Volume 140, Number 4, November 2022
|Number of page(s)||7|
|Section||Condensed matter and materials physics|
|Published online||22 November 2022|
Gauge theory applied to magnetic lattices
1 Istituto Nazionale di Ricerca Metrologica - Strada delle Cacce, 91, 10135 Torino, Italy
2 Politecnico di Torino - Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
(a) E-mail: email@example.com (corresponding author)
Received: 8 September 2022
Accepted: 7 November 2022
The generalizations of micromagnetic exchange including higher order interactions are normally performed phenomenologically. In this paper we combine graph and gauge field theory to provide a new procedure to perform the continuum limit of the Heisenberg model. Our approach allows to simultaneously account for the symmetries of the crystal, the effect of spin-orbit coupling and their interplay. We obtain a micromagnetic theory accounting for the crystal symmetry constraints at all orders in exchange. The form of the micromagnetic Dzyaloshinskii-Moriya interaction in all 32 point groups is calculated at the first order.
© 2022 The author(s)
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