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.

arXiv comment7+6 pages, 4 figures, published version

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Cited by in corpus (8)

• Average Symmetry-Protected Topological Phases
• A moiré superlattice on the surface of a topological insulator
• Superconductor versus insulator in twisted bilayer graphene
• Recovery of massless Dirac fermions at charge neutrality in strongly interacting twisted bilayer graphene with disorder
• Current-induced gap opening in interacting topological insulator surfaces
• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• Anomalous localization at the boundary of an interacting topological insulator
• Marginally localized edges of time-reversal symmetric topological superconductors