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paulhj
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- TL;DR Summary
- How do I numerically compute the Green's function matrix for an infinitely long lattice with some complicated unit cell?
I am currently trying to compute the Green's function matrix of an infinite lattice with a periodicity in 1 dimension in the tight binding model. I have matrix ##V## that describes the hopping of electrons within each unit cell, and a matrix ##W## that describes the hopping between unit cells.
By Fourier transforming and diagonalising the resulting matrix I have been able to calculate the energy band structure of the system as a function of momentum in the direction of periodicity. Is there then a way of numerically calculating the Green's function matrix of this system, similar to how you can calculate the Green's function for an infinite chain? Any help or recommended reading is much appreciated.
By Fourier transforming and diagonalising the resulting matrix I have been able to calculate the energy band structure of the system as a function of momentum in the direction of periodicity. Is there then a way of numerically calculating the Green's function matrix of this system, similar to how you can calculate the Green's function for an infinite chain? Any help or recommended reading is much appreciated.