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By using first-principles calculations, we propose that WC-type ZrTe is a new type of topological semimetal (TSM). It has six pairs of chiral Weyl nodes in its first Brillouin zone, but it is distinguished from other existing TSMs by having…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Hongming Weng , Chen Fang , Zhong Fang , Xi Dai

We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Pierre Delplace , Jian Li , David Carpentier

We investigate a three-dimensional (3D) topological phase resembling a Weyl semimetal, modulated by a periodic potential and engineered through Floquet dynamics. This system is constructed by stacking two-dimensional Chern insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Fang Qin , Rui Chen

Theory of elasticity in topological insulators has many common features with relativistic quantum fields interacting with gravitational field in the tetrad form. Here we discuss several issues in the effective topological…

Strongly Correlated Electrons · Physics 2021-01-01 J. Nissinen , G. E. Volovik

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

By using Wilsonian Renormalization Group (RG) methods we rigorously establish the existence of a Weyl semimetallic phase in an interacting three dimensional fermionic lattice system, by showing that the zero temperature Schwinger functions…

Mathematical Physics · Physics 2015-03-10 Vieri Mastropietro

Weyl fermions play a major role in quantum field theory but have been quite elusive as fundamental particles. Materials based on quasi two-dimensional bismuth layers were recently designed and provide an arena for the study of the interplay…

Strongly Correlated Electrons · Physics 2016-12-07 M. Chinotti , A. Pal , W. J. Ren , C. Petrovic , L. Degiorgi

Motivated by the observation that the Standard Model of particle physics (plus a right-handed neutrino) has precisely 16 Weyl fermions per generation, we search for $(3+1)$-dimensional chiral fermionic theories and chiral gauge theories…

Strongly Correlated Electrons · Physics 2014-07-03 Yi-Zhuang You , Yoni BenTov , Cenke Xu

Recent breakthrough in search for the analogs of fundamental particles in condensed matter systems lead to experimental realizations of 3D Dirac and Weyl semimetals. Weyl state can be hosted either by non-centrosymmetric or magnetic…

The recent discovery of Weyl fermions in solids enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. They are constituted of pairs of Weyl points with two-fold band degeneracy, which…

Weyl semi-metals are three dimensional generalizations of graphene with point-like Fermi surfaces. Their linear electronic dispersion leads to a window in the particle-hole excitation spectrum which allows for undamped propagation of…

Strongly Correlated Electrons · Physics 2020-07-16 N. S. Srivatsa , R. Ganesh

We propose a scheme to simulate and explore Weyl semimetal physics with ultracold fermionic atoms in a two-dimensional square optical lattice subjected to experimentally realizable spin-orbit coupling and an artificial dimension from an…

Quantum Gases · Physics 2015-07-29 Dan-Wei Zhang , Shi-Liang Zhu , Z. D. Wang

We introduce (3+1) dimensional models of short-range-interacting electrons that form a strongly correlated many-body state whose low-energy excitations are relativistic neutral fermions coupled to an emergent gauge field, $\text{QED}_{4}$.…

Strongly Correlated Electrons · Physics 2018-11-21 Eran Sagi , Ady Stern , David F. Mross

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

We have found a ferromagnetic Weyl semimetal (WSM) in half metallic Co$_3$Sn$_2$Se$_2$. The three pairs of Weyl points near Fermi level (E$_F$) are derived from nodal lines gapped by spin-orbit coupling (SOC). Though the Weyl points are…

Materials Science · Physics 2018-03-29 Qiunan Xu , Enke Liu , Wujun Shi , Lukas Muechler , Claudia Felser , Yan Sun

Impurities act as in situ probes of nontrivial electronic structure, causing real-space modulations in the density of states detected by scanning tunneling spectroscopy on the sample surface. We show that distinctive topological features of…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Andrew K. Mitchell , Lars Fritz

The Weyl equation describes chiral massless relativistic particles, called Weyl fermions, which have important relations to neutrinos. A direct observation of the dynamics of Weyl fermions in an experiment is difficult to achieve. This…

Quantum Physics · Physics 2019-04-05 De-Sheng Li , Chun-Wang Wu , Lin-Ze He , Wei Wu , Ping-Xing Chen

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

The dispersion relations of magnons in ferromagnetic pyrochlores with Dzyaloshinskii-Moriya interaction is shown to possess Weyl points, i.\,e., pairs of topological nontrivial crossings of two magnon branches with opposite topological…

Computational Physics · Physics 2016-10-12 Alexander Mook , Jürgen Henk , Ingrid Mertig

We theoretically demonstrate the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities that is mediated by the Weyl fermions embedded inside a three-dimensional Weyl semimetal (WSM). The WSM is characterized by a pair of…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Mir Vahid Hosseini , Mehdi Askari