Fig. 4: Properties of the ground-state of the spin 1/2 XXZ Hamiltonian on the graph where each site has a degree ZV drawn from \({{{{{{{\mathcal{U}}}}}}}}(L/4,3L/4)\), the uniform discrete distribution over the interval [L/4, 3L/4]. | Nature Communications

Fig. 4: Properties of the ground-state of the spin 1/2 XXZ Hamiltonian on the graph where each site has a degree ZV drawn from \({{{{{{{\mathcal{U}}}}}}}}(L/4,3L/4)\), the uniform discrete distribution over the interval [L/4, 3L/4].

From: Quantum physics in connected worlds

Fig. 4

Graph schematic alongside adjacency matrix for L = 100 is provided. a–c Average energy density, anti-ferromagnetic order CAFM and XY order CXY versus Δ for graphs drawn n times from the ensemble. Power-law curves have been fitted to the XY and AFM orders for Δ > 2 and marked in green. d–f Variance of the corresponding upper observables. We used n = 100, 100 and 10 for L = 20, 40 and 100, respectively.

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