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We present a novel method of obtaining transferable tight-binding parameters. The method is applied to Si and new parameters extracted by rescaling the energy functional in a physically transparent manner. Self-consistency is approximated within the tight-binding model by enforcing atomic charge neutrality using a simple algorithm. Results for bulk Si and Si clusters are presented and are seen to agree well with results from accurate ab initio calculations.
Goodwin et al. (Tue,) studied this question.