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We demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 A. A. Burkov

We show that under the effect of an external electric field and a gradient of chemical potential, a topological electric current can be induced in Weyl semimetals without inversion and mirror symmetries. We derive analytic expressions for…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 R. Flores-Calderón , A. Martín-Ruiz

Recent studies suggest that the nonlinear transport properties in Weyl semimetal may be a measurable consequence of its chiral anomaly. Nonlinear responses in transport are estimated to be substantial, because in real materials such as TaAs…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Min Ju Park , Suik Cheon , Hyun-Woo Lee

We study a new class of topological charge density wave states exhibiting monopole harmonic symmetries. The density-wave ordering is equivalent to pairing in the particle-hole channel due to Fermi surface nesting under interactions. When…

Strongly Correlated Electrons · Physics 2020-04-01 Eric Bobrow , Canon Sun , Yi Li

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

A heterostructure consisting of a magnetic Weyl semimetal and a conventional superconductor exhibits an equilibrium current parallel to the superconductor interface and perpendicular to the magnetization. Analyzing a minimal model, which as…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Kevin A. Madsen , Piet W. Brouwer , Maxim Breitkreiz

Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the influence of disorder on chiral states is not fully clarified so…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Yositake Takane

Weyl semimetals realize massless relativistic fermions with two Weyl nodes separated in energy and momentum space, whose low-energy physics is described by Dirac fermions with an axial gauge constant. Here, we study their electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Tatsuya Amitani , Yusuke Nishida

Solids with topologically robust electronic states exhibit unusual electronic and optical transport properties that do not exist in other materials. A particularly interesting example is chiral charge pumping, the so-called chiral anomaly,…

A Weyl semimetal pierced by a screw dislocation accommodates one-dimensional (1D) chiral states along the corresponding dislocation line. As these states propagate in a particular direction determined by their chirality, a persistent…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Kentaro Kodama , Yositake Takane

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

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

We consider a Weyl semimetal with two nodes and derive the scattering Hamiltonian in the presence of a boundary at $z=0$. We compute the photoemission spectrum and demonstrate the presence of the Fermi arcs which connect the two nodes. In…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

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

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property…

Strongly Correlated Electrons · Physics 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

Weyl semimetals are a three dimensional topological phase of matter with linearly dispersed Weyl points which appear in pairs and carry opposite chirality. The separation of paired Weyl points allows charge transfer between them in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Salah Uddin , Wenye Duan , Jun Wang , Zhongshui Ma , Jun-Feng Liu

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

Weyl semimetals are a three dimensional gapless topological phase in which bands intersect at arbitrary points -- the Weyl nodes -- in the Brillouin zone. These points carry a topological quantum number known as the \emph{chirality} and…

Strongly Correlated Electrons · Physics 2015-03-05 Pavan Hosur , Xiao-Liang Qi

Circularly polarized light fails to generate currents in inversion-symmetric Weyl semimetals with degenerate Weyl nodes. While each node generates current with the direction depending on its chirality, the two currents in the two degenerate…

Strongly Correlated Electrons · Physics 2023-07-26 Amar Bharti , Misha Ivanov , Gopal Dixit
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