Solving quantum nonequilibrium electric conduction as a many-body scattering problem

测量量子点电流-电压特性的实验已经广泛开展，但还没有一个决定性的理论来解释实验结果。我们在这里提出了一个新理论，它独立于先前的理论并与之互补。我们的理论是朗道尔公式的自然推广，朗道尔公式是一个非相互作用电子系统的决定性理论。我们的理论，当应用到一个简单的量子点模型时，产生了一个现象，我们有一个更小的电流，更大的电压降。我们用由于相互作用而出现的两体束缚态来解释这一现象。电流减小是因为二体束缚态不能通过量子点。

Experiments that measure the current-voltage characteristics across a quantum dot have been widely done, but there have not been a decisive theory that explains the experimental results. We here proposed a new theory that is independent of and complementary to a preceding theory. Our theory is a natural extension of the Landauer formula, which is a decisive theory for non-interacting electron systems.Our theory, when applied to a simple model of a quantum dot, yielded a phenomenon where we have a less current for a greater voltage drop. We explained the phenomenon in terms of a two-body bound state that appears because of the interaction. The current decreases because the two-body bound state cannot pass through the quantum dot.