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

2015/11/27 by R. Côté, Alexandre M. Simoneau, Alexandre Simoneau
Chemistry · Physics and Astronomy · #Chemistry #Condensed matter physics #Crystal (programming language) #Electron #Fermi gas #Landau quantization #Magnetic field #Magnetic properties of thin films #NMR spectra database #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Spectral line #Spin (aerodynamics) #Wigner crystal #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.93.075305

12 pages, 8 figures

arxiv created 2015/11/27 · openalex publication_date 2016/02/08 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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