Correlated random walk on a bcc lattice with next-nearest-neighbor hops: Self-consistent decoupling approximation.

Abstract

The self-consistent decoupling scheme recently introduced to improve the theory of Tahir-Kheli and Elliott for tracer diffusion on a lattice, in the limit of a static background, is extended here to include next-nearest-neighbor hops on a bcc lattice. Results for ${f}^{\mathrm{tr}}$, previously conjectured by Tahir-Kheli, are obtained through the new, approximate Green's-function equations. It is shown that the method applies generally to nth-neighbor hopping on any hypercubic lattice.