Quantized topological Hall effect in skyrmion crystal
By Keita Hamamoto, M. Ezawa, N. Nagaosa. 2015
140 citations recorded by the source corpus.
We theoretically study the quantized anomalous Hall effect (QAHE) in skyrmion crystal (SkX) without external magnetic field. The emergent magnetic field in SkX could be gigantic as much as $\sim4000$T when its lattice constant is $\sim1$nm. The band structure is not flat but has a finite gap in the low electron-density regime. We also study the conditions to realize the QAHE for the skyrmion size, carrier density, disorder strength and temperature. Comparing the SkX and the system under the corresponding uniform magnetic field, the former is more fragile against the temperature compared with the latter since the gap is reduced by a factor of $\sim$ 1/5, while they are almost equally robust against the disorder. Therefore, it is expected that the QAHE of SkX system is realized even with strong disorder at room temperature when the electron density of the order of one per a skyrmion.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/d20c976700139e08704b63396f2bcb7f518dc0d3
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Skyrmion-electronics: writing, deleting, reading and processing magnetic skyrmions toward spintronic applications (2019, background): “act, the THE is a manifestation of emergent magnetic field, where the Hall effect occurs in the presence of skyrmions [107, 242, 243, 244]. Moreover, the quantized THE has been theoretically proposed [248]. In 2009, Neubauer et al. [242] experimentally studied the THE of the skyrmion crystal phase i”
- Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles (2020, background): “Consequently, since for small skyrmions the emergent field can be as large as thousands of Tesla, there are theoretical predictions of a quantized version of the topological Hall effect as well, very similar to the quantum Hall effect [82, 83].”