Temperature chaos in a replica-symmetry-broken spin glass model—A hierarchical model with temperature chaos

Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so-called scaling theory of spin glasses, while it seems to be absent in mean-field models. We consider a model spin glass on a tree and show that although it has mean-field behavior with replica symmetry breaking, it manifestly has “strong” temperature chaos. We also show why chaos appears only very slowly with system size.