Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires

Abstract

Rashba nanowires in a magnetic field exhibit a helical regime when the spin-orbit momentum is close to the Fermi momentum, k_F \approx k_{SO}. We show that this regime is characterized by a strongly anisotropic electron spin susceptibility, with an exponentially suppressed signal along one direction in spin space, and that there are no low frequency spin fluctuations along this direction. Since the spin response in the gapless regime k_F \not \approx k_{SO} has a power law behavior in all three directions, spin measurements provide a signature of the helical regime that complements spin-insensitive conductance measurements.

7 pages, 1 figure, final version

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• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Out of equilibrium density dynamics of a quenched fermionic system
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Low-energy properties of fractional helical Luttinger liquids
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Magnetically-Confined Bound States in Rashba Systems
• Nuclear Spin Relaxation in Rashba Nanowires
• Topological BF description of 2D accelerated chiral edge modes
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• The invisible Majorana bound state at the helical edge
• Clock model and parafermions in Rashba nanowires
• Structure factor of interacting one-dimensional helical systems
• Dynamics of impurity in the environment of Dirac fermions
• Charge and spin density in the helical Luttinger liquid
• Electron-electron interactions in partially mixed helical states
• Symmetry-protected spin gaps in quantum wires
• Detection of fractional solitons in quantum spin Hall systems