论文标题

量子厅效应中线性响应的精确性

Exactness of linear response in the quantum Hall effect

论文作者

Bachmann, Sven, De Roeck, Wojciech, Fraas, Martin, Lange, Markus

论文摘要

通常,线性响应理论表达了驾驶与物理系统对扰动理论一级的响应之间的关系。在电荷运输的背景下,这是欧姆定律中表达的电流和电动力之间的线性关系。我们在这里表明,在量子大厅效应的情况下,所有高阶校正都消失了。我们在完全相互作用的设置中证明了这一点,并且没有通量平均。

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.

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