Replica-trick approach to percolation networks with central and bond-bending forces

For the first time, a self-consistent effective medium is set up for central-force percolation networks with bond-bending forces, which do not allow the standard technique, the HCPA, to be used. By means of the replica trick, for two-dimensional bond-dilute triangular lattices with central and bond-bending forces, an effective lattice potential with complex, frequency dependent force constants is derived. The density of vibrational states is calculated and compared with corresponding results obtained by means of other methods.