Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet
By S. Yi, S. Onoda, N. Nagaosa, J. Han. 2009
260 citations recorded by the source corpus.
Monte Carlo simulation study of a classical spin model with Dzylosinskii-Moriya interaction and the spin anisotropy under the magnetic field is presented. We found a rich phase diagram containing the multiple spin spiral (or skyrme crystal) phases of square, rectangular, and hexagonal symmetries in addition to the spiral spin state. The Hall conductivity $\sigma_{xy}$ is calculated within the $sd$ model for each of the phases. While $\sigma_{xy}$ is zero in the absence of external magnetic field, applying a field strength $H$ larger than a threshold value $H_c$ leads to the simultaneous onset of nonzero chirality and Hall conductivity. We find $H_c = 0$ for the multiple spin spiral states, but $H_c > 0$ for a single spin spiral state regardless of the field orientation. Relevance of the present results to MnSi is discussed.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/154e6c8bce68fb2eebb247dbf82a724712266b4a
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Citations in the corpus
- Near room-temperature formation of a skyrmion crystal in thin-films of the helimagnet FeGe. (2011, background): “The skyrmion density in real space ( n Sk ) is a topological index corresponding to the gauge field (fictitious magnetic field) flux ( ∼2 n Sk Φ 0 ,Φ 0 being the flux quantum); it influences the quantum motion of the electrons as a background field and is highly relevant to magnetic transp”
- Skyrmions in magnetic multilayers (2017, background): “For example, the relation between skyrmion and Hall transport in DMI magnets can be very complex [71, 97] for which the Onsager reciprocal relation might be worthy of investigation in the future [98].”