计算二维紧束缚模型DOS的代数几何方法
An Algebraic Geometry Method for Calculating DOS for 2D tight binding models
摘要：
在紧束缚近似下，用代数几何方法计算了晶格中电子态密度随能量变化的矩。将矩解释为密度的梅林变换允许写下密度的公式作为逆梅林变换。通过计算二维正方形和蜂窝格子的密度函数说明了该方法。
英文摘要：
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.
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