Emergent commensurability from Hilbert space truncation in fractional quantum Hall fluids

@article{Yang2019EmergentCF,
  title={Emergent commensurability from Hilbert space truncation in fractional quantum Hall fluids},
  author={Bohm-Jung Yang},
  journal={Physical Review B},
  year={2019},
  volume={100},
  pages={241302}
}
We show that model states of fractional quantum Hall fluids at all experimentally detected plateaus can be uniquely determined by imposing translational invariance with a particular scheme of Hilbert space truncation. The truncation is based on classical local exclusion conditions, motivated by constraints on physical measurements. The scheme allows us to identify filling factors, topological shifts, and clustering of topological quantum fluids universally without resorting to microscopic… 

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