Dynamical correlation functions and the related novel physical effects in 3D topological semimetals

We present a unified derivation of the dynamical correlation functions including density-density, density-current and current-current, of 3D Weyl/Dirac semimetals by use of the Passarino-Veltman reduction scheme at T=0K. The generalized Kramers-Kronig relations with arbitrary order of subtraction are established to verify these correlation functions. Our results lead to the exact chiral magnetic conductivity and directly recover the previous ones in several limits. We also investigate the magnetic susceptibilities, the orbital magnetization, and briefly discuss the impact of electron interactions on these physical quantities within the random phase approximation. Recently, we develop a guage invariant theory of chiral magnetic plasmons and discuss the impact of the chiral anomaly. Our work provides a starting point for the investigation of the nonlocal transport and optical properties due to the higher-order spatial dispersion in 3D Weyl/Dirac semimetals.
Refs: Jianhui Zhou and Hao-Ran Chang, PhysRevB.97.075202 (2018); Hao-Ran Chang, Jianhui Zhou, Di Xiao and Hong Guo In perparation (2018).