Lattice Green's function for anisotropic triangular lattice

Tsuyoshi Horiguchi

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 2, 351-363

Abstract: The lattice Green's function at an arbitrary lattice site on an anisotropic triangular lattice is expressed in terms of three lattice Green's functions - which are the one at the origin, the one at a nearest-neighbor lattice site to the origin and the one at a third-neighbor lattice site to the origin - and their derivatives with respect to a parameter. These three lattice Green's functions are expressed in terms of the complete elliptic integrals of the first, second and third kinds.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:2:p:351-363

DOI: 10.1016/0378-4371(91)90024-7

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