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arXiv · 1205.1122

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

Koushik Ray·Siddhartha Sen
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Abstract

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.

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Koushik Ray, Siddhartha Sen. 2012-05-05. An Algebraic Geometry Method for Calculating DOS for 2D tight binding models. https://arxiv.org/abs/1205.1122

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