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29 March 2024
 
  » arxiv » 1205.1122

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An Algebraic Geometry Method for Calculating DOS for 2D tight binding models
Koushik Ray ; Siddhartha Sen ;
Date 5 May 2012
AbstractAn 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.
Source arXiv, 1205.1122
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