Spin textures and spin-wave excitations in doped Dirac-Weyl semimetals

Abstract

We study correlations and magnetic textures of localized spins, doped in three-dimensional Dirac semimetals. An effective field theory for magnetic moments is constructed by integrating out the fermionic degrees of freedom. The spin correlation shows a strong anisotropy, originating from spin-momentum locking of Dirac electrons, in addition to the conventional Heisenberg-like ferromagnetic correlation. The anisotropic spin correlation allows topologically nontrivial magnetic excitation textures such as a transient hedgehog state, as well as the ferromagnetic ground state. The spin-wave dispersion in ferromagnetic Weyl semimetal also becomes anisotropic, being less dispersed perpendicular to the magnetization.

5 pages, 3 figures + 9 pages of Supplemental Material

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Cited by in corpus (16)

• Weyl Metals
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Designer curved-space geometry for relativistic fermions in Weyl metamaterials
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
• Charge pumping induced by magnetic texture dynamics in Weyl semimetals
• Localized charge in various configurations of magnetic domain wall in Weyl semimetal
• Spin-dependent transport through a Weyl semimetal surface
• Multiple magnon modes in the Co${}_3$Sn${}_2$S${}_2$ Weyl semimetal candidate
• Diluted magnetic Dirac-Weyl materials: Susceptibility and ferromagnetism in three-dimensional chiral gapless semimetals
• Incommensurate magnetism mediated by Weyl fermions in NdAlSi
• Antiferromagnetism and spin density waves in 3D Dirac semimetals
• Collective excitations in magnetic topological insulators and axion dark matter search
• Spin-valve effect for spin-polarized surface states in topological semimetals