Abstract
In dealing with the square lattice model, we replace the traditionally needed Born–Von Karmann periodic boundary condition with additional Hamiltonian terms to make up a ring lattice. In doing so, the lattice Green's function of an infinite square lattice in the second nearest-neighbour interaction approximation can be derived by means of the matrix Green's function method. It is shown that the density of states may change when the second nearest-neighbour interaction is turned on.
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