Topological response in ferromagnets

Abstract

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 analytically evaluate the anomalous Hall conductivity as a function of doping, which allows us to explicitly separate the Fermi surface and non Fermi surface contributions to the Hall conductivity by carefully evaluating the zero frequency and zero wavevector limits of the corresponding response function. We show that this separation agrees with the one suggested a long time ago in the context of the quantum Hall effect by Streda.

6 pages, 2 figures, published version

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• Magnetic textures and dynamics in magnetic Weyl semimetals
• Spin and spin current -- From fundamentals to recent progress
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Density response in Weyl metals
• Spin textures and spin-wave excitations in doped Dirac-Weyl semimetals
• Charge pumping induced by magnetic texture dynamics in Weyl semimetals
• Equilibrium currents in chiral systems with non-zero Chern number
• Transport Properties of Dirac Ferromagnet
• Anomalous Hall effect in Weyl superconductors
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Interplay between disorder and inversion symmetry: Extreme enhancement of the mobility near the Weyl point in BiTeI
• Irreducible momentum-space spin structure of Weyl semimetals and its signatures in Friedel oscillations
• Weyl semimetal in ultra-thin film of topological insulator multilayer
• Chiral magnetic conductivity and surface states of Weyl semimetals in topological insulator ultra-thin film multilayer