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- W2044105612 abstract "In the muffin-tin model of a liquid metal, the individual scattering centers are represented by nonoverlapping, spherically symmetric atomic potentials. Given a specific configuration of the scatterers, it can be shown that the atomic potentials enter the calculation of the density of states $ensuremath{rho}(E)$ only through the atomic phase shifts ${ensuremath{delta}}_{l}(E)$. The quantities of physical interest, however, are given by an average over all possible configurations and are usually evaluated in terms of a single site decoupling of the multiple-scattering series. Once such an approximation is made, it is no longer clear that the mean density of states $〈ensuremath{rho}(E)〉$ can be expressed in terms of just the quantities ${ensuremath{delta}}_{l}(E)$. [Physically, the decoupling may introduce a spurious overlap of the potentials and the evaluation of $〈ensuremath{rho}(E)〉$ would then require the off-shell matrix elements of the atomic-scattering operators.] In particular, the familiar quasicrystalline approximation (QCA) is shown to exhibit this deficiency. We suggest a modified QCA which overcomes this deficiency by providing a more realistic description of the atomic correlations. The applicability of our method is illustrated by calculations based on a one-dimensional model. We also discuss the qualitative behavior of the quasiparticle spectrum of a realistic three-dimensional transition- or noble-metal liquid." @default.
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- W2044105612 date "1975-10-15" @default.
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- W2044105612 title "Muffin-tin model of a liquid metal: Electronic density of states in a modified quasicrystalline approximation" @default.
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- W2044105612 doi "https://doi.org/10.1103/physrevb.12.3113" @default.
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