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An algebraic geometry method is used to calculate the moments of the electrondensity of states as a function of the energy for lattices in the tight bindingapproximation. Interpreting the moments as the Mellin transform of the densityallows writing down a formula for the density as an inverse Mellin transform.The method is illustrated by working out the density function for thetwo-dimensional square and honeycomb lattices.

An Algebraic Geometry Method for Calculating DOS for 2D tight binding models