Department of Physics, University of California, San Diego, La Jolla, CA 92093;
Department of Physics, University of California, San Diego, La Jolla, CA 92093.
Proc Natl Acad Sci U S A. 2018 Mar 27;115(13):3285-3289. doi: 10.1073/pnas.1717010115. Epub 2018 Mar 12.
A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of the hydrodynamic nonlinear conductivity are shown to differ from their counterparts in the more familiar kinetic regime of higher frequencies. Due to universality of the hydrodynamic equations, the obtained formulas are valid for systems with an arbitrary Dirac-like dispersion, ranging from solid-state electron gases to free-space plasmas, either massive or massless, at any temperature, chemical potential, or space dimension. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.
本文推导出了在低于粒子间散射率的频率下,电子系统的线性和二阶非线性交流电导率之间的一般关系。结果表明,在更高频率的更为人熟悉的动力学范围内,流体动力非线性电导率的大小和张量结构与其对应物不同。由于流体力学方程的普遍性,所得到的公式对于具有任意类狄拉克色散的系统都是有效的,范围从固态电子气体到自由空间等离子体,无论是有质量的还是无质量的,在任何温度、化学势或空间维度下都是如此。本文提出了该理论在光子拖拽和石墨烯二次谐波产生方面的一个应用。