Concept
Equidistributed sequence
Related publications (17)
Anomalous Hall effect and magnetic structure of the topological semimetal (Mn0.78Fe0.22)3Ge
Me3+8Ge, being a Weyl semimetal, shows a large anomalous Hall effect (AHE), which decreases slowly with an increase in 8 from 0.1 to 0.4. However, AHE in this compound remains significantly large in the whole range of 8 because of the robust nature of the ...
AMER PHYSICAL SOC2023Observation of a singular Weyl point surrounded by charged nodal walls in PtGa
Oleg Yazyev, Jan Hugo Dil, Quansheng Wu, Shengnan Zhang
Constrained by the Nielsen-Ninomiya no-go theorem, in all so-far experimentally determined Weyl semimetals (WSMs) the Weyl points (WPs) always appear in pairs in the momentum space with no exception. As a consequence, Fermi arcs occur on surfaces which con ...
NATURE RESEARCH2021Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds
We prove equidistribution at shrinking scales for the monochromatic ensemble on a compact Riemannian manifold of any dimension. This ensemble on an arbitrary manifold takes a slowly growing spectral window in order to synthesize a random function. With hig ...
OXFORD UNIV PRESS2021Uniform distribution in nilmanifolds along functions from a Hardy field
We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if is a nilmanifold, are commuting nilrotations, and are funct ...
2020Experimental observation of the acoustic Z2 Weyl semimetallic phase in synthetic dimensions
Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad
Scalar waves such as airborne sound lack an intrinsic spin degree of freedom, making the realization of sonic Z2 topological phases based on spin degeneracy challenging. Here, we demonstrate the relevance of synthetic dimensions and higher-dimensional topo ...
2020Zero-Index Weyl Metamaterials
Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad
Depending on the geometry of their Fermi surfaces, Weyl semimetals and their analogs in classical systems have been classified into two types. In type-I Weyl semimetals (WSMs), the conelike spectrum at the Weyl point is not tilted, leading to a pointlike c ...
2020Orbital effect and weak localization in the longitudinal magnetoresistance of Weyl semimetals NbP, NbAs, TaP, and TaAs
Philip Johannes Walter Moll, Maja Deborah Bachmann
Weyl semimetals such as the TaAs family (TaAs, TaP, NbAs, NbP) host quasiparticle excitations resemblingthe long-sought-after Weyl fermions at special band-crossing points in the band structure denoted as Weylnodes. They are predicted to exhibit a negative ...
2020Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe
Weyl points in three-dimensional systems with certain symmetry carry non-Abelian topological charges, which can be transformed via non-trivial phase factors that arise upon braiding these points inside the reciprocal space. Weyl semimetals in three-dimensi ...
NATURE PUBLISHING GROUP2020Topological Fermi-arc surface resonances in bcc iron
Oleg Yazyev, Daniel Gosalbez Martinez, Gabriel Albert Autes
The topological classification of matter has been extended to include semimetallic phases characterized by the presence of topologically protected band degeneracies. In Weyl semimetals, the foundational gapless topological phase, chiral degeneracies are is ...
AMER PHYSICAL SOC2020On Certifying Non-Uniform Bounds against Adversarial Attacks
This work studies the robustness certification problem of neural network models, which aims to find certified adversary-free regions as large as possible around data points. In contrast to the existing approaches that seek regions bounded uniformly along a ...
2019