Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators

Sarah Pinon (1) , Vardan Kaladzhyan (2) , Cristina Bena (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 KTH - KTH Royal Institute of Technology [Stockholm]

In this work we provide a new direct and non-numerical technique to obtain the surface Green's functions for three-dimensional systems. This technique is based on the ideas presented in Phys. Rev. B 100, 081106(R), in which we start with an infinite system and model the boundary using a plane-like infinite-amplitude potential. Such a configuration can be solved exactly using the T-matrix formalism. We apply our method to calculate the surface Green's function and the corresponding Fermi-arc states for Weyl semimetals. We also apply the technique to systems of lower dimensions, such as Kane-Mele and Chern insulator models, to provide a more efficient and non-numerical method to describe the formation of edge states.

Domaines: Physique [physics]

Sarah Pinon, Vardan Kaladzhyan, Cristina Bena. Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators. Physical Review B, 2020, 101 (11), pp.115405. ⟨10.1103/PhysRevB.101.115405⟩. ⟨cea-03196147⟩