论文标题
在零温度下为Kubo公式辩护：简短的审查和一些新的结果
Justifying Kubo's formula for gapped systems at zero temperature: a brief review and some new results
论文作者
论文摘要
我们首先回顾了库博在零温度下扩展的汉密尔顿量子系统中久保公式进行运输系数的严格理由的问题。特别是，对量子厅效应的理论理解取决于久保公式对此类系统的有效性，我们也简要审查了这种联系。然后，我们重点介绍了一种基于非平衡响应理论的方法，基于非均衡状态（NEEAS）以及针对此类系统的相应绝热定理，该系统最近在[51]中提出并在[51]中对有限lattices上的效费系统进行了相互作用。在论文的第二部分中，我们展示了如何通过采用热力学极限来提高[51]的结果到无限系统。
We first review the problem of a rigorous justification of Kubo's formula for transport coefficients in gapped extended Hamiltonian quantum systems at zero temperature. In particular, the theoretical understanding of the quantum Hall effect rests on the validity of Kubo's formula for such systems, a connection that we review briefly as well. We then highlight an approach to linear response theory based on non-equilibrium almost-stationary states (NEASS) and on a corresponding adiabatic theorem for such systems that was recently proposed and worked out by one of us in [51] for interacting fermionic systems on finite lattices. In the second part of our paper we show how to lift the results of [51] to infinite systems by taking a thermodynamic limit.
