High-temperature series expansions for random-bond Potts models on

Abstract

Abstract 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.