Interaction induced topological protection in one-dimensional conductors

Abstract

We discuss two one-dimensional model systems -- the first is a single channel quantum wire with Ising anisotropy, while the second is two coupled helical edge states. We show that the two models are governed by the same low energy effective field theory, and interactions drive both systems to exhibit phases which are metallic, but with all single particle excitations gapped. We show that such states may be either topological or trivial; in the former case, the system demonstrates gapless end states, and insensitivity to disorder.

8 pages, 8 figures

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• Magnetic impurities at quantum critical points: large-$N$ expansion and SPT connections
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Edge Modes in One Dimensional Topological Charge Conserving Spin-Triplet Superconductors: Exact Results from Bethe Ansatz
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Majorana end states in an interacting quantum wire
• Time-Reversal Soliton Pairs In Even Spin-Chern-Number Higher-Order Topological Insulators
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Interplay between intrinsic and emergent topological protection on interacting helical modes
• Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?