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We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.

数学物理 · 物理学 2024-12-24 Guo Chuan Thiang

Weyl semimetals constitute a newly discovered class of three-dimensional topological materials with linear touchings of valence and conduction bands in the bulk. The most striking property of topological origin in these materials, so far…

介观与纳米尺度物理 · 物理学 2016-02-03 Stefanos Kourtis , Jian Li , Zhijun Wang , Ali Yazdani , B. Andrei Bernevig

Fermi arc states are features of Weyl semimetal (WSM) surfaces which are robust due to the topological character of the bulk band structure. We demonstrate that Fermi arcs may undergo profound restructurings when surfaces of different…

介观与纳米尺度物理 · 物理学 2020-04-01 Ganpathy Murthy , Herbert A Fertig , Efrat Shimshoni

Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

强关联电子 · 物理学 2012-11-08 Pavan Hosur

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…

介观与纳米尺度物理 · 物理学 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

Fermi arcs on Weyl semimetals exhibit many exotic quantum phenomena. Usually considered on atomically-flat surfaces with approximate translation symmetry, Fermi arcs are rooted in peculiar topology of bulk Bloch bands of three-dimensional…

介观与纳米尺度物理 · 物理学 2023-05-15 Xiaohu Zheng , Qiangqiang Gu , Yiyuan Liu1 , Bingbing Tong , Jian-Feng Zhang , Chi Zhang , Shuang Jia , Ji Feng , Rui-Rui Du1

Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$…

超导电性 · 物理学 2025-09-12 Mattia Trama , Viktor Könye , Ion Cosma Fulga , Jeroen van den Brink

Recent experiments on non-magnetic Weyl semimetals have seen separate bulk and surface superconductivity in Weyl semimetals, which raises the question of whether the surface Fermi arcs can support intrinsic superconductivity while the bulk…

强关联电子 · 物理学 2023-11-21 Aymen Nomani , Pavan Hosur

Weyl semimetals are topological materials with protected Weyl nodes in the band structure. In these materials the surface states form open curves at the Fermi surface, Fermi arcs in Weyl semimetals and drumhead states of nodal-line…

介观与纳米尺度物理 · 物理学 2019-02-27 Enrique Benito-Matías , Rafael A. Molina

Fermi arc surface states, the manifestation of the bulk-edge correspondence in Weyl semimetals, have attracted much research interest. In contrast to the conventional Fermi loop, the disconnected Fermi arcs provide an exotic 2D system for…

介观与纳米尺度物理 · 物理学 2021-11-17 Xi-Rong Chen , Guangze Chen , Yue Zheng , Wei Chen , D. Y. Xing

Fermi arc surface states are the hallmark of Weyl semimetals, whose identification is usually challenged by their coexistence with gapless bulk states. Surface transport measurements by fabricating setups on the sample boundary provide a…

介观与纳米尺度物理 · 物理学 2021-08-27 Yue Zheng , Wei Chen , D. Y. Xing

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,…

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…

介观与纳米尺度物理 · 物理学 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

In the recently discovered Weyl semimetals, the Fermi surface may feature disjoint, open segments -- the so-called Fermi arcs -- associated with topological states bound to exposed crystal surfaces. Here we show that the collective dynamics…

介观与纳米尺度物理 · 物理学 2017-12-06 Justin C. W. Song , Mark S. Rudner

We predict a novel metallic state of matter that emerges in a Weyl-semimetal superstructure with spatially varying Weyl-node positions. In the new state, the Weyl nodes are stretched into extended, anisotropic Fermi surfaces, which can be…

介观与纳米尺度物理 · 物理学 2023-05-15 Maxim Breitkreiz , Piet W. Brouwer

One of the main features of Weyl semimetals is the existence of Fermi arc surface states at their surface, which cannot be realized in pure two-dimensional systems in the absence of many-body interactions. Due to the gapless bulk of the…

介观与纳米尺度物理 · 物理学 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

Surface Fermi arcs are the most prominent manifestation of the topological nature of Weyl semimetals. In the presence of a static magnetic field oriented perpendicular to the sample surface, their existence leads to unique inter-surface…

介观与纳米尺度物理 · 物理学 2015-12-22 Yuval Baum , Erez Berg , S. A. Parameswaran , Ady Stern

The recent experimental discovery of a Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature and demonstrates a novel type of anomalous surface state band structure, consisting of Fermi arcs. So far, work has…

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…

材料科学 · 物理学 2017-02-24 M. Zahid Hasan , Su-Yang Xu , Ilya Belopolski , Shin-Ming Huang

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…

介观与纳米尺度物理 · 物理学 2014-03-21 Tomi Paananen , Henning Gerber , Matthias Götte , Thomas Dahm
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