Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices

@article{Shpani2020PermutationCO,
  title={Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices},
  author={Liana Shpani and Fabio Lingua and Wei Wang and Barbara Capogrosso-Sansone},
  journal={Physical Review B},
  year={2020}
}
In this paper, we study the statistics of permutation cycles of ground-state hardcore lattice bosons described by various two-dimensional Bose-Hubbard-type models on both square and Kagome lattices. We find that it is possible to differentiate quantum phases by the statistics of permutations cycles. Indeed, features in the permutation cycles statistics can be used to uniquely identify certain insulating phases, and are consistent with local resonances of occupation numbers in the ground-state… 
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