Localized surfaces of three dimensional topological insulators

Abstract

We study the surface of a three-dimensional spin chiral ${\mathrm{Z}}_2$ topological insulator (class CII), demonstrating the possibility of its localization. This arises through an interplay of interaction and statistically-symmetric disorder, that confines the gapless fermionic degrees of freedom to a network of one-dimensional helical domain-walls that can be localized. We identify two distinct regimes of this gapless insulating phase, a `clogged' regime wherein the network localization is induced by its junctions between otherwise metallic helical domain-walls, and a `fully localized' regime of localized domain-walls. The experimental signatures of these regimes are also discussed.

7+6 pages, 4 figures, published version

References in corpus (12)

• Classification of topological insulators and superconductors in three spatial dimensions
• Anderson Transitions
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Corner Junction as a Probe of Helical Edge States
• Conductivity of a generic helical liquid
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Networks of ABA and ABC stacked graphene on mica observed by scanning tunneling microscopy
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Anderson localization and the topology of classifying spaces
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Low-Temperature Conductivity of Weakly Interacting Quantum Spin Hall Edges in Strained-Layer InAs/GaInSb