Quantized six-vertex realizations of frustration graphs

Abstract:A recent graph-theoretic criterion for a Hamiltonian to exhibit a free-parafermion spectrum is that its frustration graph be an indifference graph. We show that an arbitrary finite indifference graph can be realized as a frustration graph of the quantized six-vertex model at odd roots of unity, by a suitable choice of the defining wiring diagram and parameters. This provides a concrete realization of the criterion through the quantum Frobenius property of the quantized six-vertex model, recently established from its three-dimensional integrable structure.

Mathematical Physics (math-ph); Combinatorics (math.CO); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

arXiv:2610.20166 [math-ph]

(or arXiv:2610.20166v1 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2610.20166 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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