Electric transport in three-dimensional Skyrmion/monopole crystal
arXiv:1608.05902 · doi:10.1103/PhysRevB.94.174428
Abstract
We study theoretically the transport properties of a three-dimensional spin texture made from three orthogonal helices, which is essentially a lattice of monopole-antimonopole pairs connected by Skyrmion strings. This spin structure is proposed for MnGe based on the neutron scattering experiment as well as the Lorentz transmission electron microscopy observation. Equipped with a sophisticated spectral analysis method, we adopt finite temperature Green's function technique to calculate the longitudinal dc electric transport in such system. We consider conduction electrons interacting with spin waves of the topologically nontrivial spin texture, wherein fluctuations of monopolar emergent magnetic field enter. We study in detail the behavior of electric resistivity under the influence of temperature, external magnetic field and a characteristic monopole motion, especially a novel magnetoresistivity effect describing the latest experimental observations in MnGe, wherein a topological phase transition signifying strong correlation is identified.
arXiv commentpublished version
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- Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
- Magnetic hedgehog lattices in noncentrosymmetric metals
- Homogeneous and heterogeneous nucleation of skyrmions in thin layers of cubic helimagnets
- B-T phase diagram of Pd/Fe/Ir(111) computed with parallel tempering Monte Carlo
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- Phase degree of freedom and topology in multiple- spin textures
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- Hydrodynamics of three-dimensional skyrmions in frustrated magnets
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