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The error bars in the finite-size DMRG results for the chiral order parameter κ02 in Figs. are crude estimates reflecting only the degree of asymptotic "flatness" of the chiral correlators like shown in Fig. (larger error bars imply that there is still a nonzero slope at large distances). Those error bars are thus just the measure of the strength of proliferation of the boundary effects into the bulk, and do not include any uncertainties related to the finite-size effects.
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