Diffusion at the Surface of Topological Insulators

Abstract

We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states depend strongly on the amplitude of the hexagonal warping of their Fermi surface. It is shown that a perturbative analysis of the warping fails to describe the transport in experimentally available topological insulators, such as Bi2Se3 and Bi2Te3. Hence we develop a fully non-perturbative description of these effects. In particular, we find that the dependence of the warping amplitude on the Fermi energy manifests itself in a strong dependence of the diffusion constant on this Fermi energy, leading to several important experimental consequences. Moreover, the combination of a strong warping with an in plane Zeeman effect leads to an attenuation of conductance fluctuations in contrast to the situation of unwarped Dirac surface states.

arXiv comment27 pages

References in corpus (25)

• Topological Insulators
• Topological insulators and superconductors
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Classification of topological insulators and superconductors in three spatial dimensions
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Anderson Transitions
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Model Hamiltonian for Topological Insulators
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Spin Polarization and Transport of Surface States in the Topological Insulators Bi2Se3 and Bi2Te3 from First Principles
• Bulk Fermi surface coexistence with Dirac surface state in Bi${}_2$Se${}_3$: a comparison of photoemission and Shubnikov-de Haas measurements
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• Strong surface scattering in ultrahigh mobility Bi2Se3 topological insulator crystals
• Topological delocalization of two-dimensional massless Dirac fermions
• Angular-dependent oscillations of the magnetoresistance in Bi_2Se_3 due to the three-dimensional bulk Fermi surface
• Two-dimensional surface charge transport in topological insulators
• Interaction-induced criticality in Z_2 topological insulators
• Weak antilocalization in HgTe quantum wells and topological surface states: Massive versus massless Dirac fermions
• Mesoscopic conductance fluctuations in graphene samples
• STM imaging of a bound state along a step on the surface of the topological insulator Bi${}_2$Te${}_3$
• Realization of an isolated Dirac node and strongly modulated Spin Texture in the topological insulator Bi2Te3

Cited by in corpus (2)

• Surface charge conductivity of topological insulator in a magnetic field: effect of hexagonal warping
• Low coverage surface diffusion in complex energy landscapes: Analytical solution and application to intercalation in topological insulators