A Graph-Theoretic Framework for Free-Parafermion Solvability
Aug 18, 2024Citations per year
Abstract: (arXiv)
We show that a quantum spin system has an exact free-parafermion solution if its frustration graph is an oriented indifference graph. Further, we show that if the frustration graph of a model can be dipath oriented via switching operations, then the model is integrable in the sense that there is a family of commuting independent set charges. Additionally, we establish an efficient algorithm for deciding whether this is possible. Our characterisation extends that given for free-fermion solvability. Finally, we apply our results to solve three qudit spin models.Note:
- 22 pages, 2 figures
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