Exact ground states exist for the bosonic Hubbard model on this 3D flat-band lattice up to critical filling, with subextensive entropy at that density due to combinatorial constraints from 4-cycle decompositions.
Bose-Hubbard model on two-dimensional line graphs
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The bosonic Hubbard model on a three dimensional flat band lattice
Exact ground states exist for the bosonic Hubbard model on this 3D flat-band lattice up to critical filling, with subextensive entropy at that density due to combinatorial constraints from 4-cycle decompositions.