NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction

TL;DR

This paper investigates the NMR response of a quantum wire with nuclear spin helix order, highlighting how internal RKKY exchange influences resonance behavior under various interactions.

Contribution

It introduces a comprehensive model including RKKY, spin-orbit, and dipolar interactions to analyze NMR response in nuclear spin helix systems.

Findings

NMR absorption occurs at the internal RKKY exchange frequency.

Resonance peak splitting is caused by the external static field.

Transition from paramagnet to helimagnet affects NMR response.

Abstract

We calculate the nuclear magnetic resonance (NMR) response of a quantum wire where at low temperature a self-sustained electron-nuclear spin order is created. Our model includes the electron mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange, electron spin-orbit interactions, nuclear dipolar interactions, and the static and oscillating NMR fields, all of which play an essential role. The paramagnet to helimagnet transition in the nuclear system is reflected in an unusual response: it absorbs at a frequency given by the internal RKKY exchange field, rather than the external static field, whereas the latter leads to a splitting of the resonance peak.