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.

arXiv comment16+ pages, 6 figures, updated references

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Cited by in corpus (44)

• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Coupled wire construction of chiral spin liquids
• Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators
• Majorana Fermions in Ge/Si Hole Nanowires
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• Fractional Charge and Spin States in Topological Insulator Constrictions
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
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• Helical Liquids in Semiconductors
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
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• Coupled-wire constructions: a Luttinger liquid approach to topology
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• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
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• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
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• General scatterings and electronic states in the quantum-wire network of moiré systems
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• Conductance of fractional Luttinger liquids at finite temperatures
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• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
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• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Dicke Model for Quantum Hall Systems
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• Dihedral twist liquid models from emergent Majorana fermions
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