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

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

preprint2012arXivOpen access
Koushik RaySiddhartha Sen
cond-mat.othercond-mat.mtrl-scimath-phmath.MPmath.AGhep-th
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Koushik RaySiddhartha Sen

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