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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…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Xiaohu Zheng , Qiangqiang Gu , Yiyuan Liu1 , Bingbing Tong , Jian-Feng Zhang , Chi Zhang , Shuang Jia , Ji Feng , Rui-Rui Du1

We present a semiclassical explanation for the morphology of the surface Fermi arcs of Weyl semimetals. Viewing the surface states as a two-dimensional Fermi gas subject to band bending and Berry curvatures, we show that it is the…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

Three-dimensional Weyl semimetals have pairs of topologically protected Weyl nodes, whose projections onto the surface Brillouin zone are the end points of zero energy surface states called Fermi arcs. At the endpoints of the Fermi arcs,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Faruk Abdulla , Sumathi Rao , Ganpathy Murthy

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…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Stefanos Kourtis , Jian Li , Zhijun Wang , Ali Yazdani , B. Andrei Bernevig

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.

Mathematical Physics · Physics 2024-12-24 Guo Chuan Thiang

The surface Fermi arc states in $Z_2$ Weyl semimetals $A_3 Bi$ (A=Na, K, Rb) are studied by employing a continuum low-energy effective model. It is shown that the surface Fermi arc states can be classified with respect to the ud-parity…

Strongly Correlated Electrons · Physics 2015-06-24 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

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…

Strongly Correlated Electrons · Physics 2012-11-08 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…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Enrique Benito-Matías , Rafael A. Molina

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…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Justin C. W. Song , Mark S. Rudner

For noninteracting Weyl semimetals (WSMs), Fermi-arc surface states can arise when there exist gapless Weyl nodes in the bulk single-particle spectrum. However, in the presence of electronic correlations, it is not clear whether this…

Strongly Correlated Electrons · Physics 2020-07-27 Yu-Chin Tzeng , Min-Fong Yang

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$_2$…

Superconductivity · Physics 2025-09-12 Mattia Trama , Viktor Könye , Ion Cosma Fulga , Jeroen van den Brink

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

We study dispersions of Fermi arcs in the Weyl semimetal phase by constructing a simple effective model. We calculate how the surface Fermi-arc dispersions for the top- and bottom surfaces merge into the bulk Dirac cones in the Weyl…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 Ryo Okugawa , Shuichi Murakami

We find that generic boundary conditions of Weyl semimetal is dictated by only a single real parameter, in the continuum limit. We determine how the energy dispersions (the Fermi arcs) and the wave functions of edge states depend on this…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Koji Hashimoto , Taro Kimura , Xi Wu

The Weyl semimetal is a new quantum state of topological semimetal, of which topological surface states -- the Fermi arcs exist. In this paper, the Fermi arcs in Weyl semimetals are classified into two classes -- class-1 and class-2. Based…

Materials Science · Physics 2018-03-14 Xiao-Ming Zhao , Xiao Kong , Cui-Xian Guo , Ya-Jie Wu , Su-Peng Kou

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Alexander Lau , Klaus Koepernik , Jeroen van den Brink , Carmine Ortix

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…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Ganpathy Murthy , Herbert A Fertig , Efrat Shimshoni

We report a combined experimental and theoretical study of the candidate type-II Weyl semimetal MoTe2. Using laser-based angle-resolved photoemission we resolve multiple distinct Fermi arcs on the inequivalent top and bottom (001) surfaces.…

It has been noted that certain surfaces of Weyl semimetals have bound states forming open Fermi arcs, which are never seen in typical metallic states. We show that the Fermi arcs enable them to support an even more exotic surface state with…

Superconductivity · Physics 2015-06-22 Bo Lu , Keiji Yada , Masatoshi Sato , Yukio Tanaka

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…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Yuval Baum , Erez Berg , S. A. Parameswaran , Ady Stern
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