Four-dimensional Ising spin glass: scaling within the spin-glass phase

We investigate the nature of the spin-glass phase in the four-dimensional Ising spin glass. We study the probability distributions of overlaps, of energy overlaps and ultrametricity for several sizes. We discover the existence of finite-size scaling in the tails of the first and second of these. This allows us to extract some exponents within the spin-glass phase. We also perform studies on quenched thermalization of large samples. Our results together with previous work favour the mean-field picture of the spin-glass phase.