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

Abstract

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 $ΔF \sim N^μ$ with ${1/5}\leqμ<{3/10}$, and very likely $μ={1}{5}$ exactly.

12 pages, 1 figure