Abstract
This chapter deals with a number of themes that are useful to know, but which are not necessarily correlated with one another. Some of these topics are concerned with exploring the technological potential of “engineering” skyrmions through nucleation and tunneling processes. Several physical mechanisms capable of nucleating individual skyrmions are considered, ranging from electrical currents to optical beams.
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Notes
- 1.
In this section, we use \(\alpha , \beta \) to refer to spacetime indices, and \(\mu , \nu , \lambda \) to refer to space indices.
- 2.
We write the time derivative as \(\partial _0\), \(\partial _t\), or with a dot over the object such as \(\dot{\mathbf{n}}\), as the aesthetics of the equation at hand dictates. The temporal component of the tensor will be denoted by 0 or t.
- 3.
The modification of the continuity equation for the topological density to include electronic coupling does not appear to have been discussed in the literature. The author derived the following modified continuity equation during the writing of this book and bears sole responsibility for its validity.
- 4.
The tunneling calculations presented here were done in collaboration with Sang-Jin Lee and Eun-Gook Moon.
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Han, J.H. (2017). Miscellaneous Topics. In: Skyrmions in Condensed Matter. Springer Tracts in Modern Physics, vol 278. Springer, Cham. https://doi.org/10.1007/978-3-319-69246-3_7
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DOI: https://doi.org/10.1007/978-3-319-69246-3_7
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