Renormalization method for infinite lattice sums revisited: lattice sums with Bloch phase factor
Abstract
Infinite lattice summation scheme based on the idea of renormalization is generalized to enable evaluation of infinite lattice sums with Bloch phase factors which can occur when treating long-range interactions in infinite periodic systems. The scheme is fast, with easy to control accuracy and is not limited to any choice of special points in the Brillouin zone. Illustrative calculation for a first few contributions for a simple cubic lattice is presented.
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