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Weyl semimetal is a topologically non-trivial phase of matter with pairs of Weyl nodes in the k-space, which act as monopole and anti-monopole pairs of Berry curvature. Two hallmarks of the Weyl metallic state are the topological surface…

Landau's Fermi-liquid theory is the standard model for metals, characterized by the existence of electron quasiparticles near a Fermi surface as long as Landau's interaction parameters lie below critical values for instabilities. Recently,…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Ki-Seok Kim , Heon-Jung Kim , M. Sasaki , J. -F. Wang , L. Li

Most theoretical studies of tunneling in Dirac and the closely related Weyl semimetals have modeled these materials as single Weyl nodes described by the three-dimensional Dirac equation $H = v_f \vec{p}\cdot\vec{\sigma}$. The influence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-04 Zhuo Bin Siu , Can Yesilyurt , Mansoor B. A. Jalil , Seng Ghee Tan

A Weyl semimetal with a pair of Weyl nodes accommodates chiral states on its flat surface if the Weyl nodes are projected onto two different points in the corresponding surface Brillouin zone. These surface states are collectively referred…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Yositake Takane

We study the effect of a non-Abelian SU(2) gauge potential on the topological semimetal induced by a magnetic field having {\pi}-flux per plaquette and acting on fermions in a cubic lattice. The Abelian {\pi}-flux term gives rise to a…

Quantum Gases · Physics 2017-06-30 Luca Lepori , Ion Cosma Fulga , Andrea Trombettoni , Michele Burrello

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

The Weyl semimetal NbP was found to exhibit topological Fermi arcs and exotic magneto-transport properties. Here, we report on magnetic quantum-oscillation measurements on NbP and construct the 3D Fermi surface with the help of…

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

Weyl semimetals host topologically protected surface states, with arced Fermi surface contours that are predicted to propagate through the bulk when their momentum matches that of the surface projections of the bulk's Weyl nodes. We use…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 Hiroyuki Inoue , Andras Gyenis , Zhijun Wang , Jian Li , Seong Woo Oh , Shan Jiang , Ni Ni , B. Andrei Bernevig , Ali Yazdani

The topological nature of Weyl semimetals (WSMs) is corroborated by the presence of chiral surface states, which connect the projections of the bulk Weyl points by Fermi arcs (FAs). We study a bilayer structure realized by introducing a…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Paolo Michetti , Carsten Timm

We introduce ''Berry-dipole semimetals'', whose band degeneracies are characterized by quantized Berry dipoles. Through a two-band model constructed by Hopf map, we reveal that the Berry-dipole semimetals display a multitude of salient…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Zheng-Yang Zhuang , Chaoyi Zhang , Xiao-Jiao Wang , Zhongbo Yan

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

The surface of a Weyl semimetal (WSM) displays Fermi arcs, i.e. disjoint segments of a two-dimensional Fermi contour. We present a quantum-mechanical non-local theory of chiral Fermi arc plasmons in WSMs with broken time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Gian Marcello Andolina , Francesco M. D. Pellegrino , Frank H. L. Koppens , Marco Polini

Exotic massless fermionic excitations with non-zero Berry flux, other than Dirac and Weyl fermions, could exist in condensed matter systems under the protection of crystalline symmetries, such as spin-1 excitations with 3-fold degeneracy…

Materials Science · Physics 2017-11-20 Peizhe Tang , Quan Zhou , Shou-Cheng Zhang

Recently it has been discovered that in Weyl semimetals the surface state Berry curvature can diverge in certain regions of momentum. This occurs in a continuum description of tilted Weyl cones, which for a slab geometry results in the…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Dennis Wawrzik , Jeroen van den Brink

Three-dimensional topological insulators are characterized by the presence of protected gapless spin helical surface states. In realistic samples these surface states are extended from one surface to another, covering the entire sample.…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Smooth interfaces of topological systems are known to host massive surface states along with the topologically protected chiral one. We show that in Weyl semimetals these massive states, along with the chiral Fermi arc, strongly alter the…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Xin Lu , Dibya Kanti Mukherjee , Mark O. Goerbig

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

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…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Maxim Breitkreiz , Piet W. Brouwer

Weyl semimetals are a new paradigmatic topological phase of matter featuring a gapless spectrum. One of its most distinctive features is the presence of Fermi arc surface states. Here, we report on atomistic simulations of the dc…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Jose Chesta Lopez , Luis E. F. Foa Torres , Alvaro S. Nunez