• Corpus ID: 244527244

Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality

@inproceedings{Ye2021TopologicalCO,
  title={Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality},
  author={Weicheng Ye and Meng Guo and Yin-chen He and Chong Wang and Liujun Zou},
  year={2021}
}
Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility problem, i.e. whether a quantum phase or phase transition can emerge in a many-body system. We derive the topological partition functions that characterize the LSM constraints in spin systems with $G_s\times G_{int}$ symmetry, where $G_s$ is an arbitrary space group in one or two spatial dimensions, and $G_{int}$ is any internal symmetry whose projective representations are classified by $\mathbb{Z}_2^k$ with $k… 

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