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Boundary conditions and surface states spectrum in Weyl semimetal


Zh.A. Devizorova – Post-graduate Student, MIPT E-mail: V.A. Volkov – Dr.Sc. (Phis.-Math.), Professor, Leading Research Scientist, Kotel’nikov Institute of Radio Engineering and Electronics of RAS (Moscow)

We propose analytical model describing Fermi-arcs in Weyl semimetal, which were experimentally observed recently. For this purpose, effective two-valley Hamiltonian is supplemented by the boundary condition accounting both intravalley and intervalley interaction on the surface. The constant energy contours of the surface states are studied. It is shown that taking into account the interfacial intervalley interaction leads to the formation of the constant energy contours with Fermi-arcs shape.


  1. Wan X., Turner A.M., Vishwanath A., Savrasov S.Y. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates // Phys. Rev. 2011. B 83. 205101.
  2. Huang S.-M., Xu S.-Y., Belopolski I., Lee C.-C., Chang G., Wang B., Alidoust N., Bian G., Neupane M., Zhang C., Jia S., Bansil A., Lin H., Hasan M.Z. A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class // Nature Comm. 2015. № 6. 7373.
  3. Xu S.-Y., Belopolski I., Alidoust N., Neupane M., Bian G., Zhang C., Sankar R., Chang G., Yuan Z., Lee C.-C.,. Huang S.-M, Zheng H., Ma J., Sanchez D.S., Wang B., Bansil A., Chou F., Shibayev P.P., Lin H., Jia S., Hasan M.Z. Discovery of a Weyl fermion semimetal and topological Fermi arcs // Science. 2015. № 349. 613.


June 24, 2020
May 29, 2020

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