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在单电子、紧束缚和最近邻相互作用条件下,本文利用迁移模型分析和计算了单种原子、单键长的二维十二次准晶的电子性质,包括电子能谱、积分态密度和判断电子波函数局域性的一阶矩、二阶矩、反参加比等参数。我们发现电子能谱没有正常简并,只有偶然简并,以及电子只有中间态,没有扩展态和局域态。
Under the conditions of single-electron, tight-binding and nearest-neighbor interaction, we use the migration model to analyze and calculate the electronic properties of two-dimensional twelve-quasicrystals of single atom and single bond length, including electron energy spectrum, Determine the first order moment, second moment, anti-reference ratio and other parameters of the local electronic wave function. We found that the electron spectrum did not degenerate normally, only by accidental degeneracy, and that the electrons had only an intermediate state, no extended state, and no localized state.