Collinear antiferromagnetic order alone can produce momentum-dependent spin splitting without atomic spin-orbit coupling when the magnetic pattern and the inter-site hopping share the same symmetry representation.
Quantum Anomalous Hall Effect through Canted Antiferromagnetism
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abstract
Most canted antiferromagnets are also anomalous Hall antiferromagnets (AHE AFMs), i.e. they have an anomalous Hall response and other responses with the same symmetry requirements. We suggest that AHE AFMs are promising materials as hosts for high-temperature quantum anomalous Hall effects. By considering models of two-dimensional (001) perovskite layers with strong spin-orbit coupling that isolates an effective total angular momentum $\tilde{j}= \frac{1}{2}$ subspace of the $t_{2g}$ manifold, we propose a strategy to engineering quantum anomalous Hall antiferromagnets.
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Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
Collinear antiferromagnetic order alone can produce momentum-dependent spin splitting without atomic spin-orbit coupling when the magnetic pattern and the inter-site hopping share the same symmetry representation.