QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model

The tight binding model is a minimal electronic structure model for molecular modeling and simulation. We show that for a finite temperature model, the total energy in this model can be decomposed into site energies, that is, into contributions from each atomic site whose influence on their environment decays exponentially. This result lays the foundation for a rigorous analysis of QM/MM coupling schemes.

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