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

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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 fluctuaions with system size N is ΔF Nμ with 1/5≤μ<3/10, and very likely μ=15 exactly.