液体绝缘体中电荷输运的拓扑量子化和规范不变性
Topological quantisation and gauge invariance of charge transport in liquid insulators
摘要：
根据Green-Kubo线性响应理论，电子能隙液体的电导率可以用绝热电荷通量的时间相关来表示，绝热电荷通量由原子速度和玻恩有效电荷决定。我们表明，拓扑量子化的绝热电荷输运和规范不变性的输运系数允许一个严格的绝缘流体的电导率表示在整数值，标量，和时间无关的原子氧化数，而不是实值，张量，和时间相关的玻恩电荷。
英文摘要：
According to the Green-Kubo theory of linear response, the conductivity of an electronically gapped liquid can be expressed in terms of the time correlations of the adiabatic charge flux, which is determined by the atomic velocities and Born effective charges. We show that topological quantisation of adiabatic charge transport and gauge invariance of transport coefficients allow one to rigorously express the electrical conductivity of an insulating fluid in terms of integer-valued, scalar, and time-independent atomic oxidation numbers, instead of real-valued, tensor, and time-dependent Born charges.
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