Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals

Abstract

We study the linear response of doped three dimensional Dirac and Weyl semimetals to vector potentials, by calculating the wave-vector and frequency dependent current-current response function analytically. The longitudinal part of the dynamic current-current response function is then used to study the plasmon dispersion, and the optical conductivity. The transverse response in the static limit yields the orbital magnetic susceptibility. In a Weyl semimetal, along with the current-current response function, all these quantities are significantly impacted by the presence of parallel electric and magnetic fields (a finite $\mathbf{E}\cdot \mathbf{B}$ term), and can be used to experimentally explore the chiral anomaly.

arXiv commentFinal version to appear in PRB. Added detailed discussion on 1) charge renormalization (QED style) and 2) Generalized Kramers Kronig relations

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