In general, linear response theory expresses the relation between a driving and a physical system’s response only to first order in perturbation theory. In the context of charge transport, this is the linear relation between current and electromotive force expressed in Ohm’s law. We show here that in the case of the quantum Hall effect, all higher-order corrections vanish. We prove this in a fully interacting setting and without flux averaging.

中文翻译：

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量子霍尔效应中线性响应的精确性

通常，线性响应理论仅在微扰理论中表示驱动和物理系统对一阶响应之间的关系。在电荷传输的情况下，这是欧姆定律中表示的电流与电动势之间的线性关系。我们在这里表明，在量子霍尔效应的情况下，所有高阶校正都消失了。我们在完全交互的环境中证明了这一点，并且没有磁通平均。