RD-NMR spectra of the crystal states of the two-dimensional electron gas in a quantizing magnetic field

TL;DR

This paper theoretically investigates how resistively-detected NMR spectra can distinguish different crystal phases of a two-dimensional electron gas in a magnetic field, enhancing understanding of electron solid topographies.

Contribution

It provides a theoretical analysis of RD-NMR line shapes for various 2DEG crystal phases, linking spin textures to NMR spectra to improve phase identification.

Findings

RD-NMR spectra vary distinctly for different crystal phases

Theoretical models connect spin textures to NMR line shapes

RD-NMR can effectively discriminate between electron solid states

Abstract

Transport experiments on the two-dimensional electron gas (2DEG) confined into a semiconductor quantum well and subjected to a quantizing magnetic field have uncovered a rich variety of uniform and nonuniform phases such as the Laughlin liquids, the Wigner, bubble and Skyrme crystals and the quantum Hall stripe state. Optically pumped nuclear magnetic resonance (OP-NMR) has also been extremely useful in studying the magnetization and dynamics of electron solids with exotic spin textures such as the Skyrme crystal. Recently, it has been demonstrated that a related technique, resistively-detected nuclear magnetic resonance (RD-NMR), could be a good tool to study the topography of the electron solids in the fractional and integer quantum Hall regimes. In this work, we compute theoretically the RD-NMR line shapes of various crystal phases of the 2DEG and study the relation between their spin density and texture and their NMR spectra. This allows us to evaluate the ability of the RD-NMR to discriminate between the various types of crystal states.