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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

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

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

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

For a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 Tim Bauer , Francesco Buccheri , Alessandro De Martino , Reinhold Egger

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

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…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

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

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Dirac semi-metals show a linear electronic dispersion in three dimension described by two copies of the Weyl equation, a theoretical description of massless relativistic fermions. At the surface of a crystal, the breakdown of fermion…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Philip J. W. Moll , Nityan L. Nair , Tony Helm , Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath , James G. Analytis

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

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

We propose an analytical model describing Fermi arc surface states observed in the recent investigations of Weyl semimetals. The effective two-valley Hamiltonian is supplemented by the boundary conditions taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Zh. A. Devizorova , V. A. Volkov

Weyl semimetals are a new member of the topological materials family, featuring a pair of singly degenerate Weyl cones with linear dispersion around the nodes in the bulk, and Fermi arcs on the surface. Depending on whether the system…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Hao Zheng , M. Zahid Hasan

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…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Xi-Rong Chen , Guangze Chen , Yue Zheng , Wei Chen , D. Y. Xing

We study the effects of disorder on semi-infinite Weyl and Dirac semimetals where the presence of a boundary leads to the formation of either Fermi arcs/rays or Dirac surface states. Using a local version of the self-consistent Born…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Eric Brillaux , Andrei A. Fedorenko

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

In Weyl materials the valence and conduction electron bands touch at an even number of isolated points in the Brillouin zone. In the vicinity of these points the electron dispersion is linear and may be described by the massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Songci Li , A. V. Andreev

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

We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, $\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}$ in dimensionless…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Swapnonil Banerjee , Warren E. Pickett
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