Magnetic-field switchable metal-insulator transitions in a quasi-helical conductor

Abstract

We study Anderson localization in disordered helical conductors that are obtained from one-dimensional conductors with spin-orbit interaction and a magnetic field, or from equivalent systems. We call such conductors "quasi-helical" because the spins of the counterpropagating modes are not perfectly antiparallel and have a small spin-wavefunction overlap that is tunable by the magnetic field. Due to the overlap, disorder backscattering is possible and allows a localization transition. A conductor can pass through two localization transitions with increasing field, one from the conventionally localized system to the quasi-helical conductor (with localization length exceeding the system length), and one at a higher field again to a localized state, due now, however, to backscattering below the magnetic field induced pseudo-gap. We investigate these transitions using a unified two-step renormalization group approach.

arXiv comment5 pages, 4 figures; published version

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Cited by in corpus (8)

• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• Low-energy properties of fractional helical Luttinger liquids
• Renormalization of anticrossings in interacting quantum wires with Rashba and Dresselhaus spin-orbit couplings
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Synthetic helical liquid in a quantum wire
• Tunneling spectroscopy between one-dimensional helical conductors
• Spin responses of a disordered helical superconducting edge under Zeeman field