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We introduce the near-field exchange method for calculating Hartree–Fock exchange in time scaling near-linearly with system size. Benchmarks on polyglycine chains, water clusters, and diamond pieces show that microhartree accuracy and substantial speedups (up to 10×) over traditional calculations can be obtained for electrically insulating systems larger than 300 atoms.
Burant et al. (Fri,) studied this question.