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Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
J. Classen-Howes, P. Fendley, A. Pandey, S. A. Parameswaran
https://arxiv.org/abs/2403.15270 https:…

Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
We introduce an SU(M)-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye model, it has several markedly different properties for M>2. In particular, it has a large non-trivial nullspace whose dimension grows exponentially with system size. The states in this nullspace are frustration-free, and are ground states when the interactions are ferromagnetic. The exponential growth of the nullspace leads to Hilbert-space fragmentatio…

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