Gapless interface states between topological insulators with opposite Dirac velocities

Abstract

The Dirac cone on a surface of a topological insulator shows linear dispersion analogous to optics and its velocity depends on materials. We consider a junction of two topological insulators with different velocities, and calculate the reflectance and transmittance. We find that they reflect the backscattering-free nature of the helical surface states. When the two velocities have opposite signs, both transmission and reflection are prohibited for normal incidence, when a mirror symmetry normal to the junction is preserved. In this case we show that there necessarily exist gapless states at the interface between the two topological insulators. Their existence is protected by mirror symmetry, and they have characteristic dispersions depending on the symmetry of the system.

4 pages, 3 figures

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• Atomic and Electronic Structure of a Rashba $p$-$n$ Junction at the BiTeI Surface
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• Theory of Unconventional Spin States in Surfaces with Non-Rashba Spin-Orbit Interaction
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• Superluminal Tachyonlike Excitations of Dirac Fermions in a Topological Insulator Junction
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• Spin Texture and Mirror Chern number in Hg-Based Chalcogenides
• Magnetic-Field Induced Semimetal in Topological Crystalline Insulator Thin Films
• Dirac Electrons on a Sharply Edged Surface of Topological Insulators
• Flat Energy Bands within Antiphase and Twin Boundaries and at Open Edges in Topological Materials
• Robustness of Gapless Interface State in a Junction of Two Topological Insulators
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• Gapless interface states at the junction between two topological insulators
• Transport and STM studies of hyperbolic surface states of topological insulators
• Andreev spectroscopy of nonhelical spin textures in topological insulators
• The Fractional Quantum Hall Effect of Tachyons in a Topological Insulator Junction
• The Dirac paradox in 1+1 dimensions and its realization with spin-orbit coupled nanowires
• Photoinduced metallic Volkov-Pankratov states in semi-Dirac material
• Interfacial Fermi Loops from Interfacial Symmetries
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Scanning tunneling microscopy study of the possible topological surface states in BiTeCl
• Helical spin texture and interference of Majorana bound states in one-dimensional topological superconductor
• Nodal-line semimetal superlattices
• Crystalline topological states at a topological insulator junction
• Local density of state oscillations in laterally heterostructured topological insulator-semiconductor systems