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

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.

12 pages, 8 figures

References in corpus (10)

• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• NMR profiling of quantum electron solids in high magnetic fields
• Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Anisotropic states of two-dimensional electrons in high magnetic fields
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• NMR linewidth and Skyrmion localization in quantum Hall ferromagnets

Cited by in corpus (6)

• Landauer-Büttiker approach for hyperfine mediated electronic transport in the integer quantum Hall regime
• Role of chiral quantum Hall edge states in nuclear spin polarization
• Microscopic details of stripes and bubbles in the quantum Hall regime
• The microscopic picture of the integer quantum Hall regime
• Nuclear magnetic resonance line shapes of Wigner crystals in ${}^{13}$C-enriched graphene
• Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas