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Conductivity of a quasiperiodic system in two and three dimensions

机译:二维和二维准周期系统的电导率

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摘要

A generalization of the Aubry-Andre model in two and three dimensions is introduced which allows for quasiperiodic hopping terms in addition to the quasiperiodic site potentials. This corresponds to an array of interstitial impurities within the periodic host crystal. The resulting model is exactly solvable and I compute the density of states and the ac conductivity. There is no mobility edge as in completely disordered systems but the regular ac conductivity and the strongly reduced Drude weight indicate a precursor of the Anderson transition as the Fermi energy goes from the center to the band edges.
机译:引入了二维和三维的Aubry-Andre模型的一般化,它除了准周期性位势外还允许准周期性跳变项。这对应于周期性基质晶体内的间隙杂质阵列。结果模型是完全可解的,我计算状态密度和交流电导率。没有像完全无序的系统那样具有迁移率边缘,但是规则的交流电导率和大大降低的Drude重量表明,随着费米能量从中心向谱带边缘转移,安德森跃迁的先兆。

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