• Corpus ID: 246822895

The Lieb-Schultz-Mattis Theorem: A Topological Point of View

  title={The Lieb-Schultz-Mattis Theorem: A Topological Point of View},
  author={Hal Tasaki},
  • H. Tasaki
  • Published 13 February 2022
  • Mathematics
We review the Lieb-Schultz-Mattis theorem and its variants, which are no-go theorems that state that a quantum many-body system with certain conditions cannot have a locally-unique gapped ground state. We restrict ourselves to one-dimensional quantum spin systems and discuss both the generalized Lieb-Schultz-Mattis theorem for models with U(1) symmetry and the extended Lieb-Schultz-Mattis theorem for models with discrete symmetry. We also discuss the implication of the same arguments to systems… 

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