Lattice Green's Functions for the Triangular and Honeycomb Lattices
- 1 September 1972
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (9) , 1411-1419
- https://doi.org/10.1063/1.1666155
Abstract
The lattice Green's function for the triangular lattice at an arbitrary lattice site is expressed in terms of the complete elliptic integrals of the first and second kind. The lattice Green's function for the honeycomb lattice is shown to be expressed in terms of the one for the triangular lattice. The results obtained are shown by graphs.Keywords
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