Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals

Abstract

Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a Weyl-semimetal model obtained by closing the band gap in a topological insulating state and introducing a time-reversal-symmetry-breaking term. Based on the results, we discuss the electromagnetic susceptibilities, the current response, and other physical effects arising from the density-spin response. We find a magnetoelectric effect caused solely by the Fermi arcs. We also discuss the effect of electron-electron interactions within the random phase approximation and investigate the dispersion of surface plasmons formed by Fermi-arc states. Our work is useful for understanding the electromagnetic and optical properties of the Fermi arcs.

arXiv comment10 pages, 3 figures, plus appendices

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• Surface plasmonics of Weyl semimetals
• Broken symmetry and competing orders in Weyl semimetal interfaces
• Surface Luttinger arcs in Weyl semimetals
• 3D Topological Plasmons in Weyl Semimetals
• Anomalous Surface Conductivity of Weyl Semimetals
• Dipolar optical plasmon in thin-film Weyl semimetals
• Direct Measurement of Helicoid Surface States in RhSi using Nonlinear Optics