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  Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions

Göbel, B., Mook, A., Henk, J., & Mertig, I. (2019). Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions. Physical Review B, 99(6): 060406. doi:10.1103/PhysRevB.99.060406.

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PhysRevB.99.060406.pdf (Publisher version), 3MB
 
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https://doi.org/10.1103/PhysRevB.99.060406 (Publisher version)
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 Creators:
Göbel, Börge1, Author              
Mook, Alexander1, Author
Henk, Jürgen2, Author
Mertig, Ingrid1, Author
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1Max Planck Institute of Microstructure Physics, Max Planck Society, ou_2415691              
2External Organizations, ou_persistent22              

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 Abstract: Skyrmions are small magnetic quasiparticles, which are uniquely characterized by their topological charge and their helicity. In this Rapid Communication, we show via calculations how both properties can be determined without relying on real-space imaging. The orbital magnetization and topological Hall conductivity measure the arising magnetization due to the circulation of electrons in the bulk and the occurrence of topologically protected edge channels due to the emergent field of a skyrmion crystal. Both observables quantify the topological Hall effect and distinguish skyrmions from antiskyrmions by sign. Additionally, we predict a magnetoelectric effect in skyrmion crystals, which is the generation of a magnetization (polarization) by application of an electric (magnetic) field. This effect is quantified by spin toroidization and magnetoelectric polarizability. The dependence of the transverse magnetoelectric effect on the skyrmion helicity fits that of the classical toroidal moment of the spin texture and allows one to differentiate skyrmion helicities: It is largest for Bloch skyrmions and zero for Néel skyrmions. We predict distinct features of the four observables that can be used to detect and characterize skyrmions in experiments.

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 Dates: 2019-02-132019-02-01
 Publication Status: Published in print
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 Identifiers: BibTex Citekey: P13770
DOI: 10.1103/PhysRevB.99.060406
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 99 (6) Sequence Number: 060406 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008