Heat percolation in many-body flat-band localizing systems

@article{Vakulchyk2021HeatPI,
  title={Heat percolation in many-body flat-band localizing systems},
  author={Ihor Vakulchyk and Carlo Danieli and Alexei Andreanov and Sergej Flach},
  journal={Physical Review B},
  year={2021}
}
Translationally invariant finetuned single-particle lattice Hamiltonians host flat bands only. Suitable short-range many-body interactions result in complete suppression of particle transport due to local constraints and Many-Body Flatband Localization. Heat can still flow between spatially locked charges. We show that heat transport is forbidden in dimension one. In higher dimensions heat transport can be unlocked by tuning filling fractions across a percolation transition for suitable lattice… 
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