# Resistively-detected NMR lineshapes in a quasi-one dimensional electron system

## TL;DR

This paper investigates resistively-detected NMR lineshapes in a quantum Hall system, revealing a novel dispersive lineshape in a quantum point contact that indicates complex hyperfine interactions and nuclear polarization phenomena.

## Contribution

It reports the first observation of a dispersive RDNMR lineshape in a QPC, highlighting simultaneous hyperfine-mediated spin flip-flop processes affecting nuclear polarization.

## Key findings

- Dispersive lineshape observed at specific filling factors
- Evidence of two hyperfine-mediated spin flip-flop processes
- Nuclear polarization occurs in separate regions with different electronic polarizations

## Abstract

We observe variation in the resistively-detected nuclear magnetic resonance (RDNMR) lineshapes in quantum Hall breakdown. The breakdown is locally occurred in a gate-defined quantum point contact (QPC) region. Of particular interest is the observation of a dispersive lineshape occured when the bulk 2D electron gas (2DEG) is set to $\nu_{\rm{b}} = 2$ and the QPC filling factor to the vicinity of $\nu_{\rm{QPC}} = 1$, strikingly resemble the dispersive lineshape observed on a 2D quantum Hall state. This previously unobserved lineshape in a QPC points to simultaneous occurrence of two hyperfine-mediated spin flip-flop processes within the QPC. Those events give rise to two different sets of nuclei polarized in the opposite direction and positioned at a separate region with different degree of electronic polarizations.