Temperature chaos in two-dimensional Ising spin glasses with binary couplings: a further case for universality

We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings by means of an exact computation of the partition functions for large systems. We study two temperature correlators derived from the total free energy and from the domain wall free energy; in the second case we detect a chaotic behaviour. We determine and discuss the chaos exponent and the fractal dimension of the domain walls.