1. Finite temperature fluctuation-induced order and responses in magnetic topological insulators
- Author
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Scholten, Marius, Facio, Jorge I., Ray, Rajyavardhan, Eremin, Ilya M., Brink, Jeroen van den, and Nogueira, Flavio S.
- Subjects
High Energy Physics - Theory ,Condensed Matter - Strongly Correlated Electrons ,Strongly Correlated Electrons (cond-mat.str-el) ,High Energy Physics - Theory (hep-th) ,Condensed Matter - Mesoscale and Nanoscale Physics ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,FOS: Physical sciences ,Condensed Matter::Strongly Correlated Electrons ,field theory ,magnetic topological insulators ,density functional theory ,Monte Carlo simulation - Abstract
We derive an effective field theory model for magnetic topological insulators and predict that a magnetic electronic gap persists on the surface for temperatures above the ordering temperature of the bulk. Our analysis also applies to interfaces of heterostructures consisting of a ferromagnetic and a topological insulator. In order to make quantitative predictions for MnBi$_2$Te$_4$, and for EuS-Bi$_2$Se$_3$ heterostructures, we combine the effective field theory method with density functional theory and Monte Carlo simulations. For MnBi$_2$Te$_4$ we predict an upwards N\'eel temperature shift at the surface up to $15 \%$, while the EuS-Bi$_2$Se$_3$ interface exhibits a smaller relative shift. The effective theory also predicts induced Dzyaloshinskii-Moriya interactions and a topological magnetoelectric effect, both of which feature a finite temperature and chemical potential dependence., Comment: v2: published version, LaTeX 15 pages, 5 figures
- Published
- 2021
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