Exact values for the cubic lattice Green functions
- 7 July 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (28) , 5017-5023
- https://doi.org/10.1088/0305-4470/33/28/306
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 expressible rationally in terms of the known value of G(3;0,0,0) or G(1;0,0,0), and π.Keywords
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