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Published on: April 12, 2019
Fluctuation-induced magnetization dynamics and criticality at the interface of a topological insulator with a
Flavio S Nogueira1, Ilya Eremin
1Institut für Theoretische Physik III, Ruhr-Universität Bochum, Universitätsstrasse 150, 44801 Bochum, Germany.
Abstract:
We consider a theory for a two-dimensional interacting conduction electron system with strong spin-orbit coupling on the interface between a topological insulator and the magnetic (ferromagnetic or antiferromagnetic) layer. For the ferromagnetic case we derive the Landau-Lifshitz equation, which features a contribution proportional to a fluctuation-induced electric field obtained by computing the topological (Chern-Simons) contribution from the vacuum polarization. We also show that fermionic quantum fluctuations reduce the critical temperature T[over ˜](c) at the interface relative to the critical temperature T(c) of the bulk, so that in the interval T[over ˜](c)≤T
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