Published November 22, 2022
| Version v1
Journal article
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Gauge theory applied to magnetic lattices
- 1. Istituto Nazionale di Ricerca Metrologica - Strada delle Cacce, 91, 10135 Torino, Italy and Politecnico di Torino - Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
- 2. Istituto Nazionale di Ricerca Metrologica - Strada delle Cacce, 91, 10135 Torino, Italy
Description
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.
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