References

Theory

Magnon makes use of

  • The Holstein-Primakoff transformation [6]

  • Rotated frame approach for the LSWT Hamiltonian [7]

  • General treatment for the diagonalisation of the quadratic boson Hamiltonian [8]

Libraries

Magnon makes use of

  • the Atomic Simulation Environment [10]

  • Spglib [11]

[1]

D.J. Griffiths. Introduction to Electrodynamics. Cambridge University Press, 2018. URL: https://doi.org/10.1017/9781108333511, doi:10.1017/9781108333511.

[2]

D.J. Griffiths. Introduction to Quantum Mechanics. Cambridge University Press, 2018. URL: https://doi.org/10.1017/9781316995433, doi:10.1017/9781316995433.

[3]

S.J. Blundell. Concepts in magnetism. Springer Proceedings in Physics, 262:39–62, 2021. URL: https://doi.org/10.1007/978-3-030-64623-3_2, doi:10.1007/978-3-030-64623-3_2.

[4]

Eugenio Coronado, Pierre Delhaès, Dante Gatteschi, and Joel S. Miller, editors. Molecular Magnetism: From Molecular Assemblies to the Devices. Springer Netherlands, Dordrecht, 1996. ISBN 978-90-481-4724-3 978-94-017-2319-0. URL: http://link.springer.com/10.1007/978-94-017-2319-0 (visited on 2025-07-22), doi:10.1007/978-94-017-2319-0.

[5]

Alexei Kitaev. Anyons in an exactly solved model and beyond. Annals of Physics, 321(1):2–111, 2006. January Special Issue. URL: https://www.sciencedirect.com/science/article/pii/S0003491605002381, doi:https://doi.org/10.1016/j.aop.2005.10.005.

[6]

T. Holstein and H. Primakoff. Field dependence of the intrinsic domain magnetization of a ferromagnet. Phys. Rev., 58:1098–1113, 1940. URL: https://doi.org/10.1103/PhysRev.58.1098, doi:10.1103/PhysRev.58.1098.

[7]

S. Toth and B. Lake. Linear spin wave theory for single-q incommensurate magnetic structures. J. Phys. Condens. Matter, 27:166002, 2015. doi:10.1088/0953-8984/27/16/166002.

[8]

J.H.P. Colpa. Diagonalization of the quadratic boson hamiltonian. Physica A: Statistical Mechanics and its Applications, 93(1-2):327–353, 1978. URL: https://doi.org/10.1016/0378-4371(78)90160-7, doi:10.1016/0378-4371(78)90160-7.

[9]

Matthias Gohlke, Alberto Corticelli, Roderich Moessner, Paul A. McClarty, and Alexander Mook. Spurious symmetry enhancement in linear spin wave theory and interaction-induced topology in magnons. Phys. Rev. Lett., 131:186702, Oct 2023. URL: https://link.aps.org/doi/10.1103/PhysRevLett.131.186702, doi:10.1103/PhysRevLett.131.186702.

[10]

A.H. Larsen, J.J. Mortensen, J. Blomqvist, I.E. Castelli, R. Christensen, M. Dułak, J. Friis, M.N. Groves, B. Hammer, C. Hargus, E.D. Hermes, P.C. Jennings, P.B. Jensen, J. Kermode, J.R. Kitchin, E.L. Kolsbjerg, J. Kubal, K. Kaasbjerg, S. Lysgaard, J.B. Maronsson, T. Maxson, T. Olsen, L. Pastewka, A. Peterson, C. Rostgaard, J. Schiøtz, O. Schütt, M. Strange, K.S. Thygesen, T. Vegge, L. Vilhelmsen, M. Walter, Z. Zeng, and K.W. Jacobsen. The atomic simulation environment—a python library for working with atoms. J. Phys.: Condens. Matter, 29(27):273002, 2017. doi:10.1088/1361-648X/aa680e.

[11]

A. Togo, K. Shinohara, and I. Tanaka. Spglib: a library for finding and handling crystal symmetries. Sci. Technol. Adv. Mater.: Methods, 4:2384822–2384836, 2024. doi:10.1080/27660400.2024.2384822.

[12]

R. W. Grosse-Kunstleve and P. D. Adams. Algorithms for deriving crystallographic space-group information. II. Treatment of special positions. Acta Crystallographica Section A, 58(1):60–65, Jan 2002. URL: https://doi.org/10.1107/S0108767301016658, doi:10.1107/S0108767301016658.