2018
DOI: 10.1103/physrevb.98.045302
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Localized charge in various configurations of magnetic domain wall in a Weyl semimetal

Abstract: We numerically investigate the electronic properties of magnetic domain walls formed in a Weyl semimetal. Electric charge distribution is computed from the electron wave functions, by numerically diagonalizing the Hamiltonian under several types of domain walls. We find a certain amount of electric charge localized around the domain wall, depending on the texture of the domain wall. This localized charge stems from the degeneracy of Landau states under the axial magnetic field, which corresponds to the curl in… Show more

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Cited by 16 publications
(18 citation statements)
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“…In past work, a localized charge at the domain wall in magnetic Weyl semimetals has been theoretically proposed 28,29 . The origin of the localized charge is understood as the enhanced density of states by Landau-level degeneracy owing to the axial magnetic field.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…In past work, a localized charge at the domain wall in magnetic Weyl semimetals has been theoretically proposed 28,29 . The origin of the localized charge is understood as the enhanced density of states by Landau-level degeneracy owing to the axial magnetic field.…”
Section: Resultsmentioning
confidence: 99%
“…It was proposed that magnetic textures in Weyl semimetals retain a localized electric charge 28,29 , and that more efficient electrical manipulation of the magnetic texture is possible in Weyl semimetals than in conventional ferromagnetic metals owing to the strong correlation between magnetic texture and charge degrees of freedom. The dynamics of magnetic textures are driven by electrically-induced spin torques which consist of adiabatic and non-adiabatic spin-transfer torques in conventional ferromagnetic metals.…”
Section: Introductionmentioning
confidence: 99%
“…In particular, even in the absence of the realistic magnetic field B , the axial magnetic flux B 5 ( r ) from a magnetic texture leads to the localized charge, with its density truerightρB(r)=e22π2μvnormalF|bold-italicB5false(bold-italicrfalse)|at the magnetic texture . This localized charge is explicitly derived under a 1D domain wall in terms of the Fermi arc modes localized at the boundary; see Section for details. Although the spatially localized charge in metallic regime is inevitably screened once we consider the Coulomb interaction, the screening effect is smaller than that in normal metals, since the density of states in topological semimetals becomes small around the band crossing points…”
Section: Weyl Semimetal and Magnetic Texturesmentioning
confidence: 99%
“…Therefore, although the Weyl electrons cannot be transmitted through a sharp magnetic texture, as the valleys are shifted in momentum space in accordance with the magnetization, this spin torque is still present and drives a motion of the magnetic texture. This effect can also be regarded macroscopically as the electric driving of the localized charge ρB shown above attached to the magnetic texture …”
Section: Weyl Semimetal and Magnetic Texturesmentioning
confidence: 99%
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