Exact values for the cubic lattice Green functions

Authors
Glasser, ML Boersma, J
Citation
Ml. Glasser et J. Boersma, Exact values for the cubic lattice Green functions, J PHYS A, 33(28), 2000, pp. 5017-5023
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
28
Year of publication
2000
Pages
5017 - 5023
Database
ISI
SICI code
0305-4470(20000721)33:28<5017:EVFTCL>2.0.ZU;2-Y
Abstract
It is shown that the value of the cubic lattice Green functions G(z; l, m, n) at the upper critical point z = 3 (for the simple cubic and face-centred cubic lattices) or z = 1 (for the body-centred cubic lattice) is expressib le rationally in terms of the known value of G(3; 0, 0, O) or G(1; 0, 0, 0) , and pi.