An algebraic geometry method for calculating DOS for 2D tight binding models

作者:Ray Koushik*; Sen Siddhartha
来源:Advances in Theoretical and Mathematical Physics, 2013, 17(6): 1343-1355.
DOI:10.4310/ATMP.2013.v17.n6.a4

摘要

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.

  • 出版日期2013

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