EFFECTIVE-FIELD RENORMALIZATION-GROUP METHOD FOR ISING SYSTEMS

A new applicable effective-field renormalization-group (ERFG) sheme for computing critical properties of Ising spins systems is proposed and used to study the phase diagrams of a quenched bond-mixed spin Ising model on square and Kagome lattices. The present EFRG approach yields results which improves substantially on those obtained from standard mean-field renormalization-group (MFRG) method. In particular, it is shown that the EFRG scheme correctly distinguishes the geometry of the lattice structure even when working with the smallest possible clusters, namely N' = 1 and N = 2.