Excitonic Ions and Pseudopotentials in 2D Systems: Evidence for Quantum Hall States of an X- Gas

Abstract

Systems of up to twelve electrons and six holes on the Haldane sphere are studied by exact numerical diagonalization. The low lying states of the system involve bound excitonic complexes such as (X^n)-. The angular momenta of these complexes and the pseudopotentials describing their interaction are determined. The similarity to the electron pseudopotential suggests the possibility of incompressible ground states of a gas of X- ions for nu<=1/3. The nu=1/3 state of three X-'s is found.

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References in corpus (4)

• Long-lived charged multiple-exciton complexes in strong magnetic fields
• Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works
• Composite Fermion Approach to the Quantum Hall Hierarchy: When it Works and Why
• Incompressible states of negatively charged magneto-excitons

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• Electron Correlations in Partially Filled Lowest and Excited Landau Levels
• Composite Fermions and quantum Hall systems: Role of the Coulomb pseudopotential
• Spin excitation spectra of integral and fractional quantum Hall systems
• Energy spectra of fractional quantum Hall systems in the presence of a valence hole
• Two-Dimensional Electron-Hole Systems in a Strong Magnetic Field: Composite Fermion Picture for Multi-Component Plasmas
• Photoluminescence from fractional quantum Hall systems: Role of separation between electron and hole layers
• Composite Fermions in Fractional Quantum Hall Systems
• Negatively Charged Excitons and Photoluminescence in Asymmetric Quantum Well
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Quasiexcitons in Incompressible Quantum Liquids
• Energy spectra and photoluminescence of charged magneto-excitons
• Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states
• Effect of free carriers and impurities on density of states and optical spectra of two-dimensional magneto-excitons
• Interaction and Particle-Hole Symmetry of Laughlin Quasiparticles
• Fractionally charged magneto-excitons
• Photoluminescence of the incompressible Laughlin liquid: Excitons, charged excitons, and fractionally charged excitons
• Electron-Hole Systems in Narrow Quantum Wells: Excitonic Complexes and Photoluminescence
• Reversed-Spin Quasiparticles in Fractional Quantum Hall Systems and Their Effect on Photoluminescence