二维无公度原子异质结构输运性质的广义Kubo公式
Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures
摘要：
在紧束缚近似下，给出了无公度二维原子多层膜系统输运系数的精确表达式。该公式基于Bellissard及其合作者引入的C * 代数框架，用于研究非周期性固体（无序晶体，准晶体和非晶材料），特别是在磁场存在下（量子霍尔效应）。我们还提出了数值近似和测试我们的方法在一维无公度双层系统。
英文摘要：
We give an exact formulation for the transport coefficients of incommensurate two-dimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C* algebra framework introduced by Bellissard and collaborators to study aperiodic solids (disordered crystals, quasicrystals, and amorphous materials), notably in the presence of magnetic fields (quantum Hall effect). We also present numerical approximations and test our methods on a one-dimensional incommensurate bilayer system.
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