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

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We present the first systematic study of the filling constraints to realize a `trivial' insulator symmetric under magnetic space group $\mathcal{M}$. The filling $\nu$ must be an integer multiple of… Click to show full 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 $\nu$ 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.

Keywords: space; schultz mattis; filling constraints; lieb schultz; magnetic space; space groups

Journal Title: Physical Review B
Year Published: 2018

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