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Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel…

High Energy Physics - Theory · Physics 2014-01-30 Gokce Basar , Dmitri E. Kharzeev , Ho-Ung Yee

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

The effective low energy description of interacting Dirac and Weyl semimetals is that of massless quantum electrodynamics with several Lorentz breaking material parameters. We perform a renormalization group analysis of Coulomb interaction…

Strongly Correlated Electrons · Physics 2018-09-26 Oscar Pozo , Yago Ferreiros , María A. H. Vozmediano

We study the effects of strong $1/r$ long-range Coulomb interactions in a Weyl semimetal. We consider a three-dimensional (3D) Dirac fermion system on a lattice with a time-reversal symmetry breaking term, and take into account $1/r$…

Strongly Correlated Electrons · Physics 2014-08-14 Akihiko Sekine , Kentaro Nomura

The Weyl semimetal surface is modeled by applying the Bogolyubov boundary conditions, in which the quasiparticles have an infinite Dirac mass outside the semimetal. For a Weyl semimetal shaped as a slab of finite thickness, we derive an…

Strongly Correlated Electrons · Physics 2014-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We study the long-range Coulomb interaction effects on the double-Weyl fermion system which is possibly realized in the three dimensional semimetal HgCr$_2$Se$_4$ in the ferromagnetic phase. Within the one-loop renormalization group…

Strongly Correlated Electrons · Physics 2015-06-22 Hsin-Hua Lai

Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

We provide a review of recent experimental results on the chiral anomaly in Dirac/Weyl semimetals. After a brief introduction, we trace the steps leading to the prediction of materials that feature protected 3D bulk Dirac nodes. The chiral…

Strongly Correlated Electrons · Physics 2021-10-29 N. P. Ong , Sihang Liang

The discovery of Weyl and Dirac semimetals has produced a number of dramatic physical effects, including the chiral anomaly and topological Fermi arc surface states. We point out that a very different but no less dramatic physical effect is…

Materials Science · Physics 2018-07-09 Haiwen Liu , Hua Jiang , Ziqiang Wang , Robert Joynt , X. C. Xie

Magnetic impurities in three-dimensional Dirac and Weyl systems are shown to exhibit a fascinatingly diverse range of Kondo physics, with distinctive experimental spectroscopic signatures. When the Fermi level is precisely at the Dirac…

Strongly Correlated Electrons · Physics 2015-09-22 Andrew K. Mitchell , Lars Fritz

The magnetoelectric coupling of electrons in a three-dimensional solid can be effectively described by axion electrodynamics. Here we report the discovery of the fractional magnetoelectric effect in chiral anomalous semimetals of the…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Huan-Wen Wang , Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Shun-Qing Shen

Ferromagnetic Weyl semi-metals exhibit an anomalous Hall effect, a consequence of their topological properties. In the non-interacting case, the derivative of the orbital magnetization with respect to chemical potential is proportional to…

Strongly Correlated Electrons · Physics 2019-04-05 S. Acheche , R. Nourafkan , A. -M. S. Tremblay

We study the effects a strong Coulomb disorder on the transverse magnetoresistance in Weyl semimetals at low temperatures. Using the diagrammatic technique and the Keldysh model to sum up the leading terms in the diagrammatic expansion, we…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 Ya. I. Rodionov , K. I. Kugel , B. A. Aronzon

Propagating chiral magnetic waves (CMW) are expected to exist in chiral plasmas due to the interplay between the chiral magnetic and chiral separation effects induced by the presence of a chiral anomaly. Unfortunately, it was pointed out…

High Energy Physics - Theory · Physics 2024-04-02 Yongjun Ahn , Matteo Baggioli , Yan Liu , Xin-Meng Wu

Weyl semimetals are a new class of Dirac material that posses bulk energy nodes in three dimensions. In this paper, we study a Weyl semimetal subject to an applied magnetic field. We derive expressions for the density of states, electronic…

Strongly Correlated Electrons · Physics 2014-04-30 Phillip E. C. Ashby , J. P. Carbotte

We investigate the strong-coupling phases that may arise in 3D Dirac and Weyl semimetals under the effect of the long-range Coulomb interaction, considering the many-body theory of these electron systems as a variant of the conventional…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 J. Gonzalez

Tilting the Weyl cone breaks the Lorentz invariance and enriches the Weyl physics. Here, we report the observation of a magnetic-field-antisymmetric Seebeck effect in a tilted Weyl semimetal, Co$_3$Sn$_2$S$_2$. Moreover, it is found that…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Bingyan Jiang , Jiaji Zhao , Jiangyuan Qian , Shen Zhang , XiaoBin Qiang , Lujunyu Wang , Ran Bi , Juewen Fan , Hai-Zhou Lu , Enke Liu , Xiaosong Wu

Dirac and Weyl semimetals display a host of novel properties. In Cd$_3$As$_2$, the Dirac nodes lead to a protection mechanism that strongly suppresses backscattering in zero magnetic field, resulting in ultrahigh mobility ($\sim$ 10$^7$…

Mesoscale and Nanoscale Physics · Physics 2017-09-21 Tian Liang , Jingjing Lin , Quinn Gibson , Tong Gao , Max Hirschberger , Minhao Liu , R. J. Cava , N. P. Ong

We study both noncentrosymmetric and time-reversal breaking Weyl semimetal systems under a strong magnetic field with the Coulomb interaction. The three-dimensional bulk system is reduced to many mutually interacting quasi-one-dimensional…

Strongly Correlated Electrons · Physics 2017-06-02 Xiao-Xiao Zhang , Naoto Nagaosa

We study interaction effects, including both long-ranged Coulomb and short-range interactions, in three-dimensional topological triple-Weyl semimetals whose triple-Weyl points are protected by crystal symmetries. By performing Wilsonian…

Strongly Correlated Electrons · Physics 2017-12-27 Shi-Xin Zhang , Shao-Kai Jian , Hong Yao
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