On Ground State Degeneracy of Z2 Symmetric Quantum Spin Models

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We consider a class of Z2 symmetric quantum spin Hamiltonians. Anisotropic spin 1/2 Heisenberg models are typical examples. Proof of groound state degeneracy (Z2 symmetry breaking), construction of pure gournd states are given in a systematic way.

Original languageEnglish
Pages (from-to)657-679
Number of pages23
JournalPublications of the Research Institute for Mathematical Sciences
Issue number4
Publication statusPublished - 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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