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

Abstract : 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.
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https://hal-cea.archives-ouvertes.fr/cea-03196147
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Submitted on : Monday, April 12, 2021 - 3:04:09 PM
Last modification on : Saturday, April 17, 2021 - 3:30:32 AM
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Sarah Pinon, Vardan Kaladzhyan, Cristina Bena. Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators. Physical Review B, American Physical Society, 2020, 101 (11), pp.115405. ⟨10.1103/PhysRevB.101.115405⟩. ⟨cea-03196147⟩

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