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The discovery of Weyl semimetals represents a significant advance in topological band theory. They paradigmatically enlarged the classification of topological materials to gapless systems while simultaneously providing experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 P. Rüßmann , A. P. Weber , F. Glott , N. Xu , M. Fanciulli , S. Muff , A. Magrez , P. Bugnon , H. Berger , M. Bode , J. H. Dil , S. Blügel , P. Mavropoulos , P. Sessi

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

Electron-electron interactions in a Weyl semimetal are rigorously investigated in a lattice model by non perturbative methods. The absence of quantum phase transitions is proved for interactions not too large and short ranged. The…

Strongly Correlated Electrons · Physics 2015-06-17 Vieri Mastropietro

Weyl semimetals (WSMs) constitute a 3D phase with linearly-dispersing Weyl excitations at low energy, which lead to unusual electrodynamic responses and open Fermi arcs on boundaries. We derive a simple criterion to identify and…

Strongly Correlated Electrons · Physics 2014-10-28 William Witczak-Krempa , Michael Knap , Dmitry Abanin

Weyl semimetals constitute a newly discovered class of three-dimensional topological materials with linear touchings of valence and conduction bands in the bulk. The most striking property of topological origin in these materials, so far…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Stefanos Kourtis , Jian Li , Zhijun Wang , Ali Yazdani , B. Andrei Bernevig

The chiral anomaly is one of the robust quantum effects in relativistic field theories with a chiral symmetry where charges in chiral sectors appear to be separately conserved. The chiral anomaly, which is often associated with a…

Strongly Correlated Electrons · Physics 2026-02-27 Shuyang Wang , Jay D. Sau

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

We study the generic band structures of the five-dimensional (5D) Weyl semimetal, in which the band degeneracies are 2D Weyl surfaces in the momentum space, and may have non-trivial linkings with each other if they carry nonzero second…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Jing-Yuan Chen , Biao Lian , Shou-Cheng Zhang

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

Weyl semimetals are a class of materials that can be regarded as three-dimensional analogs of graphene breaking time reversal or inversion symmetry. Electrons in a Weyl semimetal behave as Weyl fermions, which have many exotic properties,…

Materials Science · Physics 2015-08-05 B. Q. Lv , H. M. Weng , B. B. Fu , X. P. Wang , H. Miao , J. Ma , P. Richard , X. C. Huang , L. X. Zhao , G. F. Chen , Z. Fang , X. Dai , T. Qian , H. Ding

Negative magnetoresistance is one of the manifestations of the chiral anomaly in Weyl semimetals. The magneto-optical conductivity also shows transitions between Landau levels that are not spaced as in an ordinary electron gas. How are such…

Strongly Correlated Electrons · Physics 2020-08-05 S. Acheche , R. Nourafkan , J. Padayasi , N. Martin , A. -M. S. Tremblay

The chiral surface states of Weyl semimetals have an open Fermi surface called Fermi arc. At the interface between two Weyl semimetals, these Fermi arcs are predicted to hybridize and alter their connectivity. In this letter, we numerically…

Mesoscale and Nanoscale Physics · Physics 2023-08-07 D. -H. -Minh Nguyen , Chiara Devescovi , Dung Xuan Nguyen , Hai Son Nguyen , Dario Bercioux

We report the discovery of a time-reversal symmetric Weyl semimetal obtained by modifying a model Hamiltonian describing the electronic properties of conventional alkali metals. The artificially generated Weyl semimetal features four…

Materials Science · Physics 2020-06-11 Joseba Goikoetxea , Jorge Bravo-Abad , Jaime Merino

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 fermions, which are fermions with definite chiralities, can give rise to anomalous breaking of the symmetry of the physical system which they are a part of. In their (3+1)-dimensional realizations in condensed matter systems, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Jimmy A. Hutasoit , Jiadong Zang , Radu Roiban , Chao-Xing Liu

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at even number of points in the Brillouin zone. In this work we study a zincblende lattice model realizing a time-reversal invariant Weyl semimetal.…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Teemu Ojanen

In this work we predict a family of noncentrosymmetric two-dimensional (2D) Weyl semimetals composed by porous Ge and SiGe structures. These systems are energetically stable graphenylene-like structures with a buckling, spontaneously…

Materials Science · Physics 2024-02-06 Emmanuel V. C. Lopes , Rogerio J. Baierle , Roberto H. Miwa , Tome M. Schmidt

Ideal Weyl semimetals with all Weyl nodes exactly at the Fermi level and no coexisting trivial Fermi surfaces in the bulk, similar to graphene, could feature deep physics such as exotic transport phenomena induced by the chiral anomaly.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Jiawei Ruan , Shao-Kai Jian , Hong Yao , Haijun Zhang , Shou-Cheng Zhang , Dingyu Xing

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
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