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Related papers: Topological response in ferromagnets

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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

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

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 point out that, contrary to an assertion by Chen, Bergman and Burkov [Phys. Rev. B 88, 125110 (2013)], the non-quantized part of the intrinsic anomalous Hall conductivity can indeed be expressed as a Fermi-surface property even when Weyl…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 David Vanderbilt , Ivo Souza , F. D. M. Haldane

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

We study the anomalous Nernst and thermal Hall effects in a linearized low-energy model of a tilted Weyl semimetal, with two Weyl nodes separated in momentum space. For inversion symmetric tilt, we give analytic expressions in two opposite…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yago Ferreiros , A. A. Zyuzin , Jens H. Bardarson

We investigate the electric and thermal transport properties in a disordered Weyl ferromagnet on an equal footing by using the Keldysh formalism in curved spacetime. In particular, we calculate the anomalous thermal Hall conductivity, which…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 Atsuo Shitade

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

We study the ac anomalous Hall conductivity $\sigma_{xy}(\omega)$ of a Weyl semimetal with broken time-reversal symmetry. Even in the absence of free carriers these materials exhibit a "universal" anomalous Hall response determined solely…

Mesoscale and Nanoscale Physics · Physics 2017-09-04 J. F. Steiner , A. V. Andreev , D. A. Pesin

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semi-quantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 A. A. Zyuzin , A. A. Burkov

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

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Jiong-Hao Wang , Yong Xu

We theoretically study the interplay between bulk Weyl electrons and magnetic topological defects, including magnetic domains, domain walls, and $\mathbb{Z}_6$ vortex lines, in the antiferromagnetic Weyl semimetals \mnsn\ and Mn$_3$Ge with…

Mesoscale and Nanoscale Physics · Physics 2017-08-30 Jianpeng Liu , Leon Balents

Based on high-throughput first-principles calculations, we evaluated the anomalous Hall and anomalous Nernst conductivities of 266 transition-metal-based ferromagnetic compounds. Detailed analysis based on the symmetries and Berry…

Materials Science · Physics 2021-12-08 Ilias Samathrakis , Teng Long , Zeying Zhang , Harish K. Singh , Hongbin Zhang

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 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

Topological materials are expected to show distinct transport signatures due to their unique band-inversion character and band-crossing points. However, the intentional modulation of such topological responses by experimentally feasible…

Materials Science · Physics 2020-08-26 Jianlei Shen , Qiushi Yao , Qingqi Zeng , Hongyi Sun , Xuekui Xi , Guangheng Wu , Wenhong Wang , Qihang Liu , Enke Liu

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

We extend our previous analysis [Phys. Rev. D 109, 065005 (2024)] of CPT-odd electromagnetic response in tilted, anisotropic Weyl semimetals to the overtilted (type-II) regime, where electron and hole pockets coexist at the Fermi level.…

High Energy Physics - Theory · Physics 2026-05-21 R. Martínez von Dossow , A. Martín-Ruiz , Luis F. Urrutia

Weyl semimetals (WSMs) are three-dimensional topological materials that exhibit fascinating properties due to the presence of Weyl nodes in their band structure. However, existing WSMs discovered so far often possess multiple pairs of Weyl…

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