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2010 | 118 | 2 | 386-388
Article title

Lattice Green Functions on a Two-Dimensional Rectangular Lattice with Next-Nearest Neighbor Interaction

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EN
Abstracts
EN
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.
Keywords
Contributors
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
  • 1. R.G. Boyd, J. Callaway, Phys. Rev. 140, A1621 (1965)
  • 2. S. Krompiewski, Acta Phys. Pol. A 53, 845 (1978)
  • 3. A.A. Bahurmuz, Acta Phys. Pol. A 57, 565 (1980)
  • 4. T. Morita, J. Phys. A, Math. Gen. 8, 478 (1975)
  • 5. D.Y. Xing, M. Liu, C.D. Gong, Phys. Rev. B 44, 12525 (1991)
  • 6. T. Horiguchi, T. Morita, J. Phys. C, Solid State Phys. 8, L232 (1975)
Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv118n241kz
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