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Recently, intense efforts have been devoted to realizing classical analogues of various topological phases of matter. In this Letter, we explore the intriguing Weyl physics by a simple one-dimensional sonic crystal, in which two extra…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xiying Fan , Chunyin Qiu , Yuanyuan Shen , Hailong He , Meng Xiao , Manzhu Ke , Zhengyou Liu

In electronics systems, the Weyl points can be classified into three types based on the geometry of the Fermi surface, and each type exhibits various unique and intriguing phenomena. While the type-I and type-II Weyl points have been…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Xiao-Ping Li , Feng Li , Di Zhou , Ying Wu , Zhi-Ming Yu , Yugui Yao

We provide a systematic study of non-Hermitian topologically charged systems. Starting from a Hermitian Hamiltonian supporting Weyl points with arbitrary topological charge, adding a non-Hermitian perturbation transforms the Weyl points to…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Alexander Cerjan , Meng Xiao , Luqi Yuan , Shanhui Fan

We demonstrate that a class of stable $\mathbb{Z}_2$ monopole charge Dirac point ($\mathbb{Z}_2$DP) phases can robustly exist in real materials, which surmounts the understanding: that is, a $\mathbb{Z}_2$DP is unstable and generally…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 Shifeng Qian , Yongpan Li , Cheng-Cheng Liu

We study the topological properties of 3D Floquet bandstructures, which are defined using unitary evolution matrices rather than Hamiltonians. Previously, 2D bandstructures of this sort have been shown to exhibit anomalous topological…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Hailong Wang , Longwen Zhou , Yidong Chong

Fermions in nature come in several types: Dirac, Majorana and Weyl are theoretically thought to form a complete list. Even though Majorana and Weyl fermions have for decades remained experimentally elusive, condensed matter has recently…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Alexey A. Soluyanov , Dominik Gresch , Zhijun Wang , QuanSheng Wu , Matthias Troyer , Xi Dai , B. Andrei Bernevig

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

In recent years there has been a great interest in topological photonics and protected edge states. Here, we present a first principles method to compute topological invariants of three-dimensional gapless phases. Our approach allows to…

Optics · Physics 2023-03-30 G. R. Fonseca , F. R. Prudêncio , M. G. Silveirinha , P. A. Huidobro

Topology and chirality of fermionic quasiparticles have enabled exciting discoveries, including quantum anomalous Hall liquids and topological superconductivity. Recently, topological and chiral phonons emerge as new and fast-evolving…

Materials Science · Physics 2025-04-16 Tiantian Zhang , Shuichi Murakami , Hu Miao

Weyl superconductivity or superfluidity, a fascinating topological state of matter, features novel phenomena such as emergent Weyl fermionic excitations and anomalies. Here we report that an anisotropic Weyl superfluid state can arise as a…

Quantum Gases · Physics 2015-01-30 Bo Liu , Xiaopeng Li , Lan Yin , W. Vincent Liu

Three-dimensional condensed matter incarnations of Weyl fermions generically have a tilted dispersion---in sharp contrast with their elusive high-energy relatives where a tilt is forbidden by Lorentz invariance, and with the low-energy…

Materials Science · Physics 2016-08-24 M. Udagawa , E. J. Bergholtz

Topological semimetals, particularly Weyl semimetals (WSMs), are crucial platforms for exploring emergent quantum phenomena due to their unique electronic structures and potential to transition into various topological phases. In this…

Novel "quasi two dimensional" typically layered (semi) metals offer a unique opportunity to control the density and even the topology of the electronic matter. Along with doping and gate voltage, a robust tuning is achieved by application…

Superconductivity · Physics 2023-03-28 Baruch Rosenstein , B. Ya. Shapiro

Topological semimetals in three-dimensions (e.g. Weyl semimetal) can be built by stacking two dimensional topological phases. The interesting aspect of such a construction is that even though the topological building blocks in the low…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Sriram Ganeshan , S. Das Sarma

Weyl fermions1 do not appear in nature as elementary particles, but they are now found to exist as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have…

Optics · Physics 2016-10-17 Qiang Wang , Meng Xiao , Hui Liu , Xiangang Wan , Shining Zhu , C. T. Chan

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

Topological semimetal, hosting spin-1 Weyl point beyond Dirac and Weyl points, has attracted a great deal of attention. However, the spin-1 Weyl semimetal, which possesses exclusively the spin-1 Weyl points in a clean frequency window,…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Weiyin Deng , Xueqin Huang , Jiuyang Lu , Feng Li , Jiahong Ma , Shuqi Chen , Zhengyou Liu

Weyl semimetals have been classified into type-I and type-II with respect to the geometry of their Fermi surfaces at the Weyl points. Here, we propose a new class of Weyl semimetal, whose unique Fermi surface contains two electron or two…

Mesoscale and Nanoscale Physics · Physics 2021-04-29 Xiao-Ping Li , Ke Deng , Botao Fu , YongKai Li , DaShuai Ma , JunFeng Han , Jianhui Zhou , Shuyun Zhou , Yugui Yao

Weyl fermions have not been found in nature as elementary particles, but they emerge as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have fueled the…

Optics · Physics 2017-08-22 Qiang Wang , Meng Xiao , Hui Liu , Shining Zhu , C. T. Chan

A new type of topological state in strongly corrected condensed matter systems, heavy Weyl fermion state, has been found in a heavy fermion material CeRu$_4$Sn$_6$, which has no inversion symmetry. Both two different types of Weyl points,…

Strongly Correlated Electrons · Physics 2017-03-15 Yuanfeng Xu , Changming Yue , Hongming Weng , Xi Dai