In the large-n limit of the O(n) model on graphs, free energy at low T is governed by the Laplacian spectrum and at high T by the adjacency spectrum.
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In the large-N limit of the quantum O(N) model, post-quench entanglement entropy shows logarithmic corrections and gapless modes at and below the dynamical critical point, with scaling set by the dynamical exponent.
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From Laplacian-to-Adjacency Matrix for Continuous Spins on Graphs
In the large-n limit of the O(n) model on graphs, free energy at low T is governed by the Laplacian spectrum and at high T by the adjacency spectrum.
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Entanglement entropy across the dynamical phase transition in the quantum $\mathcal{O}(N)$ model
In the large-N limit of the quantum O(N) model, post-quench entanglement entropy shows logarithmic corrections and gapless modes at and below the dynamical critical point, with scaling set by the dynamical exponent.