Publications related to Equidistributed sequence

Observation 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 RESEARCH2021

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Matthew De Courcy-Ireland

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 PRESS2021

Uniform distribution in nilmanifolds along functions from a Hardy field

Florian Karl Richter

We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if

X=G/\Gamma

is a nilmanifold,

a_1,\ldots,a_k\in G

are commuting nilrotations, and

f_1,\ldots,f_k

are funct ...

2020

Experimental 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 ...

2020

Zero-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 ...

2020

Orbital 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 ...

2020

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

Oleg Yazyev, Quansheng Wu

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 GROUP2020

Topological 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 SOC2020

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Uniform distribution in nilmanifolds along functions from a Hardy field

Florian Karl Richter

We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if

X=G/\Gamma

is a nilmanifold,

a_1,\ldots,a_k\in G

are commuting nilrotations, and

f_1,\ldots,f_k

are funct ...

2020

Equidistributed sequence

Anomalous Hall effect and magnetic structure of the topological semimetal (Mn0.78Fe0.22)3Ge

Observation of a singular Weyl point surrounded by charged nodal walls in PtGa

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Uniform distribution in nilmanifolds along functions from a Hardy field

Experimental observation of the acoustic Z2 Weyl semimetallic phase in synthetic dimensions

Zero-Index Weyl Metamaterials

Orbital effect and weak localization in the longitudinal magnetoresistance of Weyl semimetals NbP, NbAs, TaP, and TaAs

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

Topological Fermi-arc surface resonances in bcc iron

On Certifying Non-Uniform Bounds against Adversarial Attacks

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Chat with Graph Search

Uniform distribution in nilmanifolds along functions from a Hardy field

Anomalous Hall effect and magnetic structure of the topological semimetal (Mn0.78Fe0.22)3Ge

On Certifying Non-Uniform Bounds against Adversarial Attacks

Zero-Index Weyl Metamaterials

Experimental observation of the acoustic Z2 Weyl semimetallic phase in synthetic dimensions

Orbital effect and weak localization in the longitudinal magnetoresistance of Weyl semimetals NbP, NbAs, TaP, and TaAs

Topological Fermi-arc surface resonances in bcc iron

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

Observation of a singular Weyl point surrounded by charged nodal walls in PtGa