Classification of gapped symmetric phases in one-dimensional spin systems

@article{Chen2011ClassificationOG,
  title={Classification of gapped symmetric phases in one-dimensional spin systems},
  author={Xie Chen and Zheng-Cheng Gu and Xiao-Gang Wen},
  journal={Physical Review B},
  year={2011},
  volume={83},
  pages={035107}
}
Quantum many-body systems divide into a variety of phases with very different physical properties. The questions of what kinds of phases exist and how to identify them seem hard, especially for strongly interacting systems. Here we make an attempt to answer these questions for gapped interacting quantum spin systems whose ground states are short-range correlated. Based on the local unitary equivalence relation between short-range-correlated states in the same phase, we classify possible quantum… Expand

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It is demonstrated that the classification of spin systems is complete in the sense that there cannot be any additional topological indices pertaining to the properties of individualeigenstates, but there can be additionalTopological indices that further classify Hamiltonians. Expand
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