Fig. 3: Studying the spectra of even excitations at the critical point.
From: The quantum transition of the two-dimensional Ising spin glass
a, Sample-averaged subtracted correlation function Q2,s(τ) (‘Fitting process and estimating the Euclidean correlation length’ in Methods) becomes compatible with zero for moderate values of τ, for all our system sizes. b, Left, after computing the Euclidean correlation length \({\eta }_{{\rm{e}}}^{(s)}\) for each sample, we computed for each L the empirical distribution function F(ηe), namely the probability F of finding a sample with \({\eta }_{{\rm{e}}}^{(s)} < {\eta }_{{\rm{e}}}\) (note the horizontal error bars). Right, the data in the left-hand panel of b, when plotted as a function of the scaling variable u (equation (4)) do not show any L residual L dependence other than for our smallest sizes L = 8 and 12. Points in a and b are statistical averages, and errors are one standard deviation. Our data set is fully described in Extended Data Table 1.
