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Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals

2019/07/31 by Dibya Kanti Mukherjee, David Carpentier, Mark O. Goerbig +1
Materials Science · Mathematics · Physics and Astronomy · #Band gap #Boundary (topology) #Condensed matter physics #Density of states #Electron #Fermi Gamma-ray Space Telescope #Fermi level #Geometry #Graphene research and applications #Massless particle #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Semimetal #Surface (topology) #Surface states #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.100.195412

published as Phys. Rev. B 100, 195412 (2019) · 9 pages, 9 figures

openalex publication_date 2019/11/11 · arxiv created 2020/03/06 · arxiv updated 2020/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Weyl semimetals are known to host massless surface states called Fermi arcs. These Fermi arcs are the manifestation of the bulk-boundary correspondence in topological matter and thus are analogous to the topological chiral surface states of topological insulators. It has been shown that the latter, depending on the smoothness of the surface, host massive Volkov-Pankratov states that coexist with the chiral ones. Here, we investigate these VP states in the framework of Weyl semimetals, namely their density of states and magneto-optical response. We find the selection rules corresponding to optical transitions which lead to anisotropic responses to external fields. In the presence of a magnetic field parallel to the interface, the selection rules and hence the poles of the response functions are mixed.

Citations