Helical nuclear spin order in a strip of stripes in the Quantum Hall regime

Abstract

We investigate nuclear spin effects in a two-dimensional electron gas in the quantum Hall regime modeled by a weakly coupled array of interacting quantum wires. We show that the presence of hyperfine interaction between electron and nuclear spins in such wires can induce a phase transition, ordering electrons and nuclear spins into a helix in each wire. Electron-electron interaction effects, pronounced within the one-dimensional stripes, boost the transition temperature up to tens to hundreds of millikelvins in GaAs. We predict specific experimental signatures of the existence of nuclear spin order, for instance for the resistivity of the system at transitions between different quantum Hall plateaus.

16+ pages, 6 figures, updated references

References in corpus (7)

• Spin-charge separation and localization in one-dimension
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Molecular states in carbon nanotube double quantum dots
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• Nuclear Spin Relaxation in Rashba Nanowires
• NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Voltage induced conversion of helical to uniform nuclear spin polarization in a quantum wire
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• RKKY interaction at helical edges of topological superconductors
• Dihedral twist liquid models from emergent Majorana fermions
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene