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cond-mat.stat-mech2021
Order, Disorder, and Transitions in Decorated AKLT States on Bethe Lattices
Nicholas Pomata
Returning to one of the original generalizations of the AKLT state, we extend prior analysis on the Bethe lattice (or Cayley tree) to a variant with a series of spin-1 decorati…
cond-mat.stat-mech2019★ 39 cited
Demonstrating the AKLT spectral gap on 2D degree-3 lattices
Nicholas Pomata, Tzu-Chieh Wei
We establish that the spin-3/2 AKLT model on the honeycomb has a nonzero spectral gap. We use the relation between the anticommutator of two projectors and their sum, and apply it…