Volkov-Pankratov states in topological heterojunctions

Abstract

We show that a smooth interface between two insulators of opposite topological Z2 indices possesses multiple surface states, both massless and massive. While the massless surface state is non-degenerate, chiral and insensitive to the interface potential, the massive surface states only appear for a sufficiently smooth heterojunction. The surface states are particle-hole symmetric and a voltage drop reveals their intrinsic relativistic nature, similarly to Landau bands of Dirac electrons in a magnetic field. We discuss the relevance of the massive Dirac surface states in recent ARPES and transport experiments.

arXiv comment5 pages, 3 figures; 6 pages of supplementary material incorporated; accepted for publication in Physical Review B as a Rapid Communication

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• Interplay of Dirac nodes and Volkov-Pankratov surface states in compressively strained HgTe
• Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals
• Volkov-Pankratov states in topological superconductors
• Volkov-Pankratov states in topological graphene nanoribbons
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• Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
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• Floquet engineering of Dirac cones on the surface of a topological insulator
• Terahertz Magnetospectroscopy of Cyclotron Resonances from Topological Surface States in Thick Films of Cd${}_x$Hg${}_{1-x}$Te
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• Surface plasmonics of Weyl semimetals
• Two-dimensional Dirac fermions in a mass superlattice
• Hybridization of topological surface states with a flat band
• Tunable interface states between Floquet-Weyl semimetals
• Miniband engineering and topological phase transitions in topological - normal insulator superlattices
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Transport properties of a 1000-nm HgTe film: the interplay of surface and bulk carriers
• Robust propagating in-gap modes due to spin-orbit domain walls in graphene
• Identifying the fingerprints of topological states by tuning magnetoresistance in a semimetal: the case of topological half-Heusler Pt1-xAuxLuSb
• Inducing anisotropies in Dirac fermions by periodic driving
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• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
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• Topological interface states -- a possible path towards a Landau-level laser in the THz regime
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Tailoring topological states of core-shell nanoparticles
• Volkov-Pankratov states in a driven semimetal for a generic interface