High-temperature series expansions for random-bond Potts models on Zd Original Research Article

We use a star-graph expansion technique to compute high-temperature series for the free energy and susceptibility of random-bond q-state Potts models on hypercubic lattices. This method allows us to calculate quenched disorder averages for arbitrary uncorrelated coupling distributions. Moreover, we can keep the disorder strength p as well as the dimension d as symbolic parameters. This enables scans over large regions of the (p,d) parameter space for any value of q. For the bond-diluted Ising model (q=2) in three dimensions we present first results for the critical temperature and exponent γ obtained from the analysis of susceptibility series up to order 19.