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The total reciprocal space magnetic flux threading through a closed Fermi surface is a topological invariant for a three-dimensional metal. For a Weyl metal, the invariant is non-zero for each of its Fermi surfaces. We show that such an…

Mesoscale and Nanoscale Physics · Physics 2013-05-06 Jianhui Zhou , Hua Jiang , Qian Niu , Junren Shi

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

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…

Magnetic Weyl semimetal (MWS) is a unique topological state with open surface Fermi arc states and other exotic transport phenomena. However, most reported MWSs show multiple pairs of Weyl points and complicated Fermi surfaces, which…

We study the optical properties of Weyl semimetal (WSM) in a model which features, in addition to the usual term describing isolated Dirac cones proportional to the Fermi velocity $v_{F}$, a gap term $m$ and a Zeeman spin-splitting term $b$…

Strongly Correlated Electrons · Physics 2017-10-11 S. P. Mukherjee , J. P. Carbotte

Based on first principle calculations, we show that a family of nonmagnetic materials including TaAs, TaP, NbAs and NbP are Weyl semimetal (WSM) without inversion center. We find twelve pairs of Weyl points in the whole Brillouin zone (BZ)…

Materials Science · Physics 2015-03-19 Hongming Weng , Chen Fang , Zhong Fang , Andrei Bernevig , Xi Dai

Quantum materials governed by emergent topological fermions have become a cornerstone of physics. Dirac fermions in graphene form the basis for moir\'e quantum matter, and Dirac fermions in magnetic topological insulators enabled the…

Photoinduced effects are now reckoned to be important tools to reveal a rich gamut of entrancing physics in topological materials, which are normally inaccessible to conventional probes. Here we investigate one of these intriguing effects,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Suvendu Ghosh , Chuanchang Zeng , A. Taraphder , Jian-Xin Zhu , Snehasish Nandy

Three-dimensional Weyl fermions are found to emerge from simple cubic lattices with staggered fluxes. The mechanism is to gap the quadratic band touching by time-reversal-symmetry-breaking hoppings. The system exhibits rich phase diagrams…

Quantum Gases · Physics 2012-04-03 Jian-Hua Jiang

Topological Weyl semimetal (TWS) is a metal, where low energy excitations behave like Weyl fermions of high-energy physics. It was recently shown that due to the lower symmetry of condensed matter systems, they can realize two distinct…

Strongly Correlated Electrons · Physics 2017-10-18 Wenhan Zhang , Quansheng Wu , Lunyong Zhang , Sang-Wook Cheong , Alexey A. Soluyanov , Weida Wu

We propose a scheme to simulate and explore Weyl semimetal physics with ultracold fermionic atoms in a two-dimensional square optical lattice subjected to experimentally realizable spin-orbit coupling and an artificial dimension from an…

Quantum Gases · Physics 2015-07-29 Dan-Wei Zhang , Shi-Liang Zhu , Z. D. Wang

Quasi-particle excitations in solids described by the Weyl equation have attracted significant attention in recent years. Thus far, a wide range of solids that have been experimentally realized as Weyl semimetals (WSMs) lack either mirror…

Materials Science · Physics 2024-12-20 M. -Y. Yao , J. Noky , Q. -G. Mu , K. Manna , N. Kumar , V. N. Strocov , C. Shekhar , S. Medvedev , Y. Sun , C. Felser

Exchange bias is a phenomenon critical to solid-state technologies that require spin valves or non-volatile magnetic memory. The phenomenon is usually studied in the context of magnetic interfaces between antiferromagnets and ferromagnets,…

The realization of 100\% polarized topological Weyl fermions in half-metallic ferromagnets is of particular importance for fundamental research and spintronic applications. Here, we theoretically investigate the electronic and topological…

Materials Science · Physics 2024-03-06 Xianyong Ding , Xin Jin , Haoran Wei , Ruixiang Zhu , Xiaoliang Xiao , Xiaozhi Wu , Fangyang Zhan , Rui Wang

We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Gábor B. Halász , Leon Balents

A Weyl semimetal (WSM) features Weyl fermions in its bulk and topological surface states on surfaces, and is novel material hosting Weyl fermions, a kind of fundamental particles. The WSM was regarded as a three-dimensional version of…

Materials Science · Physics 2017-04-26 Shumeng Chi , Zhilin Li , Haohai Yu , Gang Wang , Shuxian Wang , Huaijin Zhang , Jiyang Wang

We show that tilted Weyl semimetals with a spatially varying tilt of the Weyl cones provide a platform for studying analogues to problems in anisotropic optics as well as curved spacetime. Considering particular tilting profiles, we…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Viktor Könye , Lotte Mertens , Corentin Morice , Dmitry Chernyavsky , Ali G. Moghaddam , Jasper van Wezel , Jeroen van den Brink

Fermi surface is at the heart of our understanding of metals and strongly correlated many-body systems. An abrupt change in the Fermi surface topology, also called Lifshitz transition, can lead to the emergence of fascinating phenomena like…

Chirality, a characteristic handedness that distinguishes 'left' from 'right', cuts widely across all of nature$^1$, from the structure of DNA$^2$ to opposite chirality of particles and antiparticles$^3$. In condensed matter chiral fermions…

Weyl semimetals are conductors whose low-energy bulk excitations are Weyl fermions, whereas their surfaces possess metallic Fermi arc surface states. These Fermi arc surface states are protected by a topological invariant associated with…

Materials Science · Physics 2017-02-24 M. Zahid Hasan , Su-Yang Xu , Ilya Belopolski , Shin-Ming Huang