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arXiv · 1802.00587

The Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups

Haruki Watanabe
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Abstract

We present the first systematic study of the filling constraints to realize a `trivial' insulator symmetric under magnetic space group $\mathcal{M}$. The filling $ν$ must be an integer multiple of $m^{\mathcal{M}}$ to avoid spontaneous symmetry breaking or fractionalization in gapped phases. We improve the value of $m^{\mathcal{M}}$ in the literature and prove the tightness of the constraint for the majority of magnetic space groups. The result may shed light on the material search of exotic magnets with fractionalization.

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Haruki Watanabe. 2018-04-07. The Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups. https://doi.org/10.1103/physrevb.97.165117

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