Long Range Coherent Manipulation of Nuclear Spins in Quantum Hall Ferromagnet

TL;DR

This paper demonstrates the coherent control of nuclear spins in a quantum Hall ferromagnet by leveraging hyperfine interactions and Skyrmionic textures, revealing gapless collective spin rotations that influence nuclear spin relaxation.

Contribution

It introduces a method to manipulate nuclear spins via electronic spin textures in quantum Hall systems, highlighting the role of Skyrmions in nuclear spin dynamics.

Findings

Nuclear spins can be coherently manipulated through hyperfine interactions.

Skyrmionic textures exhibit gapless collective spin rotations.

These textures significantly affect nuclear spin relaxation and decoherence.

Abstract

A coherent superposition of many nuclear spin states can be prepared and manipulated via the hyperfine interaction with the electronic spins by varying the Landau level filling factor through the gate voltage in appropriately designed Quantum Hall Ferromagnet. During the manipulation periods the 2D electron system forms spatially large Skyrmionic spin textures, where many nuclear spins follow locally the electron spin polarization. It is shown that the collective spin rotation of a single spin texture is gapless in the limit of zero Zeeman splitting, and may dominate the nuclear spins relaxation and decoherence processes in the quantum well.