek , Manisha Thakurathi , A. A. Burkov

Spinless systems exhibit unique topological characteristics compared to spinful ones, stemming from their distinct algebra. Without chiral interactions typically linked to spin, an intriguing yet unexplored interplay between topological and…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Cong Chen , Xu-Tao Zeng , Wang Yao

Chiral crystals are materials whose lattice structure has a well-defined handedness due to the lack of inversion, mirror, or other roto-inversion symmetries. These crystals represent a broad, important class of quantum materials; their…

In static lattice systems, the Nielsen-Ninomiya theorem enforces the pairing of Weyl points with opposite chiralities, which precludes the chiral magnetic effect (CME) in equilibrium. Periodic driving provides a viable route to circumvent…

Quantum Gases · Physics 2026-05-29 Xiao-Dong Lin , Jinyi Zhang , Long Zhang

Using {\it ab initio} density functional theory, we study the lattice phase transition of quasi-one-dimensional (TaSe$_4$)$_2$I. In the undistorted state, the strongly anisotropic semimetal band structure presents two non-equivalent Weyl…

Materials Science · Physics 2020-05-14 Yang Zhang , Ling-Fang Lin , Adriana Moreo , Shuai Dong , Elbio Dagotto

To observe the Weyl phonon (WP) with the maximum charge and to design a realistic material structure containing only single-pair-WPs have long been considered two challenges in the field of topology physics. Here we have successfully…

Materials Science · Physics 2022-11-09 Zhe-Qi Wang , Qing-Bo Liu , Xiang-Feng Yang , Hua-Hua Fu

Topological band theory has revolutionized our understanding of electronic structure of materials, in particular, a novel state - Weyl semimetal - has been predicted for systems with strong spin-orbit coupling (SOC). Here, a new class of…

Materials Science · Physics 2015-10-20 Yuanping Chen , Yuee Xie , Shengyuan A. Yang , Hui Pan , Fan Zhang , Marvin L. Cohen , Shengbai Zhang

The interaction of light with correlated Weyl semimetals (WSMs) provides a unique platform for exploring non-equilibrium phases and fundamental properties such as chirality. Here, we investigate the structural chirality of (TaSe4)2I, a…

Weyl quasiparticles, as gapless low-energy excitations with nontrivial chirality, have garnered extensive interest in recent years. However, archieving effective and reversible control over their chirality (topological charge) remains a…

Materials Science · Physics 2025-11-19 Zeling Li , Yu liu , Le Du , Fengyu Li , Zhifeng Liu , Lei Li , Lei Wang , Botao Fu , Xiao-Ping Li

Spin-1 Weyl point is formed by three bands touching at a single point in the three dimensional (3D) momentum space, with two of which show cone-like dispersion while the third band is flat. Such a triply degenerate point carries higher…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Xiaotian Shi , Jinkyu Yang

Optical lattices are known for their flexibility to emulate condensed matter physics and beyond. Based on an early theoretical proposal [Science Bulletin 65, 2080 (2020)], a recent experiment published by Wang et al. [Science 372, 271…

Quantum Gases · Physics 2021-07-01 Xiaopeng Li , W. Vincent Liu

The Weyl semimetals [1-6] are three-dimensional (3D) gapless topological phases with Weyl cones in the bulk band, and host massless quasiparticles known as Weyl fermions which were theorized by Hermann Weyl in the last twenties [7]. The…

In metallic condensed matter systems two different types of Weyl fermions can in principle emerge, with either a vanishing (type-I) or with a finite (type-II) density of states at the Weyl node energy. So far only WTe2 and MoTe2 were…

Strongly Correlated Electrons · Physics 2016-05-25 K. Koepernik , D. Kasinathan , D. V. Efremov , Seunghyun Khim , Sergey Borisenko , Bernd Büchner , Jeroen van den Brink

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji