论文标题
石墨烯动力学理论的近似解
Approximate Solutions of a Kinetic Theory for Graphene
论文作者
论文摘要
在非扰动动力学理论方法中分析了石墨烯中强场激发的有效质量近似[1,2]。对于从石墨烯[3]研究量子辐射的情况下，这个问题是很高的，其中光子动力学方程中的碰撞积分是电荷载体分布函数的相当复杂的功能。这些功能在显式分析定义中需要作为电子孔激发动力学方程的解决方案。在目前的工作中，表明所建议的方法在一定范围内的外部电磁场脉冲中相当有效。例如，在谐波字段的情况下，近似值的适用条件为$ \ hbarω^2 /（\ sqrt {2} e e_0 v_f）<1 $，是$ v_f $是费米的速度。在标准的大规模量子电动力学中，类似近似的可用性非常狭窄。
The effective mass approximation is analysed in a nonperturbative kinetic theory approach to strong field excitations in graphene [1,2]. This problem is highly actual for the investigation of quantum radiation from graphene [3], where the collision integrals in the photon kinetic equation are rather complicated functionals of the distribution functions of the charge carriers. These functions are needed in the explicit analytical definition as solutions of the kinetic equations for the electron-hole excitations. In the present work it is shown that the suggested approach is rather effective in a certain range of parameters for the pulse of an external electromagnetic field. For example, the applicability condition of the approximation in the case of a harmonic field is $\hbar ω^2 / (\sqrt{2} e E_0 v_F) < 1$, were $v_F$ is the Fermi velocity. In the standard massive quantum electrodynamics the usability of the analogical approximation is very narrow.
