Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 370, Issue 1981, Pages 5806-5819Publisher
ROYAL SOC
DOI: 10.1098/rsta.2011.0405
Keywords
magnetism; monopoles; skyrmions
Categories
Funding
- Ministry of Education, Culture, Sports, Science and Technology, Japan [19048015, 19048008, 21244053]
- Japan Science and Technology Agency
- Funding Programme for World-Leading Innovative R and D on Science and Technology (FIRST Program) D
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Electronic states in magnets are characterized by the quantum mechanical Berry phase defined in both the real and momentum spaces. This Berry phase constitutes the gauge fields, i.e. the emergent electromagnetic fields in solids, and affects the motion of the electrons. In momentum space, the band crossings act as the magnetic monopoles, i.e. the sources or sinks of the gauge flux. In real space, the spin textures with non-coplanar spin configurations produce the gauge field by the solid angle leading to the spin chirality. Skyrmion is the representative structure supporting this gauge field. A typical phenomenon reflecting this gauge field is the anomalous Hall effect, i.e. the Hall effect produced by the spontaneous magnetization combined with the relativistic spin-orbit interaction. We discuss a few examples recently studied related to these issues with some new results on skyrmion formation.
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