ANALYSIS OF LONG-RANGE EFFECTS IN MANY-BODY CORRELATION APPROACHES FOR ONE-DIMENSIONAL PERIODIC-SYSTEMS

We analyze the divergent contributions to-the Hamiltonian for extended , nonmetallic systems in one dimension, to both the ground-state corre lation energy and to the correlated band structure. It is shown that t he contribution from the long-range divergent part of the Hamiltonian tends to zero as 1/M-2, where M is the extent of the troublesome latti ce summations. Therefore, it is well justified to neglect such contrib utions in higher order many-body perturbation theory or coupled cluste r treatments of the electronic structure for polymers. (C) 1997 John W iley & Sons, Inc.