论文标题
具有筛选的库仑和短距离相互作用的二维Dirac费米的动态响应函数
Dynamic response functions of two-dimensional Dirac fermions with screened Coulomb and short-range interactions
论文作者
论文摘要
我们考虑了石墨烯中电子之间的筛选库仑相互作用，并确定其动态响应函数，例如纵向和横向电导率和极化函数，并将其与短距离相互作用模型中的相应数量进行比较。通过考虑电子速度的自我能源重归于，并使用梯子近似来说明顶点校正，从而确保满足病房身份（电荷保护定律），从而对所有订单进行了短程相互作用的计算。我们的发现预测，相互作用的电子孔对在特定频率低于阈值$ qv =ω$的谐振响应，并进一步预测了足够强的相互作用的不稳定性。
We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the corresponding quantities in the short-range interaction model. The calculations are performed to all orders for short-range interaction by taking into account the self-energy renormalization of the electron velocity and using a ladder approximation to account for the vertex corrections, ensuring that the Ward identity (charge conservation law) is satisfied. Our findings predict a resonant response of interacting electron-hole pairs at a particular frequency below the threshold $qv=ω$ and further predict an instability for sufficiently strong interactions.
