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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

Weyl fermions are massless chiral particles first predicted in 1929 and once thought to describe neutrinos. Although never observed as elementary particles, quasiparticles with Weyl dispersion have recently been experimentally discovered in…

Quantum Gases · Physics 2017-01-04 Sergey V. Syzranov , Michael L. Wall , Bihui Zhu , Victor Gurarie , Ana Maria Rey

Fermions in nature come in several types: Dirac, Majorana and Weyl are theoretically thought to form a complete list. Even though Majorana and Weyl fermions have for decades remained experimentally elusive, condensed matter has recently…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Alexey A. Soluyanov , Dominik Gresch , Zhijun Wang , QuanSheng Wu , Matthias Troyer , Xi Dai , B. Andrei Bernevig

Physicists have discovered a novel topological semimetal, the Weyl semimetal, whose surface features a non-closed Fermi surface while the low energy quasiparticles in the bulk emerge as Weyl fermions. Here they share a brief review of the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Shuang Jia , Su-Yang Xu , M. Zahid Hasan

Condensed-matter provides attractive platforms to realize exotic particles, originally proposed in high-energy physics. Weyl semimetal (WSM) is a material in which low-energy collective excitations are governed by massless Weyl fermions,…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Amar Bharti

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

Weyl semimetal is a new phase of matter that provides the first solid state realization of chiral Weyl fermions. Most of its unique physics is a consequence of chiral anomaly, namely nonconservation of the number of particles of a given…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , Si Wu , A. A. Burkov

In 1929, H. Weyl proposed that the massless solution of Dirac equation represents a pair of new type particles, the so-called Weyl fermions [1]. However the existence of them in particle physics remains elusive for more than eight decades.…

Weyl fermions are one of the simplest objects that link ideas in geometry and topology to highenergy physics and condensed matter physics. Although the existence of Weyl fermions as elementary particles remains dubious, there is mounting…

Mesoscale and Nanoscale Physics · Physics 2024-06-05 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

Weyl semimetals are phases of matter with excitations effectively described by massless Dirac fermions. Their critical nature makes unclear the persistence of such phase in presence of disorder. We present a theorem ensuring the stability…

Strongly Correlated Electrons · Physics 2020-07-08 Vieri Mastropietro

A new pseudoclassical model to describe Weyl particles is proposed. Different ways of its quantization are presented. They all lead to the theory of Weyl particle; namely, the massless Dirac equation and the Weyl condition are reproduced.…

High Energy Physics - Theory · Physics 2010-11-01 D. M. Gitman , A. E. Goncalves , I. V. Tyutin

Condensed matter systems can host quasiparticle excitations that are analogues to elementary particles such as Majorana, Weyl, and Dirac fermions. Recent advances in band theory have expanded the classification of fermions in crystals, and…

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

The minimal coupling of massless fermions to gravity does not allow for their gravitational production solely based on the expansion of the Universe. We argue that this changes in presence of realistic and potentially detectable stochastic…

High Energy Physics - Phenomenology · Physics 2026-04-01 Azadeh Maleknejad , Joachim Kopp

The axial magnetic effect, i.e., the generation of an energy current parallel to an axial magnetic field coupling with opposite signs to left- and right-handed fermions is a non-dissipative transport phenomenon intimately related to the…

High Energy Physics - Theory · Physics 2014-02-28 Maxim N. Chernodub , Alberto Cortijo , Adolfo G. Grushin , Karl Landsteiner , Maria A. H. Vozmediano

Physically observable particles are assumed to result from an interaction between massless positively and negatively oriented 2-component Weyl neutrinos. A simple quantum mechanical analysis of a composite system of Weyl neutrinos of…

High Energy Physics - Theory · Physics 2010-12-21 Dipak K. Sen

The intersections of topology, geometry and strong correlations offer many opportunities for exotic quantum phases to emerge in condensed matter systems. Weyl fermions, in particular, provide an ideal platform for exploring the dynamical…

Quantum materials governed by emergent topological fermions have become a cornerstone of physics. Dirac fermions in graphene form the basis for moir\'e quantum matter, and Dirac fermions in magnetic topological insulators enabled the…

In quantum field theory, we learn that fermions come in three varieties: Majorana, Weyl, and Dirac. Here we show that in solid state systems this classification is incomplete and find several additional types of crystal symmetry-protected…

Mesoscale and Nanoscale Physics · Physics 2016-07-25 Barry Bradlyn , Jennifer Cano , Zhijun Wang , M. G. Vergniory , C. Felser , R. J. Cava , B. Andrei Bernevig
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