Sample-to-sample fluctuations and bond chaos in the m -component spin glass

We calculate the finite-size scaling of the sample-to-sample fluctuations of the free energy ΔF of the m component vector spin glass in the large-m limit. This is accomplished using a variant of the interpolating Hamiltonian technique which is used to establish a connection between the free energy fluctuations and bond chaos. The calculation of bond chaos then shows that the scaling of the free-energy fluctuations with system size N is ΔF~N^μ with 1/5≤μ≤3/10, and very likely μ=1/5 exactly.