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We consider three-dimensional fermionic band theories that exhibit Weyl nodal surfaces defined as two-band degeneracies that form closed surfaces in the Brillouin zone. We demonstrate that topology ensures robustness of these objects under…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Oğuz Türker , Sergej Moroz

There is an immense effort in search for various types of Weyl semimetals, of which the most fundamental phase consists of the minimal number of i.e. two Weyl points, but is hard to engineer in solids. Here we demonstrate how such…

Quantum Gases · Physics 2020-11-11 Yue-Hui Lu , Bao-Zong Wang , Xiong-Jun Liu

Formulating consistent theories describing strongly correlated metallic topological phases is an outstanding problem in condensed matter physics. In this work we derive a theory defining a fractionalized analogue of the Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Tobias Meng , Adolfo G. Grushin , Kirill Shtengel , Jens H. Bardarson

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

Conventional Weyl nodes are twofold band crossings that carry a unit monopole charge, which can exist in condensed matter systems with the protection of translation symmetry. Unconventional Weyl nodes are twofold/multifold band crossings…

Materials Science · Physics 2020-09-29 Tiantian Zhang , Ryo Takahashi , Chen Fang , Shuichi Murakami

The interplay between magnetic ordering and band topology has emerged as a fertile ground for discovering novel quantum states with profound implications for fundamental physics and next-generation electronics. Here, we theoretically…

Materials Science · Physics 2025-05-09 Qingqing Li , Li Chen , Run-Wu Zhang , Botao Fu

Topological photonics enables unprecedented photon manipulation by realizing various topological states, such as corner states, edge states, and surface states. However, achieving a topological fiber state has remained elusive. Here, we…

Optics · Physics 2024-10-03 Hao Lin , Yu Wang , Zitao Ji , Yidong Zheng , Jianfeng Chen , Zhi-Yuan Li

The realization of triply degenerate points (TDPs) with exotic fermionic excitations has opened a new perspective for the understanding of our nature. Here we explore the coexistence of single unpaired TDP and multiple twofold Weyl points…

Quantum Gases · Physics 2022-07-14 Zhoutao Lei , Yuangang Deng , Chaohong Lee

We investigate the topological electronic properties of the $K_4$ crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities ($\chi = \pm 2$ and $\chi = \pm 1$) located…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Shoya Yoshida , Katsuhiro Takahashi , Katsunori Wakabayashi

The notion of higher-order topological insulators has endowed materials with topological states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological insulator can host topologically protected 1D hinge…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Qiang Wei , Xuewei Zhang , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Mou Yan , Gang Chen , Zhengyou Liu , Suotang Jia

Recently, Wang et al. [Phys. Rev. B, 106, 195129 (2022)] challenged a widely held belief in the field of Weyl physics, demonstrating that single-pair-Weyl-points (SP-WPs) can exist in nonmagnetic spinless systems, contrary to previous…

Materials Science · Physics 2023-07-19 Guangqian Ding , Chengwu Xie , Jingbo Bai , Zhenxiang Cheng , Xiaotian Wang , Weikang Wu

Topological materials hosting multifold fermions and bosons have emerged as a rich platform for exploring unconventional quasiparticles and transport phenomena. In this work, we investigate the chiral crystal SiTc using first-principles…

Materials Science · Physics 2025-07-01 Shivendra Kumar Gupta , Saurabh Kumar Sen , Nagarjuna Patra , Ajit Singh Jhala , Poorva Singh

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Kaifa Luo , Rui Yu , Hongming Weng

Unconventional Weyl phonons with higher topological charges in crystalline solids have attracted increasing attention. By symmetry analysis and low-energy $k.p$ effective Hamiltonian, we propose the symmetry enforced triple hourglass Weyl…

Materials Science · Physics 2022-12-28 Guang Liu , Zhongjia Chen , Peng Wu , Hu Xu

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

Weyl points are robust point degeneracies in the band structure of a periodic material, which act as monopoles of Berry curvature. They have been at the forefront of research in three-dimensional topological materials (whether photonic,…

Optics · Physics 2021-01-04 Sachin Vaidya , Jiho Noh , Alexander Cerjan , Mikael C. Rechtsman

Topological mechanics and phononics have recently emerged as an exciting field of study. Here we introduce and study generalizations of the three-dimensional pyrochlore lattice that have topologically protected edge states and Weyl lines in…

Soft Condensed Matter · Physics 2016-11-10 Olaf Stenull , C. L. Kane , T. C. Lubensky

A variety of quantum systems exhibits Weyl points in their spectra where two bands cross in a point of three-dimensional parameters space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Janis Erdmanis , Árpád Lukács , Yuli V. Nazarov

We have developed a theory for the energy dispersion of chiral phonons in a simplest cubic lattice. Among all the phonon modes, only the optical triplet modes exhibit the intrinsic characteristics of chiral phonons near k=0, and we examine…

Strongly Correlated Electrons · Physics 2025-08-20 Hirokazu Tsunetsugu , Hiroaki Kusunose

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil
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