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The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

We provide a manifestly topological classification scheme for generalised Weyl semimetals, in any spatial dimension and with arbitrary Weyl surfaces which may be non-trivially linked. The classification naturally incorporates that of Chern…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Varghese Mathai , Guo Chuan Thiang

Weyl semimetals are extraordinary systems where exotic phenomena such as Fermi arcs, pseudo-gauge fields and quantum anomalies arise from topological band degeneracy in crystalline solids for electrons and metamaterials for photons and…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

Fermi arcs are one of the characteristic features of Weyl semimetals, appearing as surface states that connect Weyl points with opposite chiralities. It has also been suggested that Fermi arcs can emerge in the bulk due to the interplay…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Yuta Furusho , Tomonari Meguro , Kentaro Nomura

Strong coupling between discrete phonon and continuous electron-hole pair excitations can give rise to a pronounced asymmetry in the phonon line shape, known as the Fano resonance. This effect has been observed in a variety of systems, such…

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

Fermi arcs represent the surface states at the boundary of a three-dimensional topological semimetal with the vacuum, illustrating the notion of bulk-boundary correspondence playing out in real materials. Their special character is tied up…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Ipsita Mandal

In the ferromagnetic (FM) Weyl semimetal CeAlSi both space-inversion and time-reversal symmetries are broken. Our quantum oscillation (QO) data indicate that the FM ordering modifies the Fermi surface topology and also leads to an unusual…

In topological physics, it is commonly understood that the existence of the boundary states of a topological system is inherently dictated by its bulk. A classic example is that the surface Fermi arc states of a Weyl system are determined…

Topological materials ranging from topological insulators to semimetals host many novel quantum phenomena including quantum spin Hall effect and topological Fermi arcs. Transitions between these topological phases have attracted much…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Changcang Qiao , Chen-Chia Hsu , Tao Zhang , Zhiming Sun , Dong Qian , Yang-hao Chan , Peng Chen

Domain walls in three-dimensional Weyl semimetals, formed by localized magnetic moments, are investigated. There appear bound states around the domain wall with the discrete spectrum, among which we find "Fermi arc" states with the linear…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yasufumi Araki , Akihide Yoshida , Kentaro Nomura

Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

It is generally believed that there is a correspondence between the topological charge of nodal points or lines and the presence of Fermi arcs. Using a $\mathcal{P}\mathcal{T}$-invariant system as an example, we demonstrate that this…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Xue-Min Yang , Jiang-Shan Chen , Ying Chen , Yu-Hang Qin , Hong Wu

The quantum Hall effect is usually observed in 2D systems. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the topological constraint, the Fermi arc at a single surface…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Considering the low-energy model of tilted Weyl semimetal, we study the electronic transmission through a periodically driven quantum well, oriented in the transverse direction with respect to the tilt. We adopt the formalism of Floquet…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Souvik Das , Arnab Maity , Rajib Sarkar , Anirudha Menon , Tanay Nag , Banasri Basu

Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Sayandip Ghosh , Carsten Timm

We study the properties of the surface states in three-dimensional topological insulators in the presence of a ferromagnetic exchange field. We demonstrate that for layered materials like Bi$_2$Se$_3$ the surface states on the top surface…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Tomi Paananen , Henning Gerber , Matthias Götte , Thomas Dahm
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