Low-velocity anisotropic Dirac fermions on the side surface of topological insulators

Abstract

We report anisotropic Dirac-cone surface bands on a side-surface geometry of the topological insulator Bi${}_2$Se${}_3$ revealed by first-principles density-functional calculations. We find that the electron velocity in the side-surface Dirac cone is anisotropically reduced from that in the (111)-surface Dirac cone, and the velocity is not in parallel with the wave vector {\bf k} except for {\bf k} in high-symmetry directions. The size of the electron spin depends on the direction of {\bf k} due to anisotropic variation of the noncollinearity of the electron state. Low-energy effective Hamiltonian is proposed for side-surface Dirac fermions, and its implications are presented including refractive transport phenomena occurring at the edges of tological insulators where different surfaces meet.

4 pages, 2 columns, 4 figures

References in corpus (13)

• The electronic properties of graphene
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• Electron Beam Supercollimation in Graphene Superlattices
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
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• Ultra-thin Topological Insulator Bi2Se3 Nanoribbons Exfoliated by Atomic Force Microscopy

Cited by in corpus (22)

• Robust topological insulator surface conduction under strong surface disorder
• Symmetry analysis of strain, electric and magnetic fields in the ${\text{Bi}}_2{\text{Se}}_3$-class of topological insulators
• Excitonic mass gap in uniaxially strained graphene
• Sputtering induced re-emergence of the topological surface state in Bi${}_2$Se${}_3$
• Role of surface termination in realizing well-isolated topological surface states within the bulk band gap in TlBiSe${}_2$ and TlBiTe${}_2$
• Dirac fermions at high-index surfaces of bismuth chalcogenide topological insulator nanostructures
• Strain in Epitaxial High-Index Bi2Se3(221) Films Grown by Molecular-Beam Epitaxy
• Stability, efficiency, and mechanism of n-type doping by hydrogen adatoms in two-dimensional transition metal dichalcogenides
• Suppression of Conductance in a Topological Insulator Nanostep Junction
• Manifestation of axion electrodynamics through magnetic ordering on edges of topological insulator
• Experimental search for one-dimensional edge states at surface steps of the topological insulator Bi${}_2$Se${}_3$: Distinguishing between effects and artifacts
• Lattice-matched heterojunctions between topological and normal insulators: A first-principles study
• Spin Conduction in Anisotropic 3-D Topological Insulators
• Controlling surface charge and spin density oscillations by Dirac plasmon interaction in thin topological insulators
• Dirac Electrons on a Sharply Edged Surface of Topological Insulators
• Veselago focusing of anisotropic massless Dirac fermions
• Electronic properties of one-dimensional nanostructures of the Bi${}_2$Se${}_3$ topological insulator
• Numerical analysis of surface and edge states in slabs, stripes, rods and surface steps of topological insulators
• Inducing anisotropies in Dirac fermions by periodic driving
• Non-orthogonal Spin-Momentum Locking
• Experimental Observation of Bound States of 2D Dirac Electrons at Surface Steps of the Topological Insulator Bi${}_2$Se${}_3$
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials