2016/11/30 by Zh. Devizorova, Zh. A. Devizorova, V. A. Volkov
Materials Science · Mathematics · Physics and Astronomy · #2D Materials and Applications #Arc (geometry) #Boundary (topology) #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi surface #Geometry #Graphene research and applications #Hamiltonian (control theory) #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Semimetal #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.95.081302
published as Phys. Rev. B 95, 081302 (2017) · 5 pages, 4 figures
openalex publication_date 2017/02/14 · arxiv created 2017/02/26 · arxiv updated 2017/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an analytical model describing Fermi arc surface states observed in the recent investigations of Weyl semimetals. The effective two-valley Hamiltonian is supplemented by the boundary conditions taking into account both the intravalley and intervalley interfacial interactions. We demonstrate that the latter is crucial for the formation of the surface states having the form consistent with the experimental data. Depending on the magnitude and interplay between the intravalley and intervalley interactions, the Fermi arc connects two nearby or distant valleys. Moreover, the emergence of additional Fermi contours (closed curves not intersecting the Weyl points) can be understood in the simplest four-valley approximation. These results open up opportunities for searching new effects in Weyl semimetals under an external field.