Surface States of a System of Dirac Fermions: A Minimal Model

Abstract

A brief survey is given of theoretical works on surface states (SSs) in Dirac materials. Within the formalism of envelope wave functions and boundary conditions for these functions, a minimal model is formulated that analytically describes surface and edge states of various (topological and non-topological) types in several systems with Dirac fermions (DFs). The applicability conditions of this model are discussed.

arXiv commentContribution for the JETP special issue dedicated to L.V. Keldysh

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Cited by in corpus (12)

• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Volkov-Pankratov states in topological heterojunctions
• Kagome Lattice from Exciton-Polariton Perspective
• Robustness and Universality of Surface States in Dirac Materials
• Edge states and spin-valley edge photocurrent in transition metal dichalcogenide monolayers
• Weyl fermions in cylindrical wires
• Conservation of chirality at a junction between two Weyl semimetals
• Surface quantum critical phenomena in disordered Dirac semimetals
• Collective excitations in two-component one-dimensional massless Dirac plasma
• Topological zero-modes of the spectral localizer of trivial metals
• Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires
• Virial theorem, boundary conditions, and pressure for massless Dirac electrons