Finite-Size Studies of the Incompressible State of the Fractionally Quantized Hall Effect and its Excitations
- 21 January 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (3) , 237-240
- https://doi.org/10.1103/physrevlett.54.237
Abstract
The incompressible states of interacting two-dimensional electrons in a high magnetic field has been studied by finite-size calculations in the spherical geometry. The excitation spectrum at Landau-level filling is described, and the Laughlin-Jastrow character of the Coulomb-interaction ground state is unambiguously confirmed. As the interaction is varied, a transition to a gapless compressible state is observed.
Keywords
This publication has 9 references indexed in Scilit:
- Fractional Statistics and the Quantum Hall EffectPhysical Review Letters, 1984
- Primitive and composite ground states in the fractional quantum hall effectSurface Science, 1984
- Activation Energies of the 1/3 and 2/3 Fractional Quantum Hall Effect in GaAs/AlxGa1-xAs HeterostructuresJournal of the Physics Society Japan, 1984
- Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effectPhysical Review B, 1984
- Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall StatesPhysical Review Letters, 1984
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Ground State of Two-Dimensional Electrons in Strong Magnetic Fields andQuantized Hall EffectPhysical Review Letters, 1983
- Two-Dimensional Magnetotransport in the Extreme Quantum LimitPhysical Review Letters, 1982