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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…

We investigate the interplay of many-body and band structure effects of interacting Weyl semimetals (WSM). Attractive and repulsive Hubbard interactions are studied within a model for a time-reversal-breaking WSM with tetragonal symmetry,…

Strongly Correlated Electrons · Physics 2017-01-06 Manuel Laubach , Christian Platt , Ronny Thomale , Titus Neupert , Stephan Rachel

Magnetic Weyl semimetals (WSM) have recently attracted much attention due to their potential in realizing strong anomalous Hall effects. Yet, how to design such systems remains unclear. Based on first-principles calculations, we show here…

Materials Science · Physics 2025-02-21 Xiaosong Bai , Yan Wang , Wenwen Yang , Qiunan Xu , Wenjian Liu

We present a theory of the intrinsic anomalous Hall effect in a model of a doped Weyl semimetal, which serves here as the simplest toy model of a generic three-dimensional metallic ferromagnet with Weyl nodes in the electronic structure. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 A. A. Burkov

Inter-band effects of magnetic field on orbital magnetic susceptibility and Hall effect in weak magnetic field have been studied theoretically at absolute zero for the model of massless Fermions in two dimension described by Weyl equation…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fukuyama

We reconsider the problem of the anomalous Hall effect in ferromagnetic SrRuO$_3$, incorporating insights from the recently developed theory of Weyl semimetals. We demonstrate that SrRuO$_3$ possesses a large number of Weyl nodes, separated…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , D. L. Bergman , A. A. Burkov

Constructing an effective field theory in terms of doped magnetic impurities (described by an O(3) vector model with a random mass term), itinerant electrons of spin-orbit coupled semiconductors (given by a Dirac theory with a relatively…

Strongly Correlated Electrons · Physics 2018-11-28 Kyoung-Min Kim , Jinsu Kim , Soo-Whan Kim , Myung-Hwa Jung , Ki-Seok Kim

The discovery of a significantly large anomalous Hall effect in the chiral antiferromagnetic system - Mn$_3$Ge - indicates that the Weyl points are widely separated in phase space and positioned near the Fermi surface. In order to examine…

Strongly Correlated Electrons · Physics 2024-05-27 Venus Rai , Subhadip Jana , Jörg Perßon , Shibabrata Nandi

We study the anomalous Hall effect and orbital magnetization in chiral antiferromagnets, constructing a simple tight-binding model on a stacked Kagome lattice structure with spin-orbit coupling and the exchange interaction between the…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Naohiro Ito , Kentaro Nomura

We study the electromagnetic properties of Weyl semimetals with strong interactions. Focusing on a single Weyl cone in the band structure, we induce strong interactions by coupling the Weyl fermion with a tunable coupling constant $g_f$ to…

High Energy Physics - Theory · Physics 2016-05-11 V. P. J. Jacobs , Panagiotis Betzios , Umut Gursoy , H. T. C. Stoof

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

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

Realization of noncentrosymmetric magnetic Weyl metals is expected to exhibit anomalous transport properties stemming from the interplay of unusual bulk electronic topology and magnetism. Here, we present spin-valve-like magnetoresistance…

Me$_{3+\delta}$Ge, being a Weyl semimetal, shows a large anomalous Hall effect (AHE), which decreases slowly with an increase in $\delta$ from 0.1 to 0.4. However, AHE in this compound remains significantly large in the whole range of…

Strongly Correlated Electrons · Physics 2023-05-17 Venus Rai , Anne Stunault , Wolfgang Schmidt , Subhadip Jana , Jörg Perßon , Thomas Brückel , Shibabrata Nandi

We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the…

Materials Science · Physics 2025-04-08 Achintya Low , Tushar Kanti Bhowmik , Susanta Ghosh , Susmita Changdar , Setti Thirupathaiah

We present a theory of the anomalous Hall effect (AHE) in a doped Weyl semimetal, or Weyl metal, including both intrinsic and extrinsic (impurity scattering) contributions. We demonstrate that a Weyl metal is distinguished from an ordinary…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 A. A. Burkov

We study the intrinsic and extrinsic Hall effects in disordered magnetic Weyl semimetals numerically. We show that in Weyl metals, where the Fermi energy deviates from the Weyl point, the Hall and longitudinal conductances exhibit a…

Mesoscale and Nanoscale Physics · Physics 2021-12-16 Koji Kobayashi , Kentaro Nomura

Weyl fermions can arise from time-reversal symmetry-breaking magnetism, but their impact on magnetic order is a source of ongoing research. Using high-precision neutron diffraction and spectroscopy, we present a comprehensive exploration of…

Magnets, with topologically-nontrivial Dirac/Weyl points, have recently attracted significant attention owing to the unconventional physical properties, such as large anomalous Hall effects. However, they typically have a high carrier…

Strongly Correlated Electrons · Physics 2023-04-12 M. Kondo , M. Ochi , R. Kurihara , A. Miyake , Y. Yamasaki , M. Tokunaga , H. Nakao , K. Kuroki , T. Kida , M. Hagiwara , H. Murakawa , N. Hanasaki , H. Sakai

Weyl semimetals (WSM) are a new class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral magnetic effect due to inversion symmetry breaking. These unusual electromagnetic…

High Energy Physics - Theory · Physics 2019-05-01 A. Martín-Ruiz , M. Cambiaso , L. F. Urrutia
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