Source code supplement for "Topological magnon band structure of emergent Landau levels in a skyrmion lattice"

Skyrmion, conical, and field-polarised magnon dynamics in MnSi Description This is the supplementary source code to our paper, Topological magnon band structure of emergent Landau levels in a skyrmion lattice. (The complementary data supplement can be found here.) The code contains a Takin plugin module and its helper tools. The module calculates the dispersion relations and the dynamical structure factor for the conical, the field-polarised, and the skyrmion phase of MnSi. The development repository can be found here: https://code.ill.fr/scientific-software/takin/plugins/mnsi. Videos comparing the skyrmion and conical dispersion relations are available here: https://youtu.be/CuoA6sIM2oM, https://youtu.be/n3Pvjo7iNHE. Dependencies The Takin software and the tlibs libraries are needed for compilation. Their repositories are available here: Stable releases: https://github.com/t-weber/takin2 Development versions: https://code.ill.fr/scientific-software/takin Binary releases: https://wiki.mlz-garching.de/takin DOIs: Takin 2: 10.5281/zenodo.4117437, tlibs 2: 10.5281/zenodo.5717779, old Takin 1 and tlibs 1: 10.5281/zenodo.3961491. Setup Download the external dependencies: cd ext && ./setup_externals.sh && cd ... The ext/ directory should now contain the source code of the external libraries. Build the module: make -j4. Copy the built plugin modules to Takin's plugin directory: mkdir -pv ~/.takin/plugins/ && cp -v lib/*.so ~/.takin/plugins/ The helper tools can be found in the bin/ directory. References and Acknowledgements This source code is based on theoretical magnon dispersion models and their Mathematica implementations by M. Garst and J. Waizner, see these references and our papers below: M. Garst and J. Waizner, Skyrmion linear spin-wave theory and Mathematica implementation, personal communications (2017-2020). M. Garst and J. Waizner, Helimagnon linear spin-wave model and Mathematica implementation, personal communications (2014-2019). M. Garst and J. Waizner, Field-polarised linear spin-wave model and Mathematica implementation, personal communications (2016-2019). M. Garst, J. Waizner, and D. Grundler, J. Phys. D: Appl. Phys. 50 293002, https://doi.org/10.1088/1361-6463/aa7573 (2017). J. Waizner, PhD thesis, Universität zu Köln, https://kups.ub.uni-koeln.de/7937/ (2017). Furthermore, the present source code is based on optimised Python implementations by M. Kugler and G. Brandl of early versions of the theoretical models mentioned above; it started as a translation of the following Python codes into C++: G. Brandl and M. Kugler, Helimagnon implementation in Python, personal communications (2015-2016). M. Kugler, G. Brandl, J. Waizner, M. Janoschek, R. Georgii, A. Bauer, K. Seemann, A. Rosch, C. Pfleiderer, P. Böni, and M. Garst, Phys. Rev. Lett. 115, 097203, https://doi.org/10.1103/PhysRevLett.115.097203 (2015). M. Kugler and G. Brandl, Skyrmion spin-wave implementation in Python, personal communication (2016). The following alternate Python implementations of the skyrmion spin-wave model exist: D. Fobes, Implementation in Python, personal communication (2016). L. Beddrich, Implementation in Python, https://github.com/LukasBeddrich/skyrmion-model (2017). The helimagnon and ferromagnetic parts of this code have been used in the following papers: T. Weber, J. Waizner, P. Steffens, A. Bauer, C. Pfleiderer, M. Garst, and P. Böni, Phys. Rev. B 100, 060404(R), https://doi.org/10.1103/PhysRevB.100.060404 (2019). T. Weber, J. Waizner, G. S. Tucker, R. Georgii, M. Kugler, A. Bauer, C. Pfleiderer, M. Garst, and P. Böni, Phys. Rev. B 97, 224403, https://doi.org/10.1103/PhysRevB.97.224403 (2018). T. Weber, J. Waizner, G. S. Tucker, L. Beddrich, M. Skoulatos, R. Georgii, A. Bauer, C. Pfleiderer, M. Garst, and P. Böni, AIP Advances 8, 101328, https://doi.org/10.1063/1.5041036 (2018). Completion of dependencies and Docker build info: N. Garofil, Universiteit Antwerpen.Please cite using the DOI 10.5281/zenodo.5718363