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

M. Bak
Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 PoznaĆ, Poland |

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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. |

DOI: 10.12693/APhysPolA.118.386 PACS numbers: 02.30.Gp, 02.30.Uu, 02.60.Nm, 71.15.-m, 02.70.Hm, 71.10.Fd |