论文标题
狭窄带结构中的库仑排斥库伯恩的电子配对
Electron pairing by Coulomb repulsion in narrow band structures
论文作者
论文摘要
我们在一个和二维的紧密结合晶格上分析和数值动态和数值动力学以及两个电子的本征状态。电子的总能量和动量得到了保守，我们表明，对于一定动量范围，动力学将在有效的窄能带中精确地降低为演变，在有效的狭窄能量带中，能量保护迫使两个电子以中等甚至弱的排斥强度通过整个系统一起传播。我们认为，通过排斥性库仑相互作用的电子对形成的这种机制相当通用，并且可以是扭曲双层石墨烯中非常规超导性的起源。
We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a certain momentum range the dynamics is exactly reduced to an evolution in an effective narrow energy band where the energy conservation forces the two electrons to propagate together through the whole system at moderate or even weak repulsion strength. We argue that such a mechanism of electron pair formation by the repulsive Coulomb interaction is rather generic and that it can be at the origin of unconventional superconductivity in twisted bilayer graphene.
