Phys. Rev. B 42, 1518–1525 (1990)Validity, accuracy, and efficiency of multiple-scattering theory for space-filling scatterersReceived 19 January 1990; published in the issue dated 15 July 1990 The equations of multiple-scattering theory (MST) are solved for the case of a lattice of square-well potentials in the shape of squares that fill the plane. We find that multiple-scattering theory is exact within reasonably achievable numerical accuracy. There is a problem with the convergence of MST in its traditional formulation that has obscured the fact that it is an exact theory even for non-muffin-tin, space-filling potentials. We show that this problem can be easily circumvented and describe a rapidly convergent, exact formulation of MST. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.42.1518
DOI:
10.1103/PhysRevB.42.1518
PACS:
71.20.Ad, 71.10.+x, 71.25.Cx, 71.25.Pi
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