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Lattice green functions on a two-dimensional rectangular lattice with next-nearest neighbor interaction
Authors:
- Maciej Mateusz Bąk
Abstract
The analytic formula for the on-site Green function on the two-dimensional rectangular lattice is shown for arbitrary energy, both within the band (complex Green function) and outside the band (real Green function),expressed by means of elliptic integrals. The recursion formulae enabling calculation of the Green functions on other lattice sites are shown.
- Record ID
- UAMbbad332a8b094602913e75ed76d24d90
- Author
- Journal series
- Acta Physica Polonica A, ISSN 0587-4246
- Issue year
- 2010
- Vol
- 118
- Pages
- 386-388
- ASJC Classification
- DOI
- DOI:10.12693/APhysPolA.118.386 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 1; = 1; : 2010 = 0.421; : 2010 (2 years) = 0.467 - 2010 (5 years) =0.420
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMbbad332a8b094602913e75ed76d24d90/
- URN
urn:amu-prod:UAMbbad332a8b094602913e75ed76d24d90
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.