  In order to overcome the limitations of small system sizes in spin-glass
simulations, we investigate the one-dimensional Ising spin chain with power-law
interactions. The model has the advantage over traditional higher-dimensional
Hamiltonians in that a large range of system sizes can be studied. In addition,
the universality class of the model can be changed by tuning the power law
exponent, thus allowing us to scan from the mean-field to long-range and
short-range universality classes. We illustrate the advantages of this model by
studying the nature of the spin glass state where our results hint towards a
replica symmetry breaking scenario. We also compute ground-state energy
distributions and show that mean-field and non-mean-field models are
intrinsically different.
