Model Fractional Quantum Hall States on Lattices: Exact Parent Hamiltonians and Routes to Realization

arXiv:2609.25585 · cond-mat.str-el, cond-mat.mes-hall, cond-mat.quant-gas · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, cond-mat.quant-gas

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Benchmark — 27× in this paper · explained in 2 episodes
• Entanglement — 17× in this paper · explained in 3 episodes
• Clustering — 14× in this paper · explained in 2 episodes
• Supplemental Material — 4× in this paper
• Topological Order — 4× in this paper · explained in 2 episodes
• Chern Number — 3× in this paper · explained in 4 episodes
• Core — 2× in this paper · explained in 2 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• A Pfaffian quantum Hall state of ultracold bosons
• Generalized Model Fractional Quantum Hall States on Lattices
• Quantum-Geometric Design of Lattice Generalized Landau Levels

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